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DAMASK_EICMD
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Merge remote-tracking branch 'origin/development' into MiscImprovements

This commit is contained in:
Martin Diehl 2020-02-25 17:33:39 +01:00
parent 4889e75e52 822e6b7199
commit 48604292e2
23 changed files with 2353 additions and 2440 deletions
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2
PRIVATE

@ -1 +1 @@
Subproject commit ec615d249d39e5d01446b01ab9a5b7e7601340ad
Subproject commit 6db5f4666fc651b4de3b44ceaed3f2b848170ac9

2
VERSION
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@ -1 +1 @@
v2.0.3-1732-gab88ffd2
v2.0.3-1747-ga2e8e5b1

4
processing/post/addCauchy.py
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@ -42,8 +42,8 @@ for name in filenames:
table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name)
table.add('Cauchy',
damask.mechanics.Cauchy(table.get(options.defgrad).reshape(-1,3,3),
table.get(options.stress ).reshape(-1,3,3)).reshape(-1,9),
damask.mechanics.Cauchy(table.get(options.stress ).reshape(-1,3,3),
table.get(options.defgrad).reshape(-1,3,3)).reshape(-1,9),
scriptID+' '+' '.join(sys.argv[1:]))
table.to_ASCII(sys.stdout if name is None else name)

4
processing/post/addPK2.py
View File

@ -43,8 +43,8 @@ for name in filenames:
table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name)
table.add('S',
damask.mechanics.PK2(table.get(options.defgrad).reshape(-1,3,3),
table.get(options.stress ).reshape(-1,3,3)).reshape(-1,9),
damask.mechanics.PK2(table.get(options.stress ).reshape(-1,3,3),
table.get(options.defgrad).reshape(-1,3,3)).reshape(-1,9),
scriptID+' '+' '.join(sys.argv[1:]))
table.to_ASCII(sys.stdout if name is None else name)

73
processing/post/addSpectralDecomposition.py
View File

@ -2,6 +2,7 @@
import os
import sys
from io import StringIO
from optparse import OptionParser
import numpy as np
@ -33,69 +34,27 @@ parser.add_option('--no-check',
parser.set_defaults(rh = True,
)
(options,filenames) = parser.parse_args()
if options.tensor is None:
parser.error('no data column specified.')
# --- loop over input files -------------------------------------------------------------------------
if filenames == []: filenames = [None]
for name in filenames:
try:
table = damask.ASCIItable(name = name,
buffered = False)
except: continue
damask.util.report(scriptName,name)
damask.util.report(scriptName,name)
# ------------------------------------------ read header ------------------------------------------
table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name)
table.head_read()
for tensor in options.tensor:
t = table.get(tensor).reshape(-1,3,3)
(u,v) = np.linalg.eigh(damask.mechanics.symmetric(t))
if options.rh: v[np.linalg.det(v) < 0.0,:,2] *= -1.0
# ------------------------------------------ assemble header 1 ------------------------------------
for i,o in enumerate(['Min','Mid','Max']):
table.add('eigval{}({})'.format(o,tensor),u[:,i],
scriptID+' '+' '.join(sys.argv[1:]))
items = {
'tensor': {'dim': 9, 'shape': [3,3], 'labels':options.tensor, 'column': []},
}
errors = []
remarks = []
for type, data in items.items():
for what in data['labels']:
dim = table.label_dimension(what)
if dim != data['dim']: remarks.append('column {} is not a {}...'.format(what,type))
else:
items[type]['column'].append(table.label_index(what))
for order in ['Min','Mid','Max']:
table.labels_append(['eigval{}({})'.format(order,what)]) # extend ASCII header with new labels
for order in ['Min','Mid','Max']:
table.labels_append(['{}_eigvec{}({})'.format(i+1,order,what) for i in range(3)]) # extend ASCII header with new labels
if remarks != []: damask.util.croak(remarks)
if errors != []:
damask.util.croak(errors)
table.close(dismiss = True)
continue
# ------------------------------------------ assemble header 2 ------------------------------------
table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:]))
table.head_write()
# ------------------------------------------ process data -----------------------------------------
outputAlive = True
while outputAlive and table.data_read(): # read next data line of ASCII table
for type, data in items.items():
for column in data['column']:
(u,v) = np.linalg.eigh(np.array(list(map(float,table.data[column:column+data['dim']]))).reshape(data['shape']))
if options.rh and np.dot(np.cross(v[:,0], v[:,1]), v[:,2]) < 0.0 : v[:, 2] *= -1.0 # ensure right-handed eigenvector basis
table.data_append(list(u)) # vector of max,mid,min eigval
table.data_append(list(v.transpose().reshape(data['dim']))) # 3x3=9 combo vector of max,mid,min eigvec coordinates
outputAlive = table.data_write() # output processed line in accordance with column labeling
# ------------------------------------------ output finalization -----------------------------------
table.close() # close input ASCII table (works for stdin)
for i,o in enumerate(['Min','Mid','Max']):
table.add('eigvec{}({})'.format(o,tensor),v[:,:,i],
scriptID+' '+' '.join(sys.argv[1:]))
table.to_ASCII(sys.stdout if name is None else name)

1
python/damask/__init__.py
View File

@ -15,6 +15,7 @@ from .config import Material # noqa
from .colormaps import Colormap, Color # noqa
from .orientation import Symmetry, Lattice, Rotation, Orientation # noqa
from .dadf5 import DADF5 # noqa
from .dadf5 import DADF5 as Result # noqa
from .geom import Geom # noqa
from .solver import Solver # noqa

2017
python/damask/dadf5.py
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File diff suppressed because it is too large Load Diff

4
python/damask/environment.py
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@ -8,7 +8,7 @@ class Environment():
def __init__(self):
"""Read and provide values of DAMASK configuration."""
self.options = {}
self.get_options()
self.__get_options()
def relPath(self,relative = '.'):
return os.path.join(self.rootDir(),relative)
@ -16,7 +16,7 @@ class Environment():
def rootDir(self):
return os.path.normpath(os.path.join(os.path.realpath(__file__),'../../../'))
def get_options(self):
def __get_options(self):
for item in ['DAMASK_NUM_THREADS',
'MSC_ROOT',
'MARC_VERSION',

366
python/damask/mechanics.py
View File

@ -1,11 +1,11 @@
import numpy as np
def Cauchy(F,P):
def Cauchy(P,F):
"""
Return Cauchy stress calculated from 1. Piola-Kirchhoff stress and deformation gradient.
Return Cauchy stress calculated from first Piola-Kirchhoff stress and deformation gradient.
Resulting tensor is symmetrized as the Cauchy stress needs to be symmetric.
Parameters
----------
F : numpy.array of shape (:,3,3) or (3,3)
@ -21,67 +21,10 @@ def Cauchy(F,P):
return symmetric(sigma)
def PK2(F,P):
"""
Return 2. Piola-Kirchhoff stress calculated from 1. Piola-Kirchhoff stress and deformation gradient.
Parameters
----------
F : numpy.array of shape (:,3,3) or (3,3)
Deformation gradient.
P : numpy.array of shape (:,3,3) or (3,3)
1. Piola-Kirchhoff stress.
"""
if np.shape(F) == np.shape(P) == (3,3):
S = np.dot(np.linalg.inv(F),P)
else:
S = np.einsum('ijk,ikl->ijl',np.linalg.inv(F),P)
return S
def strain_tensor(F,t,m):
"""
Return strain tensor calculated from deformation gradient.
For details refer to https://en.wikipedia.org/wiki/Finite_strain_theory and
https://de.wikipedia.org/wiki/Verzerrungstensor
Parameters
----------
F : numpy.array of shape (:,3,3) or (3,3)
Deformation gradient.
t : {‘V’, ‘U’}
Type of the polar decomposition, ‘V’ for left stretch tensor and ‘U’ for right stretch tensor.
m : float
Order of the strain.
"""
F_ = F.reshape((1,3,3)) if F.shape == (3,3) else F
if t == 'V':
B = np.matmul(F_,transpose(F_))
w,n = np.linalg.eigh(B)
elif t == 'U':
C = np.matmul(transpose(F_),F_)
w,n = np.linalg.eigh(C)
if m > 0.0:
eps = 1.0/(2.0*abs(m)) * (+ np.matmul(n,np.einsum('ij,ikj->ijk',w**m,n))
- np.broadcast_to(np.eye(3),[F_.shape[0],3,3]))
elif m < 0.0:
eps = 1.0/(2.0*abs(m)) * (- np.matmul(n,np.einsum('ij,ikj->ijk',w**m,n))
+ np.broadcast_to(np.eye(3),[F_.shape[0],3,3]))
else:
eps = np.matmul(n,np.einsum('ij,ikj->ijk',0.5*np.log(w),n))
return eps.reshape((3,3)) if np.shape(F) == (3,3) else \
eps
def deviatoric_part(x):
"""
Return deviatoric part of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
@ -89,13 +32,151 @@ def deviatoric_part(x):
"""
return x - np.eye(3)*spherical_part(x) if np.shape(x) == (3,3) else \
x - np.einsum('ijk,i->ijk',np.broadcast_to(np.eye(3),[x.shape[0],3,3]),spherical_part(x))
x - np.einsum('ijk,i->ijk',np.broadcast_to(np.eye(3),[x.shape[0],3,3]),spherical_part(x))
def eigenvalues(x):
"""
Return the eigenvalues, i.e. principal components, of a symmetric tensor.
The eigenvalues are sorted in ascending order, each repeated according to
its multiplicity.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the eigenvalues are computed.
"""
return np.linalg.eigvalsh(symmetric(x))
def eigenvectors(x,RHS=False):
"""
Return eigenvectors of a symmetric tensor.
The eigenvalues are sorted in ascending order of their associated eigenvalues.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the eigenvectors are computed.
RHS: bool, optional
Enforce right-handed coordinate system. Default is False.
"""
(u,v) = np.linalg.eigh(symmetric(x))
if RHS:
if np.shape(x) == (3,3):
if np.linalg.det(v) < 0.0: v[:,2] *= -1.0
else:
v[np.linalg.det(v) < 0.0,:,2] *= -1.0
return v
def left_stretch(x):
"""
Return the left stretch of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the left stretch is computed.
"""
return __polar_decomposition(x,'V')[0]
def maximum_shear(x):
"""
Return the maximum shear component of a symmetric tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the maximum shear is computed.
"""
w = eigenvalues(x)
return (w[0] - w[2])*0.5 if np.shape(x) == (3,3) else \
(w[:,0] - w[:,2])*0.5
def Mises_strain(epsilon):
"""
Return the Mises equivalent of a strain tensor.
Parameters
----------
epsilon : numpy.array of shape (:,3,3) or (3,3)
Symmetric strain tensor of which the von Mises equivalent is computed.
"""
return __Mises(epsilon,2.0/3.0)
def Mises_stress(sigma):
"""
Return the Mises equivalent of a stress tensor.
Parameters
----------
sigma : numpy.array of shape (:,3,3) or (3,3)
Symmetric stress tensor of which the von Mises equivalent is computed.
"""
return __Mises(sigma,3.0/2.0)
def PK2(P,F):
"""
Calculate second Piola-Kirchhoff stress from first Piola-Kirchhoff stress and deformation gradient.
Parameters
----------
P : numpy.array of shape (:,3,3) or (3,3)
1. Piola-Kirchhoff stress.
F : numpy.array of shape (:,3,3) or (3,3)
Deformation gradient.
"""
if np.shape(F) == np.shape(P) == (3,3):
S = np.dot(np.linalg.inv(F),P)
else:
S = np.einsum('ijk,ikl->ijl',np.linalg.inv(F),P)
return symmetric(S)
def right_stretch(x):
"""
Return the right stretch of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the right stretch is computed.
"""
return __polar_decomposition(x,'U')[0]
def rotational_part(x):
"""
Return the rotational part of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the rotational part is computed.
"""
return __polar_decomposition(x,'R')[0]
def spherical_part(x,tensor=False):
"""
Return spherical (hydrostatic) part of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
@ -113,42 +194,50 @@ def spherical_part(x,tensor=False):
return sph
else:
return np.einsum('ijk,i->ijk',np.broadcast_to(np.eye(3),(x.shape[0],3,3)),sph)
def Mises_stress(sigma):
def strain_tensor(F,t,m):
"""
Return the Mises equivalent of a stress tensor.
Return strain tensor calculated from deformation gradient.
For details refer to https://en.wikipedia.org/wiki/Finite_strain_theory and
https://de.wikipedia.org/wiki/Verzerrungstensor
Parameters
----------
sigma : numpy.array of shape (:,3,3) or (3,3)
Symmetric stress tensor of which the von Mises equivalent is computed.
F : numpy.array of shape (:,3,3) or (3,3)
Deformation gradient.
t : {‘V’, ‘U’}
Type of the polar decomposition, ‘V’ for left stretch tensor and ‘U’ for right stretch tensor.
m : float
Order of the strain.
"""
s = deviatoric_part(sigma)
return np.sqrt(3.0/2.0*(np.sum(s**2.0))) if np.shape(sigma) == (3,3) else \
np.sqrt(3.0/2.0*np.einsum('ijk->i',s**2.0))
def Mises_strain(epsilon):
"""
Return the Mises equivalent of a strain tensor.
Parameters
----------
epsilon : numpy.array of shape (:,3,3) or (3,3)
Symmetric strain tensor of which the von Mises equivalent is computed.
F_ = F.reshape((1,3,3)) if F.shape == (3,3) else F
if t == 'V':
B = np.matmul(F_,transpose(F_))
w,n = np.linalg.eigh(B)
elif t == 'U':
C = np.matmul(transpose(F_),F_)
w,n = np.linalg.eigh(C)
"""
s = deviatoric_part(epsilon)
return np.sqrt(2.0/3.0*(np.sum(s**2.0))) if np.shape(epsilon) == (3,3) else \
np.sqrt(2.0/3.0*np.einsum('ijk->i',s**2.0))
if m > 0.0:
eps = 1.0/(2.0*abs(m)) * (+ np.matmul(n,np.einsum('ij,ikj->ijk',w**m,n))
- np.broadcast_to(np.eye(3),[F_.shape[0],3,3]))
elif m < 0.0:
eps = 1.0/(2.0*abs(m)) * (- np.matmul(n,np.einsum('ij,ikj->ijk',w**m,n))
+ np.broadcast_to(np.eye(3),[F_.shape[0],3,3]))
else:
eps = np.matmul(n,np.einsum('ij,ikj->ijk',0.5*np.log(w),n))
return eps.reshape((3,3)) if np.shape(F) == (3,3) else \
eps
def symmetric(x):
"""
Return the symmetrized tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
@ -158,43 +247,10 @@ def symmetric(x):
return (x+transpose(x))*0.5
def maximum_shear(x):
"""
Return the maximum shear component of a symmetric tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the maximum shear is computed.
"""
w = np.linalg.eigvalsh(symmetric(x)) # eigenvalues in ascending order
return (w[2] - w[0])*0.5 if np.shape(x) == (3,3) else \
(w[:,2] - w[:,0])*0.5
def principal_components(x):
"""
Return the principal components of a symmetric tensor.
The principal components (eigenvalues) are sorted in descending order, each repeated according to
its multiplicity.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the principal compontents are computed.
"""
w = np.linalg.eigvalsh(symmetric(x)) # eigenvalues in ascending order
return w[::-1] if np.shape(x) == (3,3) else \
w[:,::-1]
def transpose(x):
"""
Return the transpose of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
@ -205,62 +261,23 @@ def transpose(x):
np.transpose(x,(0,2,1))
def rotational_part(x):
"""
Return the rotational part of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the rotational part is computed.
"""
return __polar_decomposition(x,'R')[0]
def left_stretch(x):
"""
Return the left stretch of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the left stretch is computed.
"""
return __polar_decomposition(x,'V')[0]
def right_stretch(x):
"""
Return the right stretch of a tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the right stretch is computed.
"""
return __polar_decomposition(x,'U')[0]
def __polar_decomposition(x,requested):
"""
Singular value decomposition.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Tensor of which the singular values are computed.
requested : iterable of str
Requested outputs: ‘R’ for the rotation tensor,
Requested outputs: ‘R’ for the rotation tensor,
‘V’ for left stretch tensor and ‘U’ for right stretch tensor.
"""
u, s, vh = np.linalg.svd(x)
R = np.dot(u,vh) if np.shape(x) == (3,3) else \
np.einsum('ijk,ikl->ijl',u,vh)
output = []
if 'R' in requested:
output.append(R)
@ -268,5 +285,22 @@ def __polar_decomposition(x,requested):
output.append(np.dot(x,R.T) if np.shape(x) == (3,3) else np.einsum('ijk,ilk->ijl',x,R))
if 'U' in requested:
output.append(np.dot(R.T,x) if np.shape(x) == (3,3) else np.einsum('ikj,ikl->ijl',R,x))
return tuple(output)
def __Mises(x,s):
"""
Base equation for Mises equivalent of a stres or strain tensor.
Parameters
----------
x : numpy.array of shape (:,3,3) or (3,3)
Symmetric tensor of which the von Mises equivalent is computed.
s : float
Scaling factor (2/3 for strain, 3/2 for stress).
"""
d = deviatoric_part(x)
return np.sqrt(s*(np.sum(d**2.0))) if np.shape(x) == (3,3) else \
np.sqrt(s*np.einsum('ijk->i',d**2.0))

32
python/damask/util.py
View File

@ -3,14 +3,18 @@ import time
import os
import subprocess
import shlex
from fractions import Fraction
from functools import reduce
from optparse import Option
from queue import Queue
from threading import Thread
import numpy as np
class bcolors:
"""
ASCII Colors (Blender code).
https://svn.blender.org/svnroot/bf-blender/trunk/blender/build_files/scons/tools/bcolors.py
http://stackoverflow.com/questions/287871/print-in-terminal-with-colors-using-python
"""
@ -36,7 +40,7 @@ class bcolors:
self.BOLD = ''
self.UNDERLINE = ''
self.CROSSOUT = ''
# -----------------------------
def srepr(arg,glue = '\n'):
@ -159,11 +163,29 @@ def progressBar(iteration, total, prefix='', bar_length=50):
if iteration == total: sys.stderr.write('\n')
sys.stderr.flush()
def scale_to_coprime(v):
"""Scale vector to co-prime (relatively prime) integers."""
MAX_DENOMINATOR = 1000
def get_square_denominator(x):
"""Denominator of the square of a number."""
return Fraction(x ** 2).limit_denominator(MAX_DENOMINATOR).denominator
def lcm(a, b):
"""Least common multiple."""
return a * b // np.gcd(a, b)
denominators = [int(get_square_denominator(i)) for i in v]
s = reduce(lcm, denominators) ** 0.5
m = (np.array(v)*s).astype(np.int)
return m//reduce(np.gcd,m)
class return_message():
"""Object with formatted return message."""
def __init__(self,message):
"""
Sets return message.
@ -175,7 +197,7 @@ class return_message():
"""
self.message = message
def __repr__(self):
"""Return message suitable for interactive shells."""
return srepr(self.message)

99
python/tests/test_DADF5.py
View File

@ -40,7 +40,7 @@ class TestDADF5:
assert np.allclose(in_memory,in_file)
def test_add_calculation(self,default):
default.add_calculation('2.0*np.abs(#F#)-1.0','x','-','test')
default.add_calculation('x','2.0*np.abs(#F#)-1.0','-','my notes')
loc = {'F': default.get_dataset_location('F'),
'x': default.get_dataset_location('x')}
in_memory = 2.0*np.abs(default.read_dataset(loc['F'],0))-1.0
@ -52,8 +52,8 @@ class TestDADF5:
loc = {'F': default.get_dataset_location('F'),
'P': default.get_dataset_location('P'),
'sigma':default.get_dataset_location('sigma')}
in_memory = mechanics.Cauchy(default.read_dataset(loc['F'],0),
default.read_dataset(loc['P'],0))
in_memory = mechanics.Cauchy(default.read_dataset(loc['P'],0),
default.read_dataset(loc['F'],0))
in_file = default.read_dataset(loc['sigma'],0)
assert np.allclose(in_memory,in_file)
@ -73,6 +73,54 @@ class TestDADF5:
in_file = default.read_dataset(loc['s_P'],0)
assert np.allclose(in_memory,in_file)
def test_add_eigenvalues(self,default):
default.add_Cauchy('P','F')
default.add_eigenvalues('sigma')
loc = {'sigma' :default.get_dataset_location('sigma'),
'lambda(sigma)':default.get_dataset_location('lambda(sigma)')}
in_memory = mechanics.eigenvalues(default.read_dataset(loc['sigma'],0))
in_file = default.read_dataset(loc['lambda(sigma)'],0)
assert np.allclose(in_memory,in_file)
def test_add_eigenvectors(self,default):
default.add_Cauchy('P','F')
default.add_eigenvectors('sigma')
loc = {'sigma' :default.get_dataset_location('sigma'),
'v(sigma)':default.get_dataset_location('v(sigma)')}
in_memory = mechanics.eigenvectors(default.read_dataset(loc['sigma'],0))
in_file = default.read_dataset(loc['v(sigma)'],0)
assert np.allclose(in_memory,in_file)
def test_add_maximum_shear(self,default):
default.add_Cauchy('P','F')
default.add_maximum_shear('sigma')
loc = {'sigma' :default.get_dataset_location('sigma'),
'max_shear(sigma)':default.get_dataset_location('max_shear(sigma)')}
in_memory = mechanics.maximum_shear(default.read_dataset(loc['sigma'],0)).reshape(-1,1)
in_file = default.read_dataset(loc['max_shear(sigma)'],0)
assert np.allclose(in_memory,in_file)
def test_add_Mises_strain(self,default):
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*2.0 - 1.0
default.add_strain_tensor('F',t,m)
label = 'epsilon_{}^{}(F)'.format(t,m)
default.add_Mises(label)
loc = {label :default.get_dataset_location(label),
label+'_vM':default.get_dataset_location(label+'_vM')}
in_memory = mechanics.Mises_strain(default.read_dataset(loc[label],0)).reshape(-1,1)
in_file = default.read_dataset(loc[label+'_vM'],0)
assert np.allclose(in_memory,in_file)
def test_add_Mises_stress(self,default):
default.add_Cauchy('P','F')
default.add_Mises('sigma')
loc = {'sigma' :default.get_dataset_location('sigma'),
'sigma_vM':default.get_dataset_location('sigma_vM')}
in_memory = mechanics.Mises_stress(default.read_dataset(loc['sigma'],0)).reshape(-1,1)
in_file = default.read_dataset(loc['sigma_vM'],0)
assert np.allclose(in_memory,in_file)
def test_add_norm(self,default):
default.add_norm('F',1)
loc = {'F': default.get_dataset_location('F'),
@ -81,6 +129,24 @@ class TestDADF5:
in_file = default.read_dataset(loc['|F|_1'],0)
assert np.allclose(in_memory,in_file)
def test_add_PK2(self,default):
default.add_PK2('P','F')
loc = {'F':default.get_dataset_location('F'),
'P':default.get_dataset_location('P'),
'S':default.get_dataset_location('S')}
in_memory = mechanics.PK2(default.read_dataset(loc['P'],0),
default.read_dataset(loc['F'],0))
in_file = default.read_dataset(loc['S'],0)
assert np.allclose(in_memory,in_file)
def test_add_rotational_part(self,default):
default.add_rotational_part('F')
loc = {'F': default.get_dataset_location('F'),
'R(F)': default.get_dataset_location('R(F)')}
in_memory = mechanics.rotational_part(default.read_dataset(loc['F'],0))
in_file = default.read_dataset(loc['R(F)'],0)
assert np.allclose(in_memory,in_file)
def test_add_spherical(self,default):
default.add_spherical('P')
loc = {'P': default.get_dataset_location('P'),
@ -88,3 +154,30 @@ class TestDADF5:
in_memory = mechanics.spherical_part(default.read_dataset(loc['P'],0)).reshape(-1,1)
in_file = default.read_dataset(loc['p_P'],0)
assert np.allclose(in_memory,in_file)
def test_add_strain(self,default):
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*2.0 - 1.0
default.add_strain_tensor('F',t,m)
label = 'epsilon_{}^{}(F)'.format(t,m)
loc = {'F': default.get_dataset_location('F'),
label: default.get_dataset_location(label)}
in_memory = mechanics.strain_tensor(default.read_dataset(loc['F'],0),t,m)
in_file = default.read_dataset(loc[label],0)
assert np.allclose(in_memory,in_file)
def test_add_stretch_right(self,default):
default.add_stretch_tensor('F','U')
loc = {'F': default.get_dataset_location('F'),
'U(F)': default.get_dataset_location('U(F)')}
in_memory = mechanics.right_stretch(default.read_dataset(loc['F'],0))
in_file = default.read_dataset(loc['U(F)'],0)
assert np.allclose(in_memory,in_file)
def test_add_stretch_left(self,default):
default.add_stretch_tensor('F','V')
loc = {'F': default.get_dataset_location('F'),
'V(F)': default.get_dataset_location('V(F)')}
in_memory = mechanics.left_stretch(default.read_dataset(loc['F'],0))
in_file = default.read_dataset(loc['V(F)'],0)
assert np.allclose(in_memory,in_file)

323
python/tests/test_mechanics.py
View File

@ -2,187 +2,224 @@ import numpy as np
from damask import mechanics
class TestMechanics:
n = 1000
c = np.random.randint(n)
def test_vectorize_Cauchy(self):
P = np.random.random((self.n,3,3))
F = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Cauchy(F,P)[self.c],
mechanics.Cauchy(F[self.c],P[self.c]))
def test_vectorize_strain_tensor(self):
F = np.random.random((self.n,3,3))
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*10. -5.0
assert np.allclose(mechanics.strain_tensor(F,t,m)[self.c],
mechanics.strain_tensor(F[self.c],t,m))
P = np.random.random((self.n,3,3))
F = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Cauchy(P,F)[self.c],
mechanics.Cauchy(P[self.c],F[self.c]))
def test_vectorize_deviatoric_part(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.deviatoric_part(x)[self.c],
mechanics.deviatoric_part(x[self.c]))
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.deviatoric_part(x)[self.c],
mechanics.deviatoric_part(x[self.c]))
def test_vectorize_eigenvalues(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.eigenvalues(x)[self.c],
mechanics.eigenvalues(x[self.c]))
def test_vectorize_spherical_part(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.spherical_part(x,True)[self.c],
mechanics.spherical_part(x[self.c],True))
def test_vectorize_Mises_stress(self):
sigma = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_stress(sigma)[self.c],
mechanics.Mises_stress(sigma[self.c]))
def test_vectorize_Mises_strain(self):
epsilon = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_strain(epsilon)[self.c],
mechanics.Mises_strain(epsilon[self.c]))
def test_vectorize_symmetric(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.symmetric(x)[self.c],
mechanics.symmetric(x[self.c]))
def test_vectorize_maximum_shear(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.maximum_shear(x)[self.c],
mechanics.maximum_shear(x[self.c]))
def test_vectorize_principal_components(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.principal_components(x)[self.c],
mechanics.principal_components(x[self.c]))
def test_vectorize_transpose(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.transpose(x)[self.c],
mechanics.transpose(x[self.c]))
def test_vectorize_rotational_part(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.rotational_part(x)[self.c],
mechanics.rotational_part(x[self.c]))
def test_vectorize_eigenvectors(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.eigenvectors(x)[self.c],
mechanics.eigenvectors(x[self.c]))
def test_vectorize_left_stretch(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.left_stretch(x)[self.c],
mechanics.left_stretch(x[self.c]))
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.left_stretch(x)[self.c],
mechanics.left_stretch(x[self.c]))
def test_vectorize_maximum_shear(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.maximum_shear(x)[self.c],
mechanics.maximum_shear(x[self.c]))
def test_vectorize_Mises_strain(self):
epsilon = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_strain(epsilon)[self.c],
mechanics.Mises_strain(epsilon[self.c]))
def test_vectorize_Mises_stress(self):
sigma = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_stress(sigma)[self.c],
mechanics.Mises_stress(sigma[self.c]))
def test_vectorize_PK2(self):
F = np.random.random((self.n,3,3))
P = np.random.random((self.n,3,3))
assert np.allclose(mechanics.PK2(P,F)[self.c],
mechanics.PK2(P[self.c],F[self.c]))
def test_vectorize_right_stretch(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.right_stretch(x)[self.c],
mechanics.right_stretch(x[self.c]))
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.right_stretch(x)[self.c],
mechanics.right_stretch(x[self.c]))
def test_vectorize_rotational_part(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.rotational_part(x)[self.c],
mechanics.rotational_part(x[self.c]))
def test_vectorize_spherical_part(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.spherical_part(x,True)[self.c],
mechanics.spherical_part(x[self.c],True))
def test_vectorize_strain_tensor(self):
F = np.random.random((self.n,3,3))
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*10. -5.0
assert np.allclose(mechanics.strain_tensor(F,t,m)[self.c],
mechanics.strain_tensor(F[self.c],t,m))
def test_vectorize_symmetric(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.symmetric(x)[self.c],
mechanics.symmetric(x[self.c]))
def test_vectorize_transpose(self):
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.transpose(x)[self.c],
mechanics.transpose(x[self.c]))
def test_Cauchy(self):
"""Ensure Cauchy stress is symmetrized 1. Piola-Kirchhoff stress for no deformation."""
P = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Cauchy(np.broadcast_to(np.eye(3),(self.n,3,3)),P),
mechanics.symmetric(P))
"""Ensure Cauchy stress is symmetrized 1. Piola-Kirchhoff stress for no deformation."""
P = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Cauchy(P,np.broadcast_to(np.eye(3),(self.n,3,3))),
mechanics.symmetric(P))
def test_polar_decomposition(self):
"""F = RU = VR."""
F = np.broadcast_to(np.eye(3),[self.n,3,3])*np.random.random((self.n,3,3))
R = mechanics.rotational_part(F)
V = mechanics.left_stretch(F)
U = mechanics.right_stretch(F)
assert np.allclose(np.matmul(R,U),
np.matmul(V,R))
"""F = RU = VR."""
F = np.broadcast_to(np.eye(3),[self.n,3,3])*np.random.random((self.n,3,3))
R = mechanics.rotational_part(F)
V = mechanics.left_stretch(F)
U = mechanics.right_stretch(F)
assert np.allclose(np.matmul(R,U),
np.matmul(V,R))
def test_PK2(self):
"""Ensure 2. Piola-Kirchhoff stress is symmetrized 1. Piola-Kirchhoff stress for no deformation."""
P = np.random.random((self.n,3,3))
assert np.allclose(mechanics.PK2(P,np.broadcast_to(np.eye(3),(self.n,3,3))),
mechanics.symmetric(P))
def test_strain_tensor_no_rotation(self):
"""Ensure that left and right stretch give same results for no rotation."""
F = np.broadcast_to(np.eye(3),[self.n,3,3])*np.random.random((self.n,3,3))
m = np.random.random()*20.0-10.0
assert np.allclose(mechanics.strain_tensor(F,'U',m),
mechanics.strain_tensor(F,'V',m))
"""Ensure that left and right stretch give same results for no rotation."""
F = np.broadcast_to(np.eye(3),[self.n,3,3])*np.random.random((self.n,3,3))
m = np.random.random()*20.0-10.0
assert np.allclose(mechanics.strain_tensor(F,'U',m),
mechanics.strain_tensor(F,'V',m))
def test_strain_tensor_rotation_equivalence(self):
"""Ensure that left and right strain differ only by a rotation."""
F = np.broadcast_to(np.eye(3),[self.n,3,3]) + (np.random.random((self.n,3,3))*0.5 - 0.25)
m = np.random.random()*5.0-2.5
assert np.allclose(np.linalg.det(mechanics.strain_tensor(F,'U',m)),
np.linalg.det(mechanics.strain_tensor(F,'V',m)))
"""Ensure that left and right strain differ only by a rotation."""
F = np.broadcast_to(np.eye(3),[self.n,3,3]) + (np.random.random((self.n,3,3))*0.5 - 0.25)
m = np.random.random()*5.0-2.5
assert np.allclose(np.linalg.det(mechanics.strain_tensor(F,'U',m)),
np.linalg.det(mechanics.strain_tensor(F,'V',m)))
def test_strain_tensor_rotation(self):
"""Ensure that pure rotation results in no strain."""
F = mechanics.rotational_part(np.random.random((self.n,3,3)))
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*2.0 - 1.0
assert np.allclose(mechanics.strain_tensor(F,t,m),
0.0)
def test_rotation_determinant(self):
"""
Ensure that the determinant of the rotational part is +- 1.
"""Ensure that pure rotation results in no strain."""
F = mechanics.rotational_part(np.random.random((self.n,3,3)))
t = ['V','U'][np.random.randint(0,2)]
m = np.random.random()*2.0 - 1.0
assert np.allclose(mechanics.strain_tensor(F,t,m),
0.0)
Should be +1, but random F might contain a reflection.
"""
x = np.random.random((self.n,3,3))
assert np.allclose(np.abs(np.linalg.det(mechanics.rotational_part(x))),
1.0)
def test_rotation_determinant(self):
"""
Ensure that the determinant of the rotational part is +- 1.
Should be +1, but random F might contain a reflection.
"""
x = np.random.random((self.n,3,3))
assert np.allclose(np.abs(np.linalg.det(mechanics.rotational_part(x))),
1.0)
def test_spherical_deviatoric_part(self):
"""Ensure that full tensor is sum of spherical and deviatoric part."""
x = np.random.random((self.n,3,3))
sph = mechanics.spherical_part(x,True)
assert np.allclose(sph + mechanics.deviatoric_part(x),
x)
"""Ensure that full tensor is sum of spherical and deviatoric part."""
x = np.random.random((self.n,3,3))
sph = mechanics.spherical_part(x,True)
assert np.allclose(sph + mechanics.deviatoric_part(x),
x)
def test_deviatoric_Mises(self):
"""Ensure that Mises equivalent stress depends only on deviatoric part."""
x = np.random.random((self.n,3,3))
full = mechanics.Mises_stress(x)
dev = mechanics.Mises_stress(mechanics.deviatoric_part(x))
assert np.allclose(full,
dev)
"""Ensure that Mises equivalent stress depends only on deviatoric part."""
x = np.random.random((self.n,3,3))
full = mechanics.Mises_stress(x)
dev = mechanics.Mises_stress(mechanics.deviatoric_part(x))
assert np.allclose(full,
dev)
def test_spherical_mapping(self):
"""Ensure that mapping to tensor is correct."""
x = np.random.random((self.n,3,3))
tensor = mechanics.spherical_part(x,True)
scalar = mechanics.spherical_part(x)
assert np.allclose(np.linalg.det(tensor),
scalar**3.0)
"""Ensure that mapping to tensor is correct."""
x = np.random.random((self.n,3,3))
tensor = mechanics.spherical_part(x,True)
scalar = mechanics.spherical_part(x)
assert np.allclose(np.linalg.det(tensor),
scalar**3.0)
def test_spherical_Mises(self):
"""Ensure that Mises equivalent strrain of spherical strain is 0."""
x = np.random.random((self.n,3,3))
sph = mechanics.spherical_part(x,True)
assert np.allclose(mechanics.Mises_strain(sph),
0.0)
"""Ensure that Mises equivalent strrain of spherical strain is 0."""
x = np.random.random((self.n,3,3))
sph = mechanics.spherical_part(x,True)
assert np.allclose(mechanics.Mises_strain(sph),
0.0)
def test_symmetric(self):
"""Ensure that a symmetric tensor is half of the sum of a tensor and its transpose."""
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.symmetric(x)*2.0,
mechanics.transpose(x)+x)
"""Ensure that a symmetric tensor is half of the sum of a tensor and its transpose."""
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.symmetric(x)*2.0,
mechanics.transpose(x)+x)
def test_transpose(self):
"""Ensure that a symmetric tensor equals its transpose."""
x = mechanics.symmetric(np.random.random((self.n,3,3)))
assert np.allclose(mechanics.transpose(x),
x)
"""Ensure that a symmetric tensor equals its transpose."""
x = mechanics.symmetric(np.random.random((self.n,3,3)))
assert np.allclose(mechanics.transpose(x),
x)
def test_Mises(self):
"""Ensure that equivalent stress is 3/2 of equivalent strain."""
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_stress(x)/mechanics.Mises_strain(x),
1.5)
"""Ensure that equivalent stress is 3/2 of equivalent strain."""
x = np.random.random((self.n,3,3))
assert np.allclose(mechanics.Mises_stress(x)/mechanics.Mises_strain(x),
1.5)
def test_eigenvalues(self):
"""Ensure that the characteristic polynomial can be solved."""
A = mechanics.symmetric(np.random.random((self.n,3,3)))
lambd = mechanics.eigenvalues(A)
s = np.random.randint(self.n)
for i in range(3):
assert np.allclose(np.linalg.det(A[s]-lambd[s,i]*np.eye(3)),.0)
def test_eigenvalues_and_vectors(self):
"""Ensure that eigenvalues and -vectors are the solution to the characteristic polynomial."""
A = mechanics.symmetric(np.random.random((self.n,3,3)))
lambd = mechanics.eigenvalues(A)
x = mechanics.eigenvectors(A)
s = np.random.randint(self.n)
for i in range(3):
assert np.allclose(np.dot(A[s]-lambd[s,i]*np.eye(3),x[s,:,i]),.0)
def test_eigenvectors_RHS(self):
"""Ensure that RHS coordinate system does only change sign of determinant."""
A = mechanics.symmetric(np.random.random((self.n,3,3)))
LRHS = np.linalg.det(mechanics.eigenvectors(A,RHS=False))
RHS = np.linalg.det(mechanics.eigenvectors(A,RHS=True))
assert np.allclose(np.abs(LRHS),RHS)
def test_spherical_no_shear(self):
"""Ensure that sherical stress has max shear of 0.0."""
A = mechanics.spherical_part(mechanics.symmetric(np.random.random((self.n,3,3))),True)
assert np.allclose(mechanics.maximum_shear(A),0.0)

255
src/constitutive_plastic_disloUCLA.f90
View File

@ -6,21 +6,10 @@
!> @brief crystal plasticity model for bcc metals, especially Tungsten
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_disloUCLA
real(pReal), parameter :: &
kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin
enum, bind(c)
enumerator :: &
undefined_ID, &
rho_mob_ID, &
rho_dip_ID, &
dot_gamma_sl_ID, &
gamma_sl_ID, &
Lambda_sl_ID, &
tau_pass_ID
end enum
type :: tParameters
real(pReal) :: &
aTol_rho, &
@ -28,7 +17,7 @@ submodule(constitutive) plastic_disloUCLA
mu, &
D_0, & !< prefactor for self-diffusion coefficient
Q_cl !< activation energy for dislocation climb
real(pReal), dimension(:), allocatable :: &
real(pReal), allocatable, dimension(:) :: &
rho_mob_0, & !< initial dislocation density
rho_dip_0, & !< initial dipole density
b_sl, & !< magnitude of burgers vector [m]
@ -46,30 +35,30 @@ submodule(constitutive) plastic_disloUCLA
kink_height, & !< height of the kink pair
w, & !< width of the kink pair
omega !< attempt frequency for kink pair nucleation
real(pReal), dimension(:,:), allocatable :: &
real(pReal), allocatable, dimension(:,:) :: &
h_sl_sl, & !< slip resistance from slip activity
forestProjectionEdge
real(pReal), dimension(:,:,:), allocatable :: &
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
sum_N_sl !< total number of active slip system
integer, dimension(:), allocatable :: &
integer, allocatable, dimension(:) :: &
N_sl !< number of active slip systems for each family
integer(kind(undefined_ID)), dimension(:),allocatable :: &
outputID !< ID of each post result output
character(len=pStringLen), allocatable, dimension(:) :: &
output
logical :: &
dipoleFormation !< flag indicating consideration of dipole formation
end type !< container type for internal constitutive parameters
type :: tDisloUCLAState
real(pReal), dimension(:,:), pointer :: &
rho_mob, &
rho_dip, &
gamma_sl
end type tDisloUCLAState
type :: tDisloUCLAdependentState
real(pReal), dimension(:,:), allocatable :: &
Lambda_sl, &
@ -88,41 +77,36 @@ contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @brief Perform module initialization.
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_disloUCLA_init
integer :: &
Ninstance, &
p, i, &
NipcMyPhase, &
sizeState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_DISLOUCLA_label//' init -+>>>'
write(6,'(/,a)') ' Cereceda et al., International Journal of Plasticity 78:242–256, 2016'
write(6,'(a)') ' https://dx.doi.org/10.1016/j.ijplas.2015.09.002'
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_DISLOUCLA_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' Cereceda et al., International Journal of Plasticity 78:242–256, 2016'
write(6,'(a)') ' https://dx.doi.org/10.1016/j.ijplas.2015.09.002'
Ninstance = count(phase_plasticity == PLASTICITY_DISLOUCLA_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
allocate(dependentState(Ninstance))
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
@ -134,9 +118,9 @@ module subroutine plastic_disloUCLA_init
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%mu = lattice_mu(p)
prm%aTol_rho = config%getFloat('atol_rho')
! sanity checks
if (prm%aTol_rho <= 0.0_pReal) extmsg = trim(extmsg)//' atol_rho'
@ -147,7 +131,7 @@ module subroutine plastic_disloUCLA_init
slipActive: if (prm%sum_N_sl > 0) then
prm%Schmid = lattice_SchmidMatrix_slip(prm%N_sl,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
@ -158,20 +142,20 @@ module subroutine plastic_disloUCLA_init
prm%nonSchmid_pos = prm%Schmid
prm%nonSchmid_neg = prm%Schmid
endif
prm%h_sl_sl = lattice_interaction_SlipBySlip(prm%N_sl, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%forestProjectionEdge = lattice_forestProjection_edge(prm%N_sl,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
prm%forestProjectionEdge = transpose(prm%forestProjectionEdge)
prm%rho_mob_0 = config%getFloats('rhoedge0', requiredSize=size(prm%N_sl))
prm%rho_dip_0 = config%getFloats('rhoedgedip0', requiredSize=size(prm%N_sl))
prm%v0 = config%getFloats('v0', requiredSize=size(prm%N_sl))
prm%b_sl = config%getFloats('slipburgers', requiredSize=size(prm%N_sl))
prm%delta_F = config%getFloats('qedge', requiredSize=size(prm%N_sl))
prm%i_sl = config%getFloats('clambdaslip', requiredSize=size(prm%N_sl))
prm%tau_0 = config%getFloats('tau_peierls', requiredSize=size(prm%N_sl))
prm%p = config%getFloats('p_slip', requiredSize=size(prm%N_sl), &
@ -182,14 +166,14 @@ module subroutine plastic_disloUCLA_init
prm%w = config%getFloats('kink_width', requiredSize=size(prm%N_sl))
prm%omega = config%getFloats('omega', requiredSize=size(prm%N_sl))
prm%B = config%getFloats('friction_coeff', requiredSize=size(prm%N_sl))
prm%D = config%getFloat('grainsize')
prm%D_0 = config%getFloat('d0')
prm%Q_cl = config%getFloat('qsd')
prm%atomicVolume = config%getFloat('catomicvolume') * prm%b_sl**3.0_pReal
prm%D_a = config%getFloat('cedgedipmindistance') * prm%b_sl
prm%dipoleformation = config%getFloat('dipoleformationfactor') > 0.0_pReal !should be on by default, ToDo: change to /key/-type key
! expand: family => system
prm%rho_mob_0 = math_expand(prm%rho_mob_0, prm%N_sl)
prm%rho_dip_0 = math_expand(prm%rho_dip_0, prm%N_sl)
@ -206,8 +190,8 @@ module subroutine plastic_disloUCLA_init
prm%i_sl = math_expand(prm%i_sl, prm%N_sl)
prm%atomicVolume = math_expand(prm%atomicVolume, prm%N_sl)
prm%D_a = math_expand(prm%D_a, prm%N_sl)
! sanity checks
if ( prm%D_0 <= 0.0_pReal) extmsg = trim(extmsg)//' D_0'
if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl'
@ -219,7 +203,7 @@ module subroutine plastic_disloUCLA_init
if (any(prm%tau_0 < 0.0_pReal)) extmsg = trim(extmsg)//' tau_0'
if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' cedgedipmindistance or slipb_sl'
if (any(prm%atomicVolume <= 0.0_pReal)) extmsg = trim(extmsg)//' catomicvolume or slipb_sl'
else slipActive
allocate(prm%rho_mob_0(0))
allocate(prm%rho_dip_0(0))
@ -232,39 +216,14 @@ module subroutine plastic_disloUCLA_init
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(trim(outputs(i)))
case ('edge_density')
outputID = merge(rho_mob_ID,undefined_ID,prm%sum_N_sl>0)
case ('dipole_density')
outputID = merge(rho_dip_ID,undefined_ID,prm%sum_N_sl>0)
case ('shear_rate','shearrate','shear_rate_slip','shearrate_slip')
outputID = merge(dot_gamma_sl_ID,undefined_ID,prm%sum_N_sl>0)
case ('accumulated_shear','accumulatedshear','accumulated_shear_slip')
outputID = merge(gamma_sl_ID,undefined_ID,prm%sum_N_sl>0)
case ('mfp','mfp_slip')
outputID = merge(Lambda_sl_ID,undefined_ID,prm%sum_N_sl>0)
case ('threshold_stress','threshold_stress_slip')
outputID = merge(tau_pass_ID,undefined_ID,prm%sum_N_sl>0)
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID, outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['rho_mob ','rho_dip ','gamma_sl']) * prm%sum_N_sl
sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
!--------------------------------------------------------------------------------------------------
@ -275,14 +234,14 @@ module subroutine plastic_disloUCLA_init
stt%rho_mob= spread(prm%rho_mob_0,2,NipcMyPhase)
dot%rho_mob=>plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTol_rho
startIndex = endIndex + 1
endIndex = endIndex + prm%sum_N_sl
stt%rho_dip=>plasticState(p)%state(startIndex:endIndex,:)
stt%rho_dip= spread(prm%rho_dip_0,2,NipcMyPhase)
dot%rho_dip=>plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTol_rho
startIndex = endIndex + 1
endIndex = endIndex + prm%sum_N_sl
stt%gamma_sl=>plasticState(p)%state(startIndex:endIndex,:)
@ -290,21 +249,21 @@ module subroutine plastic_disloUCLA_init
plasticState(p)%aTolState(startIndex:endIndex) = 1.0e6_pReal ! Don't use for convergence check
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
allocate(dst%Lambda_sl(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal)
allocate(dst%threshold_stress(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_disloUCLA_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @brief Calculate plastic velocity gradient and its tangent.
!--------------------------------------------------------------------------------------------------
pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
Mp,T,instance,of)
@ -312,7 +271,7 @@ pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
@ -320,18 +279,18 @@ pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%sum_N_sl) :: &
dot_gamma_pos,dot_gamma_neg, &
ddot_gamma_dtau_pos,ddot_gamma_dtau_neg
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics(Mp,T,instance,of,dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg)
do i = 1, prm%sum_N_sl
Lp = Lp + (dot_gamma_pos(i)+dot_gamma_neg(i))*prm%Schmid(1:3,1:3,i)
@ -340,17 +299,17 @@ pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, &
+ ddot_gamma_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ ddot_gamma_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo
end associate
end subroutine plastic_disloUCLA_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!> @brief Calculate the rate of change of microstructure.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
@ -358,7 +317,7 @@ module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
VacancyDiffusion
real(pReal), dimension(param(instance)%sum_N_sl) :: &
@ -369,16 +328,16 @@ module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
dot_rho_dip_formation, &
dot_rho_dip_climb, &
dip_distance
associate(prm => param(instance), stt => state(instance),dot => dotState(instance), dst => dependentState(instance))
call kinetics(Mp,T,instance,of,&
gdot_pos,gdot_neg, &
tau_pos_out = tau_pos,tau_neg_out = tau_neg)
dot%gamma_sl(:,of) = (gdot_pos+gdot_neg) ! ToDo: needs to be abs
VacancyDiffusion = prm%D_0*exp(-prm%Q_cl/(kB*T))
where(dEq0(tau_pos)) ! ToDo: use avg of pos and neg
dot_rho_dip_formation = 0.0_pReal
dot_rho_dip_climb = 0.0_pReal
@ -393,73 +352,73 @@ module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of)
* (1.0_pReal/(dip_distance+prm%D_a))
dot_rho_dip_climb = (4.0_pReal*v_cl*stt%rho_dip(:,of))/(dip_distance-prm%D_a) ! ToDo: Discuss with Franz: Stress dependency?
end where
dot%rho_mob(:,of) = abs(dot%gamma_sl(:,of))/(prm%b_sl*dst%Lambda_sl(:,of)) & ! multiplication
- dot_rho_dip_formation &
- (2.0_pReal*prm%D_a)/prm%b_sl*stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of)) ! Spontaneous annihilation of 2 single edge dislocations
dot%rho_dip(:,of) = dot_rho_dip_formation &
- (2.0_pReal*prm%D_a)/prm%b_sl*stt%rho_dip(:,of)*abs(dot%gamma_sl(:,of)) & ! Spontaneous annihilation of a single edge dislocation with a dipole constituent
- dot_rho_dip_climb
end associate
end subroutine plastic_disloUCLA_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates derived quantities from state
!> @brief Calculate derived quantities from state.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_disloUCLA_dependentState(instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%sum_N_sl) :: &
dislocationSpacing
associate(prm => param(instance), stt => state(instance),dst => dependentState(instance))
dislocationSpacing = sqrt(matmul(prm%forestProjectionEdge, &
stt%rho_mob(:,of)+stt%rho_dip(:,of)))
dst%threshold_stress(:,of) = prm%mu*prm%b_sl &
* sqrt(matmul(prm%h_sl_sl,stt%rho_mob(:,of)+stt%rho_dip(:,of)))
dst%Lambda_sl(:,of) = prm%D/(1.0_pReal+prm%D*dislocationSpacing/prm%i_sl)
end associate
end subroutine plastic_disloUCLA_dependentState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!> @brief Write results to HDF5 output file.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_disloUCLA_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance), dst => dependentState(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (rho_mob_ID)
call results_writeDataset(group,stt%rho_mob,'rho_mob',&
'mobile dislocation density','1/m²')
case (rho_dip_ID)
call results_writeDataset(group,stt%rho_dip,'rho_dip',&
'dislocation dipole density''1/m²')
case (dot_gamma_sl_ID)
call results_writeDataset(group,stt%gamma_sl,'dot_gamma_sl',& ! this is not dot!!
'plastic shear','1')
case (Lambda_sl_ID)
call results_writeDataset(group,dst%Lambda_sl,'Lambda_sl',&
'mean free path for slip','m')
case (tau_pass_ID)
call results_writeDataset(group,dst%threshold_stress,'tau_pass',&
'threshold stress for slip','Pa')
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('edge_density') ! ToDo: should be rho_mob
if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_mob,'rho_mob',&
'mobile dislocation density','1/m²')
case('dipole_density') ! ToDo: should be rho_dip
if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip,'rho_dip',&
'dislocation dipole density''1/m²')
case('shear_rate_slip') ! should be gamma
if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_sl,'dot_gamma_sl',& ! this is not dot!!
'plastic shear','1')
case('mfp_slip') !ToDo: should be Lambda
if(prm%sum_N_sl>0) call results_writeDataset(group,dst%Lambda_sl,'Lambda_sl',&
'mean free path for slip','m')
case('threshold_stress_slip') !ToDo: should be tau_pass
if(prm%sum_N_sl>0) call results_writeDataset(group,dst%threshold_stress,'tau_pass',&
'threshold stress for slip','Pa')
end select
enddo outputsLoop
end associate
@ -468,15 +427,15 @@ end subroutine plastic_disloUCLA_results
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on slip systems, their derivatives with respect to resolved stress and the
! resolved stresss
!> @brief Calculate shear rates on slip systems, their derivatives with respect to resolved
! stress, and the resolved stress.
!> @details Derivatives and resolved stress are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics(Mp,T,instance,of, &
dot_gamma_pos,dot_gamma_neg,ddot_gamma_dtau_pos,ddot_gamma_dtau_neg,tau_pos_out,tau_neg_out)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
real(pReal), intent(in) :: &
@ -484,7 +443,7 @@ pure subroutine kinetics(Mp,T,instance,of, &
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%sum_N_sl) :: &
dot_gamma_pos, &
dot_gamma_neg
@ -501,82 +460,82 @@ pure subroutine kinetics(Mp,T,instance,of, &
t_n, t_k, dtk,dtn, &
needsGoodName ! ToDo: @Karo: any idea?
integer :: j
associate(prm => param(instance), stt => state(instance), dst => dependentState(instance))
do j = 1, prm%sum_N_sl
tau_pos(j) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,j))
tau_neg(j) = math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,j))
enddo
if (present(tau_pos_out)) tau_pos_out = tau_pos
if (present(tau_neg_out)) tau_neg_out = tau_neg
associate(BoltzmannRatio => prm%delta_F/(kB*T), &
dot_gamma_0 => stt%rho_mob(:,of)*prm%b_sl*prm%v0, &
effectiveLength => dst%Lambda_sl(:,of) - prm%w)
significantPositiveTau: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check)
StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_0
StressRatio_p = StressRatio** prm%p
StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal)
needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q)
t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength)
t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos)
vel = prm%kink_height/(t_n + t_k)
dot_gamma_pos = dot_gamma_0 * sign(vel,tau_pos) * 0.5_pReal
else where significantPositiveTau
dot_gamma_pos = 0.0_pReal
end where significantPositiveTau
if (present(ddot_gamma_dtau_pos)) then
significantPositiveTau2: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check)
dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) &
* (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0
dtk = -1.0_pReal * t_k / tau_pos
dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal
ddot_gamma_dtau_pos = dot_gamma_0 * dvel* 0.5_pReal
else where significantPositiveTau2
ddot_gamma_dtau_pos = 0.0_pReal
end where significantPositiveTau2
endif
significantNegativeTau: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check)
StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_0
StressRatio_p = StressRatio** prm%p
StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal)
needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q)
t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength)
t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos)
vel = prm%kink_height/(t_n + t_k)
dot_gamma_neg = dot_gamma_0 * sign(vel,tau_neg) * 0.5_pReal
else where significantNegativeTau
dot_gamma_neg = 0.0_pReal
end where significantNegativeTau
if (present(ddot_gamma_dtau_neg)) then
significantNegativeTau2: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check)
dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) &
* (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0
dtk = -1.0_pReal * t_k / tau_neg
dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal
ddot_gamma_dtau_neg = dot_gamma_0 * dvel * 0.5_pReal
else where significantNegativeTau2
ddot_gamma_dtau_neg = 0.0_pReal
end where significantNegativeTau2
end if
end associate
end associate

519
src/constitutive_plastic_dislotwin.f90
View File

File diff suppressed because it is too large Load Diff

153
src/constitutive_plastic_isotropic.f90
View File

@ -8,14 +8,7 @@
!! untextured polycrystal
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_isotropic
enum, bind(c)
enumerator :: &
undefined_ID, &
xi_ID, &
dot_gamma_ID
end enum
type :: tParameters
real(pReal) :: &
M, & !< Taylor factor
@ -34,12 +27,12 @@ submodule(constitutive) plastic_isotropic
aTol_gamma
integer :: &
of_debug = 0
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID
logical :: &
dilatation
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type :: tIsotropicState
real(pReal), pointer, dimension(:) :: &
xi, &
@ -56,50 +49,45 @@ submodule(constitutive) plastic_isotropic
contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @brief Perform module initialization.
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_isotropic_init
integer :: &
Ninstance, &
p, i, &
p, &
NipcMyPhase, &
sizeState, sizeDotState
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'
write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018'
write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047'
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018'
write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047'
Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)), &
config => config_phase(p))
#ifdef DEBUG
if (p==material_phaseAt(debug_g,debug_e)) &
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
#endif
prm%xi_0 = config%getFloat('tau0')
prm%xi_inf = config%getFloat('tausat')
prm%dot_gamma_0 = config%getFloat('gdot0')
@ -114,9 +102,9 @@ module subroutine plastic_isotropic_init
prm%a = config%getFloat('a')
prm%aTol_xi = config%getFloat('atol_flowstress',defaultVal=1.0_pReal)
prm%aTol_gamma = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
prm%dilatation = config%keyExists('/dilatation/')
!--------------------------------------------------------------------------------------------------
! sanity checks
extmsg = ''
@ -128,79 +116,62 @@ module subroutine plastic_isotropic_init
if (prm%M <= 0.0_pReal) extmsg = trim(extmsg)//' m'
if (prm%aTol_xi <= 0.0_pReal) extmsg = trim(extmsg)//' atol_xi'
if (prm%aTol_gamma <= 0.0_pReal) extmsg = trim(extmsg)//' atol_shear'
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('flowstress')
outputID = xi_ID
case ('strainrate')
outputID = dot_gamma_ID
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID, outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['xi ','accumulated_shear'])
sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
stt%xi => plasticState(p)%state (1,:)
stt%xi = prm%xi_0
dot%xi => plasticState(p)%dotState(1,:)
plasticState(p)%aTolState(1) = prm%aTol_xi
stt%gamma => plasticState(p)%state (2,:)
dot%gamma => plasticState(p)%dotState(2,:)
plasticState(p)%aTolState(2) = prm%aTol_gamma
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_isotropic_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @brief Calculate plastic velocity gradient and its tangent.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(3,3) :: &
Mp_dev !< deviatoric part of the Mandel stress
real(pReal) :: &
@ -209,16 +180,16 @@ module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
squarenorm_Mp_dev !< square of the norm of the deviatoric part of the Mandel stress
integer :: &
k, l, m, n
associate(prm => param(instance), stt => state(instance))
Mp_dev = math_deviatoric33(Mp)
squarenorm_Mp_dev = math_mul33xx33(Mp_dev,Mp_dev)
norm_Mp_dev = sqrt(squarenorm_Mp_dev)
if (norm_Mp_dev > 0.0_pReal) then
dot_gamma = prm%dot_gamma_0 * (sqrt(1.5_pReal) * norm_Mp_dev/(prm%M*stt%xi(of))) **prm%n
Lp = dot_gamma/prm%M * Mp_dev/norm_Mp_dev
#ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
@ -240,42 +211,42 @@ module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
end if
end associate
end subroutine plastic_isotropic_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @brief Calculate inelastic velocity gradient and its tangent.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
real(pReal), dimension(3,3), intent(out) :: &
Li !< inleastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLi_dMi !< derivative of Li with respect to Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mi !< Mandel stress
Mi !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
tr !< trace of spherical part of Mandel stress (= 3 x pressure)
integer :: &
k, l, m, n
associate(prm => param(instance), stt => state(instance))
tr=math_trace33(math_spherical33(Mi))
if (prm%dilatation .and. abs(tr) > 0.0_pReal) then ! no stress or J2 plasticity --> Li and its derivative are zero
Li = math_I3 &
* prm%dot_gamma_0/prm%M * (3.0_pReal*prm%M*stt%xi(of))**(-prm%n) &
* tr * abs(tr)**(prm%n-1.0_pReal)
#ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
.and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then
@ -292,38 +263,38 @@ module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of)
Li = 0.0_pReal
dLi_dMi = 0.0_pReal
endif
end associate
end subroutine plastic_isotropic_LiAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!> @brief Calculate the rate of change of microstructure.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_isotropic_dotState(Mp,instance,of)
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
dot_gamma, & !< strainrate
xi_inf_star, & !< saturation xi
norm_Mp !< norm of the (deviatoric) Mandel stress
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
if (prm%dilatation) then
norm_Mp = sqrt(math_mul33xx33(Mp,Mp))
else
norm_Mp = sqrt(math_mul33xx33(math_deviatoric33(Mp),math_deviatoric33(Mp)))
endif
dot_gamma = prm%dot_gamma_0 * (sqrt(1.5_pReal) * norm_Mp /(prm%M*stt%xi(of))) **prm%n
if (dot_gamma > 1e-12_pReal) then
if (dEq0(prm%c_1)) then
xi_inf_star = prm%xi_inf
@ -339,28 +310,28 @@ module subroutine plastic_isotropic_dotState(Mp,instance,of)
else
dot%xi(of) = 0.0_pReal
endif
dot%gamma(of) = dot_gamma ! ToDo: not really used
end associate
end subroutine plastic_isotropic_dotState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!> @brief Write results to HDF5 output file.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_isotropic_results(instance,group)
integer, intent(in) :: instance
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (xi_ID)
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case ('flowstress') ! ToDo: should be 'xi'
call results_writeDataset(group,stt%xi,'xi','resistance against plastic flow','Pa')
end select
enddo outputsLoop

256
src/constitutive_plastic_kinehardening.f90
View File

@ -7,26 +7,13 @@
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_kinehardening
enum, bind(c)
enumerator :: &
undefined_ID, &
crss_ID, & !< critical resolved stress
crss_back_ID, & !< critical resolved back stress
sense_ID, & !< sense of acting shear stress (-1 or +1)
chi0_ID, & !< backstress at last switch of stress sense (positive?)
gamma0_ID, & !< accumulated shear at last switch of stress sense (at current switch?)
accshear_ID, &
shearrate_ID, &
resolvedstress_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0, & !< reference shear strain rate for slip
n, & !< stress exponent for slip
aTolResistance, &
aTolShear
real(pReal), allocatable, dimension(:) :: &
real(pReal), allocatable, dimension(:) :: &
crss0, & !< initial critical shear stress for slip
theta0, & !< initial hardening rate of forward stress for each slip
theta1, & !< asymptotic hardening rate of forward stress for each slip
@ -35,21 +22,21 @@ submodule(constitutive) plastic_kinehardening
tau1, &
tau1_b, &
nonSchmidCoeff
real(pReal), allocatable, dimension(:,:) :: &
real(pReal), allocatable, dimension(:,:) :: &
interaction_slipslip !< slip resistance from slip activity
real(pReal), allocatable, dimension(:,:,:) :: &
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid, &
nonSchmid_pos, &
nonSchmid_neg
integer :: &
totalNslip, & !< total number of active slip system
of_debug = 0
integer, allocatable, dimension(:) :: &
integer, allocatable, dimension(:) :: &
Nslip !< number of active slip systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type :: tKinehardeningState
real(pReal), pointer, dimension(:,:) :: & !< vectors along NipcMyInstance
crss, & !< critical resolved stress
@ -59,7 +46,7 @@ submodule(constitutive) plastic_kinehardening
gamma0, & !< accumulated shear at last switch of stress sense
accshear !< accumulated (absolute) shear
end type tKinehardeningState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
@ -72,37 +59,32 @@ contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @brief Perform module initialization.
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_init
integer :: &
Ninstance, &
p, i, o, &
p, o, &
NipcMyPhase, &
sizeState, sizeDeltaState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_label//' init -+>>>'; flush(6)
Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
allocate(deltaState(Ninstance))
do p = 1, size(phase_plasticityInstance)
if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
@ -110,22 +92,22 @@ module subroutine plastic_kinehardening_init
dlt => deltaState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)),&
config => config_phase(p))
#ifdef DEBUG
if (p==material_phaseAt(debug_g,debug_e)) then
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e)
endif
#endif
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
@ -133,7 +115,7 @@ module subroutine plastic_kinehardening_init
slipActive: if (prm%totalNslip > 0) then
prm%Schmid = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
@ -146,7 +128,7 @@ module subroutine plastic_kinehardening_init
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%crss0 = config%getFloats('crss0', requiredSize=size(prm%Nslip))
prm%tau1 = config%getFloats('tau1', requiredSize=size(prm%Nslip))
prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(prm%Nslip))
@ -154,10 +136,10 @@ module subroutine plastic_kinehardening_init
prm%theta1 = config%getFloats('theta1', requiredSize=size(prm%Nslip))
prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(prm%Nslip))
prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(prm%Nslip))
prm%gdot0 = config%getFloat('gdot0')
prm%n = config%getFloat('n_slip')
prm%gdot0 = config%getFloat('gdot0')
prm%n = config%getFloat('n_slip')
! expand: family => system
prm%crss0 = math_expand(prm%crss0, prm%Nslip)
prm%tau1 = math_expand(prm%tau1, prm%Nslip)
@ -166,9 +148,9 @@ module subroutine plastic_kinehardening_init
prm%theta1 = math_expand(prm%theta1, prm%Nslip)
prm%theta0_b = math_expand(prm%theta0_b,prm%Nslip)
prm%theta1_b = math_expand(prm%theta1_b,prm%Nslip)
!--------------------------------------------------------------------------------------------------
! sanity checks
if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0'
@ -176,58 +158,29 @@ module subroutine plastic_kinehardening_init
if (any(prm%crss0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0'
if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1'
if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b'
!ToDo: Any sensible checks for theta?
endif slipActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance')
outputID = merge(crss_ID,undefined_ID,prm%totalNslip>0)
case ('accumulatedshear')
outputID = merge(accshear_ID,undefined_ID,prm%totalNslip>0)
case ('shearrate')
outputID = merge(shearrate_ID,undefined_ID,prm%totalNslip>0)
case ('resolvedstress')
outputID = merge(resolvedstress_ID,undefined_ID,prm%totalNslip>0)
case ('backstress')
outputID = merge(crss_back_ID,undefined_ID,prm%totalNslip>0)
case ('sense')
outputID = merge(sense_ID,undefined_ID,prm%totalNslip>0)
case ('chi0')
outputID = merge(chi0_ID,undefined_ID,prm%totalNslip>0)
case ('gamma0')
outputID = merge(gamma0_ID,undefined_ID,prm%totalNslip>0)
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID , outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%totalNslip
sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%totalNslip
sizeState = sizeDotState + sizeDeltaState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,sizeDeltaState)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
@ -236,13 +189,13 @@ module subroutine plastic_kinehardening_init
stt%crss = spread(prm%crss0, 2, NipcMyPhase)
dot%crss => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%crss_back => plasticState(p)%state (startIndex:endIndex,:)
dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%accshear => plasticState(p)%state (startIndex:endIndex,:)
@ -250,34 +203,34 @@ module subroutine plastic_kinehardening_init
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
! global alias
plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:)
o = plasticState(p)%offsetDeltaState
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%sense => plasticState(p)%state (startIndex :endIndex ,:)
dlt%sense => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%chi0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%chi0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma0 => plasticState(p)%state (startIndex :endIndex ,:)
dlt%gamma0 => plasticState(p)%deltaState(startIndex-o:endIndex-o,:)
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_kinehardening_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @brief Calculate plastic velocity gradient and its tangent.
!--------------------------------------------------------------------------------------------------
pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of)
@ -285,26 +238,26 @@ pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
dgdot_dtau_pos,dgdot_dtau_neg
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
do i = 1, prm%totalNslip
Lp = Lp + (gdot_pos(i)+gdot_neg(i))*prm%Schmid(1:3,1:3,i)
forall (k=1:3,l=1:3,m=1:3,n=1:3) &
@ -312,14 +265,14 @@ pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
+ dgdot_dtau_pos(i) * prm%Schmid(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtau_neg(i) * prm%Schmid(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo
end associate
end subroutine plastic_kinehardening_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!> @brief Calculate the rate of change of microstructure.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_dotState(Mp,instance,of)
@ -328,40 +281,40 @@ module subroutine plastic_kinehardening_dotState(Mp,instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
sumGamma
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
dot%accshear(:,of) = abs(gdot_pos+gdot_neg)
sumGamma = sum(stt%accshear(:,of))
dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) &
* ( prm%theta1 &
+ (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) &
* exp(-sumGamma*prm%theta0/prm%tau1) &
)
dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * &
( prm%theta1_b + &
(prm%theta0_b - prm%theta1_b &
+ prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))&
) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) &
)
end associate
end subroutine plastic_kinehardening_dotState
!--------------------------------------------------------------------------------------------------
!> @brief calculates (instantaneous) incremental change of microstructure
!> @brief Calculate (instantaneous) incremental change of microstructure.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
@ -370,18 +323,18 @@ module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNslip) :: &
gdot_pos,gdot_neg, &
sense
associate(prm => param(instance), stt => state(instance), dlt => deltaState(instance))
call kinetics(Mp,instance,of,gdot_pos,gdot_neg)
sense = merge(state(instance)%sense(:,of), & ! keep existing...
sign(1.0_pReal,gdot_pos+gdot_neg), & ! ...or have a defined
dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction
#ifdef DEBUG
if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 &
.and. (of == prm%of_debug &
@ -390,7 +343,7 @@ module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
write(6,*) sense,state(instance)%sense(:,of)
endif
#endif
!--------------------------------------------------------------------------------------------------
! switch in sense of shear?
where(dNeq(sense,stt%sense(:,of),0.1_pReal))
@ -402,45 +355,43 @@ module subroutine plastic_kinehardening_deltaState(Mp,instance,of)
dlt%chi0 (:,of) = 0.0_pReal
dlt%gamma0(:,of) = 0.0_pReal
end where
end associate
end subroutine plastic_kinehardening_deltaState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!> @brief Write results to HDF5 output file.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_kinehardening_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (crss_ID)
call results_writeDataset(group,stt%crss,'xi_sl', &
'resistance against plastic slip','Pa')
case(crss_back_ID)
call results_writeDataset(group,stt%crss_back,'tau_back', &
'back stress against plastic slip','Pa')
case (sense_ID)
call results_writeDataset(group,stt%sense,'sense_of_shear','tbd','1')
case (chi0_ID)
call results_writeDataset(group,stt%chi0,'chi0','tbd','Pa')
case (gamma0_ID)
call results_writeDataset(group,stt%gamma0,'gamma0','tbd','1')
case (accshear_ID)
call results_writeDataset(group,stt%accshear,'gamma_sl', &
'plastic shear','1')
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('resistance')
if(prm%totalNslip>0) call results_writeDataset(group,stt%crss,'xi_sl', &
'resistance against plastic slip','Pa')
case('backstress') ! ToDo: should be 'tau_back'
if(prm%totalNslip>0) call results_writeDataset(group,stt%crss_back,'tau_back', &
'back stress against plastic slip','Pa')
case ('sense')
if(prm%totalNslip>0) call results_writeDataset(group,stt%sense,'sense_of_shear', &
'tbd','1')
case ('chi0')
if(prm%totalNslip>0) call results_writeDataset(group,stt%chi0,'chi0', &
'tbd','Pa')
case ('gamma0')
if(prm%totalNslip>0) call results_writeDataset(group,stt%gamma0,'gamma0', &
'tbd','1')
case ('accumulatedshear')
if(prm%totalNslip>0) call results_writeDataset(group,stt%accshear,'gamma_sl', &
'plastic shear','1')
end select
enddo outputsLoop
end associate
@ -449,10 +400,11 @@ end subroutine plastic_kinehardening_results
!--------------------------------------------------------------------------------------------------
!> @brief calculates shear rates on slip systems and derivatives with respect to resolved stress
!> @details: Shear rates are calculated only optionally.
!> @brief Calculate shear rates on slip systems and their derivatives with respect to resolved
! stress.
!> @details: Derivatives are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
! have the optional arguments at the end.
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics(Mp,instance,of, &
gdot_pos,gdot_neg,dgdot_dtau_pos,dgdot_dtau_neg)
@ -462,44 +414,44 @@ pure subroutine kinetics(Mp,instance,of, &
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_pos, &
gdot_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_pos, &
dgdot_dtau_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_pos, &
tau_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i)) - stt%crss_back(i,of)
tau_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)) - stt%crss_back(i,of), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_pos))
gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos)
else where
gdot_pos = 0.0_pReal
end where
where(dNeq0(tau_neg))
gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg)
else where
gdot_neg = 0.0_pReal
end where
if (present(dgdot_dtau_pos)) then
where(dNeq0(gdot_pos))
dgdot_dtau_pos = gdot_pos*prm%n/tau_pos

12
src/constitutive_plastic_none.f90
View File

@ -18,19 +18,19 @@ module subroutine plastic_none_init
Ninstance, &
p, &
NipcMyPhase
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>'
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_label//' init -+>>>'; flush(6)
Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
call material_allocatePlasticState(p,NipcMyPhase,0,0,0)
enddo
end subroutine plastic_none_init

203
src/constitutive_plastic_nonlocal.f90
View File

@ -48,32 +48,6 @@ submodule(constitutive) plastic_nonlocal
real(pReal), dimension(:,:,:,:,:,:), allocatable :: &
compatibility !< slip system compatibility between me and my neighbors
enum, bind(c)
enumerator :: &
undefined_ID, &
rho_sgl_mob_edg_pos_ID, &
rho_sgl_mob_edg_neg_ID, &
rho_sgl_mob_scr_pos_ID, &
rho_sgl_mob_scr_neg_ID, &
rho_sgl_imm_edg_pos_ID, &
rho_sgl_imm_edg_neg_ID, &
rho_sgl_imm_scr_pos_ID, &
rho_sgl_imm_scr_neg_ID, &
rho_dip_edg_ID, &
rho_dip_scr_ID, &
rho_forest_ID, &
resolvedstress_back_ID, &
tau_pass_ID, &
rho_dot_sgl_ID, &
rho_dot_sgl_mobile_ID, &
rho_dot_dip_ID, &
v_edg_pos_ID, &
v_edg_neg_ID, &
v_scr_pos_ID, &
v_scr_neg_ID, &
gamma_ID
end enum
type :: tParameters !< container type for internal constitutive parameters
real(pReal) :: &
atomicVolume, & !< atomic volume
@ -135,14 +109,12 @@ submodule(constitutive) plastic_nonlocal
integer, dimension(:) ,allocatable :: &
Nslip,&
colinearSystem !< colinear system to the active slip system (only valid for fcc!)
character(len=pStringLen), allocatable, dimension(:) :: &
output
logical :: &
shortRangeStressCorrection, & !< flag indicating the use of the short range stress correction by a excess density gradient term
probabilisticMultiplication
integer(kind(undefined_ID)), dimension(:), allocatable :: &
outputID !< ID of each post result output
end type tParameters
type :: tNonlocalMicrostructure
@ -198,22 +170,19 @@ module subroutine plastic_nonlocal_init
integer :: &
sizeState, sizeDotState,sizeDependentState, sizeDeltaState, &
maxNinstances, &
p, i, &
p, &
l, &
s1, s2, &
s, &
t, &
c
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = '', &
structure
character(len=pStringLen), dimension(:), allocatable :: outputs
integer :: NofMyPhase
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_NONLOCAL_label//' init -+>>>'
write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_NONLOCAL_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' Reuber et al., Acta Materialia 71:333–348, 2014'
write(6,'(a)') ' https://doi.org/10.1016/j.actamat.2014.03.012'
@ -407,60 +376,7 @@ module subroutine plastic_nonlocal_init
endif slipActive
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(trim(outputs(i)))
case ('rho_sgl_mob_edg_pos')
outputID = merge(rho_sgl_mob_edg_pos_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_mob_edg_neg')
outputID = merge(rho_sgl_mob_edg_neg_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_mob_scr_pos')
outputID = merge(rho_sgl_mob_scr_pos_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_mob_scr_neg')
outputID = merge(rho_sgl_mob_scr_neg_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_imm_edg_pos')
outputID = merge(rho_sgl_imm_edg_pos_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_imm_edg_neg')
outputID = merge(rho_sgl_imm_edg_neg_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_imm_scr_pos')
outputID = merge(rho_sgl_imm_scr_pos_ID,undefined_ID,prm%totalNslip>0)
case ('rho_sgl_imm_scr_neg')
outputID = merge(rho_sgl_imm_scr_neg_ID,undefined_ID,prm%totalNslip>0)
case ('rho_dip_edg')
outputID = merge(rho_dip_edg_ID,undefined_ID,prm%totalNslip>0)
case ('rho_dip_scr')
outputID = merge(rho_dip_scr_ID,undefined_ID,prm%totalNslip>0)
case ('rho_forest')
outputID = merge(rho_forest_ID,undefined_ID,prm%totalNslip>0)
case ('resolvedstress_back')
outputID = merge(resolvedstress_back_ID,undefined_ID,prm%totalNslip>0)
case ('tau_pass')
outputID = merge(tau_pass_ID,undefined_ID,prm%totalNslip>0)
case ('rho_dot_sgl')
outputID = merge(rho_dot_sgl_ID,undefined_ID,prm%totalNslip>0)
case ('rho_dot_sgl_mobile')
outputID = merge(rho_dot_sgl_mobile_ID,undefined_ID,prm%totalNslip>0)
case ('rho_dot_dip')
outputID = merge(rho_dot_dip_ID,undefined_ID,prm%totalNslip>0)
case ('v_edg_pos')
outputID = merge(v_edg_pos_ID,undefined_ID,prm%totalNslip>0)
case ('v_edg_neg')
outputID = merge(v_edg_neg_ID,undefined_ID,prm%totalNslip>0)
case ('v_scr_pos')
outputID = merge(v_scr_pos_ID,undefined_ID,prm%totalNslip>0)
case ('v_scr_neg')
outputID = merge(v_scr_neg_ID,undefined_ID,prm%totalNslip>0)
case ('gamma')
outputID = merge(gamma_ID,undefined_ID,prm%totalNslip>0)
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID , outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
!--------------------------------------------------------------------------------------------------
! allocate state arrays
@ -561,7 +477,7 @@ module subroutine plastic_nonlocal_init
stt%v_scr_neg => plasticState(p)%state (15*prm%totalNslip + 1:16*prm%totalNslip ,1:NofMyPhase)
allocate(dst%tau_pass(prm%totalNslip,NofMyPhase),source=0.0_pReal)
allocate(dst%tau_Back(prm%totalNslip,NofMyPhase), source=0.0_pReal)
allocate(dst%tau_back(prm%totalNslip,NofMyPhase),source=0.0_pReal)
end associate
if (NofMyPhase > 0) call stateInit(p,NofMyPhase)
@ -1968,62 +1884,63 @@ module subroutine plastic_nonlocal_results(instance,group)
integer, intent(in) :: instance
character(len=*),intent(in) :: group
integer :: o
associate(prm => param(instance),dst => microstructure(instance),stt=>state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (rho_sgl_mob_edg_pos_ID)
call results_writeDataset(group,stt%rho_sgl_mob_edg_pos, 'rho_sgl_mob_edg_pos', &
'positive mobile edge density','1/m²')
case (rho_sgl_imm_edg_pos_ID)
call results_writeDataset(group,stt%rho_sgl_imm_edg_pos, 'rho_sgl_imm_edg_pos',&
'positive immobile edge density','1/m²')
case (rho_sgl_mob_edg_neg_ID)
call results_writeDataset(group,stt%rho_sgl_mob_edg_neg, 'rho_sgl_mob_edg_neg',&
'negative mobile edge density','1/m²')
case (rho_sgl_imm_edg_neg_ID)
call results_writeDataset(group,stt%rho_sgl_imm_edg_neg, 'rho_sgl_imm_edg_neg',&
'negative immobile edge density','1/m²')
case (rho_dip_edg_ID)
call results_writeDataset(group,stt%rho_dip_edg, 'rho_dip_edg',&
'edge dipole density','1/m²')
case (rho_sgl_mob_scr_pos_ID)
call results_writeDataset(group,stt%rho_sgl_mob_scr_pos, 'rho_sgl_mob_scr_pos',&
'positive mobile screw density','1/m²')
case (rho_sgl_imm_scr_pos_ID)
call results_writeDataset(group,stt%rho_sgl_imm_scr_pos, 'rho_sgl_imm_scr_pos',&
'positive immobile screw density','1/m²')
case (rho_sgl_mob_scr_neg_ID)
call results_writeDataset(group,stt%rho_sgl_mob_scr_neg, 'rho_sgl_mob_scr_neg',&
'negative mobile screw density','1/m²')
case (rho_sgl_imm_scr_neg_ID)
call results_writeDataset(group,stt%rho_sgl_imm_scr_neg, 'rho_sgl_imm_scr_neg',&
'negative immobile screw density','1/m²')
case (rho_dip_scr_ID)
call results_writeDataset(group,stt%rho_dip_scr, 'rho_dip_scr',&
'screw dipole density','1/m²')
case (rho_forest_ID)
call results_writeDataset(group,stt%rho_forest, 'rho_forest',&
'forest density','1/m²')
case (v_edg_pos_ID)
call results_writeDataset(group,stt%v_edg_pos, 'v_edg_pos',&
'positive edge velocity','m/s')
case (v_edg_neg_ID)
call results_writeDataset(group,stt%v_edg_neg, 'v_edg_neg',&
'negative edge velocity','m/s')
case (v_scr_pos_ID)
call results_writeDataset(group,stt%v_scr_pos, 'v_scr_pos',&
'positive srew velocity','m/s')
case (v_scr_neg_ID)
call results_writeDataset(group,stt%v_scr_neg, 'v_scr_neg',&
'negative screw velocity','m/s')
case(gamma_ID)
call results_writeDataset(group,stt%gamma,'gamma',&
'plastic shear','1')
case (tau_pass_ID)
call results_writeDataset(group,dst%tau_pass,'tau_pass',&
'passing stress for slip','Pa')
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('rho_sgl_mob_edg_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_pos, 'rho_sgl_mob_edg_pos', &
'positive mobile edge density','1/m²')
case('rho_sgl_imm_edg_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_pos, 'rho_sgl_imm_edg_pos',&
'positive immobile edge density','1/m²')
case('rho_sgl_mob_edg_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_neg, 'rho_sgl_mob_edg_neg',&
'negative mobile edge density','1/m²')
case('rho_sgl_imm_edg_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_neg, 'rho_sgl_imm_edg_neg',&
'negative immobile edge density','1/m²')
case('rho_dip_edg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_dip_edg, 'rho_dip_edg',&
'edge dipole density','1/m²')
case('rho_sgl_mob_scr_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_pos, 'rho_sgl_mob_scr_pos',&
'positive mobile screw density','1/m²')
case('rho_sgl_imm_scr_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_pos, 'rho_sgl_imm_scr_pos',&
'positive immobile screw density','1/m²')
case('rho_sgl_mob_scr_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_neg, 'rho_sgl_mob_scr_neg',&
'negative mobile screw density','1/m²')
case('rho_sgl_imm_scr_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_neg, 'rho_sgl_imm_scr_neg',&
'negative immobile screw density','1/m²')
case('rho_dip_scr')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_dip_scr, 'rho_dip_scr',&
'screw dipole density','1/m²')
case('rho_forest')
if(prm%totalNslip>0) call results_writeDataset(group,stt%rho_forest, 'rho_forest',&
'forest density','1/m²')
case('v_edg_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%v_edg_pos, 'v_edg_pos',&
'positive edge velocity','m/s')
case('v_edg_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%v_edg_neg, 'v_edg_neg',&
'negative edge velocity','m/s')
case('v_scr_pos')
if(prm%totalNslip>0) call results_writeDataset(group,stt%v_scr_pos, 'v_scr_pos',&
'positive srew velocity','m/s')
case('v_scr_neg')
if(prm%totalNslip>0) call results_writeDataset(group,stt%v_scr_neg, 'v_scr_neg',&
'negative screw velocity','m/s')
case('gamma')
if(prm%totalNslip>0) call results_writeDataset(group,stt%gamma,'gamma',&
'plastic shear','1')
case('tau_pass')
if(prm%totalNslip>0) call results_writeDataset(group,dst%tau_pass,'tau_pass',&
'passing stress for slip','Pa')
end select
enddo outputsLoop
end associate

249
src/constitutive_plastic_phenopowerlaw.f90
View File

@ -6,19 +6,6 @@
!--------------------------------------------------------------------------------------------------
submodule(constitutive) plastic_phenopowerlaw
enum, bind(c)
enumerator :: &
undefined_ID, &
resistance_slip_ID, &
accumulatedshear_slip_ID, &
shearrate_slip_ID, &
resolvedstress_slip_ID, &
resistance_twin_ID, &
accumulatedshear_twin_ID, &
shearrate_twin_ID, &
resolvedstress_twin_ID
end enum
type :: tParameters
real(pReal) :: &
gdot0_slip, & !< reference shear strain rate for slip
@ -37,19 +24,19 @@ submodule(constitutive) plastic_phenopowerlaw
aTolResistance, & !< absolute tolerance for integration of xi
aTolShear, & !< absolute tolerance for integration of gamma
aTolTwinfrac !< absolute tolerance for integration of f
real(pReal), allocatable, dimension(:) :: &
real(pReal), allocatable, dimension(:) :: &
xi_slip_0, & !< initial critical shear stress for slip
xi_twin_0, & !< initial critical shear stress for twin
xi_slip_sat, & !< maximum critical shear stress for slip
nonSchmidCoeff, &
H_int, & !< per family hardening activity (optional)
gamma_twin_char !< characteristic shear for twins
real(pReal), allocatable, dimension(:,:) :: &
real(pReal), allocatable, dimension(:,:) :: &
interaction_SlipSlip, & !< slip resistance from slip activity
interaction_SlipTwin, & !< slip resistance from twin activity
interaction_TwinSlip, & !< twin resistance from slip activity
interaction_TwinTwin !< twin resistance from twin activity
real(pReal), allocatable, dimension(:,:,:) :: &
real(pReal), allocatable, dimension(:,:,:) :: &
Schmid_slip, &
Schmid_twin, &
nonSchmid_pos, &
@ -57,13 +44,13 @@ submodule(constitutive) plastic_phenopowerlaw
integer :: &
totalNslip, & !< total number of active slip system
totalNtwin !< total number of active twin systems
integer, allocatable, dimension(:) :: &
integer, allocatable, dimension(:) :: &
Nslip, & !< number of active slip systems for each family
Ntwin !< number of active twin systems for each family
integer(kind(undefined_ID)), allocatable, dimension(:) :: &
outputID !< ID of each post result output
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type :: tPhenopowerlawState
real(pReal), pointer, dimension(:,:) :: &
xi_slip, &
@ -71,7 +58,7 @@ submodule(constitutive) plastic_phenopowerlaw
gamma_slip, &
gamma_twin
end type tPhenopowerlawState
!--------------------------------------------------------------------------------------------------
! containers for parameters and state
type(tParameters), allocatable, dimension(:) :: param
@ -83,7 +70,7 @@ contains
!--------------------------------------------------------------------------------------------------
!> @brief module initialization
!> @brief Perform module initialization.
!> @details reads in material parameters, allocates arrays, and does sanity checks
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_init
@ -91,51 +78,46 @@ module subroutine plastic_phenopowerlaw_init
integer :: &
Ninstance, &
p, i, &
NipcMyPhase, outputSize, &
NipcMyPhase, &
sizeState, sizeDotState, &
startIndex, endIndex
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen) :: &
extmsg = ''
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'
write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_label//' init -+>>>'; flush(6)
Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)
if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) &
write(6,'(a16,1x,i5,/)') '# instances:',Ninstance
allocate(param(Ninstance))
allocate(state(Ninstance))
allocate(dotState(Ninstance))
do p = 1, size(phase_plasticity)
if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle
associate(prm => param(phase_plasticityInstance(p)), &
dot => dotState(phase_plasticityInstance(p)), &
stt => state(phase_plasticityInstance(p)), &
config => config_phase(p))
!--------------------------------------------------------------------------------------------------
! optional parameters that need to be defined
prm%c_1 = config%getFloat('twin_c',defaultVal=0.0_pReal)
prm%c_2 = config%getFloat('twin_b',defaultVal=1.0_pReal)
prm%c_3 = config%getFloat('twin_e',defaultVal=0.0_pReal)
prm%c_4 = config%getFloat('twin_d',defaultVal=0.0_pReal)
prm%aTolResistance = config%getFloat('atol_resistance',defaultVal=1.0_pReal)
prm%aTolShear = config%getFloat('atol_shear', defaultVal=1.0e-6_pReal)
prm%aTolTwinfrac = config%getFloat('atol_twinfrac', defaultVal=1.0e-6_pReal)
! sanity checks
if (prm%aTolResistance <= 0.0_pReal) extmsg = trim(extmsg)//' aTolresistance'
if (prm%aTolShear <= 0.0_pReal) extmsg = trim(extmsg)//' aTolShear'
if (prm%aTolTwinfrac <= 0.0_pReal) extmsg = trim(extmsg)//' atoltwinfrac'
!--------------------------------------------------------------------------------------------------
! slip related parameters
prm%Nslip = config%getInts('nslip',defaultVal=emptyIntArray)
@ -143,7 +125,7 @@ module subroutine plastic_phenopowerlaw_init
slipActive: if (prm%totalNslip > 0) then
prm%Schmid_slip = lattice_SchmidMatrix_slip(prm%Nslip,config%getString('lattice_structure'),&
config%getFloat('c/a',defaultVal=0.0_pReal))
if(trim(config%getString('lattice_structure')) == 'bcc') then
prm%nonSchmidCoeff = config%getFloats('nonschmid_coefficients',&
defaultVal = emptyRealArray)
@ -157,22 +139,22 @@ module subroutine plastic_phenopowerlaw_init
prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(prm%Nslip, &
config%getFloats('interaction_slipslip'), &
config%getString('lattice_structure'))
prm%xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(prm%Nslip))
prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(prm%Nslip))
prm%H_int = config%getFloats('h_int', requiredSize=size(prm%Nslip), &
defaultVal=[(0.0_pReal,i=1,size(prm%Nslip))])
prm%gdot0_slip = config%getFloat('gdot0_slip')
prm%n_slip = config%getFloat('n_slip')
prm%a_slip = config%getFloat('a_slip')
prm%h0_SlipSlip = config%getFloat('h0_slipslip')
! expand: family => system
prm%xi_slip_0 = math_expand(prm%xi_slip_0, prm%Nslip)
prm%xi_slip_sat = math_expand(prm%xi_slip_sat,prm%Nslip)
prm%H_int = math_expand(prm%H_int, prm%Nslip)
! sanity checks
if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip'
if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip'
@ -183,7 +165,7 @@ module subroutine plastic_phenopowerlaw_init
allocate(prm%interaction_SlipSlip(0,0))
allocate(prm%xi_slip_0(0))
endif slipActive
!--------------------------------------------------------------------------------------------------
! twin related parameters
prm%Ntwin = config%getInts('ntwin', defaultVal=emptyIntArray)
@ -196,17 +178,17 @@ module subroutine plastic_phenopowerlaw_init
config%getString('lattice_structure'))
prm%gamma_twin_char = lattice_characteristicShear_twin(prm%Ntwin,config%getString('lattice_structure'),&
config%getFloat('c/a'))
prm%xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(prm%Ntwin))
prm%gdot0_twin = config%getFloat('gdot0_twin')
prm%n_twin = config%getFloat('n_twin')
prm%spr = config%getFloat('s_pr')
prm%h0_TwinTwin = config%getFloat('h0_twintwin')
! expand: family => system
prm%xi_twin_0 = math_expand(prm%xi_twin_0, prm%Ntwin)
! sanity checks
if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin'
if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin'
@ -215,7 +197,7 @@ module subroutine plastic_phenopowerlaw_init
allocate(prm%xi_twin_0(0))
allocate(prm%gamma_twin_char(0))
endif twinActive
!--------------------------------------------------------------------------------------------------
! slip-twin related parameters
slipAndTwinActive: if (prm%totalNslip > 0 .and. prm%totalNtwin > 0) then
@ -231,63 +213,25 @@ module subroutine plastic_phenopowerlaw_init
allocate(prm%interaction_TwinSlip(prm%TotalNtwin,prm%TotalNslip)) ! at least one dimension is 0
prm%h0_TwinSlip = 0.0_pReal
endif slipAndTwinActive
!--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range
if (extmsg /= '') &
call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_label//')')
!--------------------------------------------------------------------------------------------------
! output pararameters
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case ('resistance_slip')
outputID = merge(resistance_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('accumulatedshear_slip')
outputID = merge(accumulatedshear_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('shearrate_slip')
outputID = merge(shearrate_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resolvedstress_slip')
outputID = merge(resolvedstress_slip_ID,undefined_ID,prm%totalNslip>0)
outputSize = prm%totalNslip
case ('resistance_twin')
outputID = merge(resistance_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('accumulatedshear_twin')
outputID = merge(accumulatedshear_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('shearrate_twin')
outputID = merge(shearrate_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
case ('resolvedstress_twin')
outputID = merge(resolvedstress_twin_ID,undefined_ID,prm%totalNtwin>0)
outputSize = prm%totalNtwin
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID, outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
!--------------------------------------------------------------------------------------------------
! allocate state arrays
NipcMyPhase = count(material_phaseAt == p) * discretization_nIP
sizeDotState = size(['tau_slip ','gamma_slip']) * prm%totalNslip &
+ size(['tau_twin ','gamma_twin']) * prm%totalNtwin
sizeState = sizeDotState
call material_allocatePlasticState(p,NipcMyPhase,sizeState,sizeDotState,0)
!--------------------------------------------------------------------------------------------------
! locally defined state aliases and initialization of state0 and aTolState
startIndex = 1
@ -296,14 +240,14 @@ module subroutine plastic_phenopowerlaw_init
stt%xi_slip = spread(prm%xi_slip_0, 2, NipcMyPhase)
dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNtwin
stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:)
stt%xi_twin = spread(prm%xi_twin_0, 2, NipcMyPhase)
dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolResistance
startIndex = endIndex + 1
endIndex = endIndex + prm%totalNslip
stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:)
@ -317,18 +261,18 @@ module subroutine plastic_phenopowerlaw_init
stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:)
dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:)
plasticState(p)%aTolState(startIndex:endIndex) = prm%aTolShear
plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally
end associate
enddo
end subroutine plastic_phenopowerlaw_init
!--------------------------------------------------------------------------------------------------
!> @brief calculates plastic velocity gradient and its tangent
!> @brief Calculate plastic velocity gradient and its tangent.
!> @details asummes that deformation by dislocation glide affects twinned and untwinned volume
! equally (Taylor assumption). Twinning happens only in untwinned volume
!--------------------------------------------------------------------------------------------------
@ -338,13 +282,13 @@ pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
Lp !< plastic velocity gradient
real(pReal), dimension(3,3,3,3), intent(out) :: &
dLp_dMp !< derivative of Lp with respect to the Mandel stress
real(pReal), dimension(3,3), intent(in) :: &
Mp !< Mandel stress
integer, intent(in) :: &
instance, &
of
integer :: &
i,k,l,m,n
real(pReal), dimension(param(instance)%totalNslip) :: &
@ -352,12 +296,12 @@ pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
dgdot_dtauslip_pos,dgdot_dtauslip_neg
real(pReal), dimension(param(instance)%totalNtwin) :: &
gdot_twin,dgdot_dtautwin
Lp = 0.0_pReal
dLp_dMp = 0.0_pReal
associate(prm => param(instance))
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg,dgdot_dtauslip_pos,dgdot_dtauslip_neg)
slipSystems: do i = 1, prm%totalNslip
Lp = Lp + (gdot_slip_pos(i)+gdot_slip_neg(i))*prm%Schmid_slip(1:3,1:3,i)
@ -366,7 +310,7 @@ pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
+ dgdot_dtauslip_pos(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_pos(m,n,i) &
+ dgdot_dtauslip_neg(i) * prm%Schmid_slip(k,l,i) * prm%nonSchmid_neg(m,n,i)
enddo slipSystems
call kinetics_twin(Mp,instance,of,gdot_twin,dgdot_dtautwin)
twinSystems: do i = 1, prm%totalNtwin
Lp = Lp + gdot_twin(i)*prm%Schmid_twin(1:3,1:3,i)
@ -374,14 +318,14 @@ pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,insta
dLp_dMp(k,l,m,n) = dLp_dMp(k,l,m,n) &
+ dgdot_dtautwin(i)*prm%Schmid_twin(k,l,i)*prm%Schmid_twin(m,n,i)
enddo twinSystems
end associate
end subroutine plastic_phenopowerlaw_LpAndItsTangent
!--------------------------------------------------------------------------------------------------
!> @brief calculates the rate of change of microstructure
!> @brief Calculate the rate of change of microstructure.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
@ -390,7 +334,7 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
integer, intent(in) :: &
instance, &
of
real(pReal) :: &
c_SlipSlip,c_TwinSlip,c_TwinTwin, &
xi_slip_sat_offset,&
@ -398,9 +342,9 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
real(pReal), dimension(param(instance)%totalNslip) :: &
left_SlipSlip,right_SlipSlip, &
gdot_slip_pos,gdot_slip_neg
associate(prm => param(instance), stt => state(instance), dot => dotState(instance))
sumGamma = sum(stt%gamma_slip(:,of))
sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)
@ -409,26 +353,26 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of)
c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2)
c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3
c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4
!--------------------------------------------------------------------------------------------------
! calculate left and right vectors
left_SlipSlip = 1.0_pReal + prm%H_int
xi_slip_sat_offset = prm%spr*sqrt(sumF)
right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip &
* sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset))
!--------------------------------------------------------------------------------------------------
! shear rates
call kinetics_slip(Mp,instance,of,gdot_slip_pos,gdot_slip_neg)
dot%gamma_slip(:,of) = abs(gdot_slip_pos+gdot_slip_neg)
call kinetics_twin(Mp,instance,of,dot%gamma_twin(:,of))
!--------------------------------------------------------------------------------------------------
! hardening
dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * &
matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) &
+ matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of))
dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) &
+ c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of))
end associate
@ -437,33 +381,33 @@ end subroutine plastic_phenopowerlaw_dotState
!--------------------------------------------------------------------------------------------------
!> @brief writes results to HDF5 output file
!> @brief Write results to HDF5 output file.
!--------------------------------------------------------------------------------------------------
module subroutine plastic_phenopowerlaw_results(instance,group)
integer, intent(in) :: instance
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(instance), stt => state(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('resistance_slip')
if(prm%totalNslip>0) call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
'resistance against plastic slip','Pa')
case('accumulatedshear_slip')
if(prm%totalNslip>0) call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
'plastic shear','1')
case('resistance_twin')
if(prm%totalNtwin>0) call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
'resistance against twinning','Pa')
case('accumulatedshear_twin')
if(prm%totalNtwin>0) call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
'twinning shear','1')
case (resistance_slip_ID)
call results_writeDataset(group,stt%xi_slip, 'xi_sl', &
'resistance against plastic slip','Pa')
case (accumulatedshear_slip_ID)
call results_writeDataset(group,stt%gamma_slip,'gamma_sl', &
'plastic shear','1')
case (resistance_twin_ID)
call results_writeDataset(group,stt%xi_twin, 'xi_tw', &
'resistance against twinning','Pa')
case (accumulatedshear_twin_ID)
call results_writeDataset(group,stt%gamma_twin,'gamma_tw', &
'twinning shear','1')
end select
enddo outputsLoop
end associate
@ -472,10 +416,11 @@ end subroutine plastic_phenopowerlaw_results
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on slip systems and their derivatives with respect to resolved stress
!> @brief Calculate shear rates on slip systems and their derivatives with respect to resolved
! stress.
!> @details Derivatives are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end
! have the optional arguments at the end.
!--------------------------------------------------------------------------------------------------
pure subroutine kinetics_slip(Mp,instance,of, &
gdot_slip_pos,gdot_slip_neg,dgdot_dtau_slip_pos,dgdot_dtau_slip_neg)
@ -485,44 +430,44 @@ pure subroutine kinetics_slip(Mp,instance,of, &
integer, intent(in) :: &
instance, &
of
real(pReal), intent(out), dimension(param(instance)%totalNslip) :: &
gdot_slip_pos, &
gdot_slip_neg
real(pReal), intent(out), optional, dimension(param(instance)%totalNslip) :: &
dgdot_dtau_slip_pos, &
dgdot_dtau_slip_neg
real(pReal), dimension(param(instance)%totalNslip) :: &
tau_slip_pos, &
tau_slip_neg
integer :: i
logical :: nonSchmidActive
associate(prm => param(instance), stt => state(instance))
nonSchmidActive = size(prm%nonSchmidCoeff) > 0
do i = 1, prm%totalNslip
tau_slip_pos(i) = math_mul33xx33(Mp,prm%nonSchmid_pos(1:3,1:3,i))
tau_slip_neg(i) = merge(math_mul33xx33(Mp,prm%nonSchmid_neg(1:3,1:3,i)), &
0.0_pReal, nonSchmidActive)
enddo
where(dNeq0(tau_slip_pos))
gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, nonSchmidActive) & ! 1/2 if non-Schmid active
* sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos)
else where
gdot_slip_pos = 0.0_pReal
end where
where(dNeq0(tau_slip_neg))
gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2
* sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg)
else where
gdot_slip_neg = 0.0_pReal
end where
if (present(dgdot_dtau_slip_pos)) then
where(dNeq0(gdot_slip_pos))
dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos
@ -543,9 +488,9 @@ end subroutine kinetics_slip
!--------------------------------------------------------------------------------------------------
!> @brief Shear rates on twin systems and their derivatives with respect to resolved stress.
! twinning is assumed to take place only in untwinned volume.
!> @details Derivates are calculated only optionally.
!> @brief Calculate shear rates on twin systems and their derivatives with respect to resolved
! stress. Twinning is assumed to take place only in untwinned volume.
!> @details Derivatives are calculated only optionally.
! NOTE: Against the common convention, the result (i.e. intent(out)) variables are the last to
! have the optional arguments at the end.
!--------------------------------------------------------------------------------------------------
@ -557,29 +502,29 @@ pure subroutine kinetics_twin(Mp,instance,of,&
integer, intent(in) :: &
instance, &
of
real(pReal), dimension(param(instance)%totalNtwin), intent(out) :: &
gdot_twin
real(pReal), dimension(param(instance)%totalNtwin), intent(out), optional :: &
dgdot_dtau_twin
real(pReal), dimension(param(instance)%totalNtwin) :: &
tau_twin
integer :: i
associate(prm => param(instance), stt => state(instance))
do i = 1, prm%totalNtwin
tau_twin(i) = math_mul33xx33(Mp,prm%Schmid_twin(1:3,1:3,i))
enddo
where(tau_twin > 0.0_pReal)
gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction
* prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin
else where
gdot_twin = 0.0_pReal
end where
if (present(dgdot_dtau_twin)) then
where(dNeq0(gdot_twin))
dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin
@ -587,7 +532,7 @@ pure subroutine kinetics_twin(Mp,instance,of,&
dgdot_dtau_twin = 0.0_pReal
end where
endif
end associate
end subroutine kinetics_twin

70
src/crystallite.f90
View File

@ -57,9 +57,7 @@ module crystallite
crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc
crystallite_partionedLi0 !< intermediate velocity grad at start of homog inc
real(pReal), dimension(:,:,:,:,:), allocatable :: &
crystallite_invFp, & !< inverse of current plastic def grad (end of converged time step)
crystallite_subFp0,& !< plastic def grad at start of crystallite inc
crystallite_invFi, & !< inverse of current intermediate def grad (end of converged time step)
crystallite_subFi0,& !< intermediate def grad at start of crystallite inc
crystallite_subF, & !< def grad to be reached at end of crystallite inc
crystallite_subF0, & !< def grad at start of crystallite inc
@ -145,12 +143,10 @@ subroutine crystallite_init
allocate(crystallite_partionedFp0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_subFp0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_Fp(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_invFp(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_Fi0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_partionedFi0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_subFi0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_Fi(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_invFi(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_Fe(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_Lp0(3,3,cMax,iMax,eMax), source=0.0_pReal)
allocate(crystallite_partionedLp0(3,3,cMax,iMax,eMax), source=0.0_pReal)
@ -408,9 +404,7 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC)
else
crystallite_subStep(c,i,e) = num%subStepSizeCryst * crystallite_subStep(c,i,e)
crystallite_Fp (1:3,1:3,c,i,e) = crystallite_subFp0(1:3,1:3,c,i,e)
crystallite_invFp(1:3,1:3,c,i,e) = math_inv33(crystallite_Fp (1:3,1:3,c,i,e))
crystallite_Fi (1:3,1:3,c,i,e) = crystallite_subFi0(1:3,1:3,c,i,e)
crystallite_invFi(1:3,1:3,c,i,e) = math_inv33(crystallite_Fi (1:3,1:3,c,i,e))
crystallite_S (1:3,1:3,c,i,e) = crystallite_S0 (1:3,1:3,c,i,e)
if (crystallite_subStep(c,i,e) < 1.0_pReal) then ! actual (not initial) cutback
crystallite_Lp (1:3,1:3,c,i,e) = crystallite_subLp0(1:3,1:3,c,i,e)
@ -431,11 +425,11 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC)
! prepare for integration
if (crystallite_todo(c,i,e)) then
crystallite_subF(1:3,1:3,c,i,e) = crystallite_subF0(1:3,1:3,c,i,e) &
+ crystallite_subStep(c,i,e) * (crystallite_partionedF (1:3,1:3,c,i,e) &
- crystallite_partionedF0(1:3,1:3,c,i,e))
crystallite_Fe(1:3,1:3,c,i,e) = matmul(matmul(crystallite_subF (1:3,1:3,c,i,e), &
crystallite_invFp(1:3,1:3,c,i,e)), &
crystallite_invFi(1:3,1:3,c,i,e))
+ crystallite_subStep(c,i,e) *( crystallite_partionedF (1:3,1:3,c,i,e) &
-crystallite_partionedF0(1:3,1:3,c,i,e))
crystallite_Fe(1:3,1:3,c,i,e) = matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), &
math_inv33(crystallite_Fp(1:3,1:3,c,i,e))), &
math_inv33(crystallite_Fi(1:3,1:3,c,i,e)))
crystallite_subdt(c,i,e) = crystallite_subStep(c,i,e) * crystallite_dt(c,i,e)
crystallite_converged(c,i,e) = .false.
endif
@ -477,7 +471,9 @@ subroutine crystallite_stressTangent
o, &
p
real(pReal), dimension(3,3) :: temp_33_1, devNull,invSubFi0, temp_33_2, temp_33_3, temp_33_4
real(pReal), dimension(3,3) :: devNull, &
invSubFp0,invSubFi0,invFp,invFi, &
temp_33_1, temp_33_2, temp_33_3, temp_33_4
real(pReal), dimension(3,3,3,3) :: dSdFe, &
dSdF, &
dSdFi, &
@ -493,7 +489,8 @@ subroutine crystallite_stressTangent
real(pReal), dimension(9,9):: temp_99
logical :: error
!$OMP PARALLEL DO PRIVATE(dSdF,dSdFe,dSdFi,dLpdS,dLpdFi,dFpinvdF,dLidS,dLidFi,dFidS,invSubFi0,o,p, &
!$OMP PARALLEL DO PRIVATE(dSdF,dSdFe,dSdFi,dLpdS,dLpdFi,dFpinvdF,dLidS,dLidFi,dFidS,o,p, &
!$OMP invSubFp0,invSubFi0,invFp,invFi, &
!$OMP rhs_3333,lhs_3333,temp_99,temp_33_1,temp_33_2,temp_33_3,temp_33_4,temp_3333,error)
elementLooping: do e = FEsolving_execElem(1),FEsolving_execElem(2)
do i = FEsolving_execIP(1),FEsolving_execIP(2)
@ -507,16 +504,20 @@ subroutine crystallite_stressTangent
crystallite_Fi(1:3,1:3,c,i,e), &
c,i,e)
invFp = math_inv33(crystallite_Fp(1:3,1:3,c,i,e))
invFi = math_inv33(crystallite_Fi(1:3,1:3,c,i,e))
invSubFp0 = math_inv33(crystallite_subFp0(1:3,1:3,c,i,e))
invSubFi0 = math_inv33(crystallite_subFi0(1:3,1:3,c,i,e))
if (sum(abs(dLidS)) < tol_math_check) then
dFidS = 0.0_pReal
else
invSubFi0 = math_inv33(crystallite_subFi0(1:3,1:3,c,i,e))
lhs_3333 = 0.0_pReal; rhs_3333 = 0.0_pReal
do o=1,3; do p=1,3
lhs_3333(1:3,1:3,o,p) = lhs_3333(1:3,1:3,o,p) &
+ crystallite_subdt(c,i,e)*matmul(invSubFi0,dLidFi(1:3,1:3,o,p))
lhs_3333(1:3,o,1:3,p) = lhs_3333(1:3,o,1:3,p) &
+ crystallite_invFi(1:3,1:3,c,i,e)*crystallite_invFi(p,o,c,i,e)
+ invFi*invFi(p,o)
rhs_3333(1:3,1:3,o,p) = rhs_3333(1:3,1:3,o,p) &
- crystallite_subdt(c,i,e)*matmul(invSubFi0,dLidS(1:3,1:3,o,p))
enddo; enddo
@ -538,18 +539,13 @@ subroutine crystallite_stressTangent
!--------------------------------------------------------------------------------------------------
! calculate dSdF
temp_33_1 = transpose(matmul(crystallite_invFp(1:3,1:3,c,i,e), &
crystallite_invFi(1:3,1:3,c,i,e)))
temp_33_2 = matmul(crystallite_subF(1:3,1:3,c,i,e), &
math_inv33(crystallite_subFp0(1:3,1:3,c,i,e)))
temp_33_3 = matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), &
crystallite_invFp (1:3,1:3,c,i,e)), &
math_inv33(crystallite_subFi0(1:3,1:3,c,i,e)))
temp_33_1 = transpose(matmul(invFp,invFi))
temp_33_2 = matmul(crystallite_subF(1:3,1:3,c,i,e),invSubFp0)
temp_33_3 = matmul(matmul(crystallite_subF(1:3,1:3,c,i,e),invFp), invSubFi0)
do o=1,3; do p=1,3
rhs_3333(p,o,1:3,1:3) = matmul(dSdFe(p,o,1:3,1:3),temp_33_1)
temp_3333(1:3,1:3,p,o) = matmul(matmul(temp_33_2,dLpdS(1:3,1:3,p,o)), &
crystallite_invFi(1:3,1:3,c,i,e)) &
temp_3333(1:3,1:3,p,o) = matmul(matmul(temp_33_2,dLpdS(1:3,1:3,p,o)), invFi) &
+ matmul(temp_33_3,dLidS(1:3,1:3,p,o))
enddo; enddo
lhs_3333 = crystallite_subdt(c,i,e)*math_mul3333xx3333(dSdFe,temp_3333) &
@ -569,15 +565,14 @@ subroutine crystallite_stressTangent
temp_3333 = math_mul3333xx3333(dLpdS,dSdF)
do o=1,3; do p=1,3
dFpinvdF(1:3,1:3,p,o) = -crystallite_subdt(c,i,e) &
* matmul(math_inv33(crystallite_subFp0(1:3,1:3,c,i,e)), &
matmul(temp_3333(1:3,1:3,p,o),crystallite_invFi(1:3,1:3,c,i,e)))
* matmul(invSubFp0, matmul(temp_3333(1:3,1:3,p,o),invFi))
enddo; enddo
!--------------------------------------------------------------------------------------------------
! assemble dPdF
temp_33_1 = matmul(crystallite_S(1:3,1:3,c,i,e),transpose(crystallite_invFp(1:3,1:3,c,i,e)))
temp_33_2 = matmul(crystallite_invFp(1:3,1:3,c,i,e),temp_33_1)
temp_33_3 = matmul(crystallite_subF(1:3,1:3,c,i,e),crystallite_invFp(1:3,1:3,c,i,e))
temp_33_1 = matmul(crystallite_S(1:3,1:3,c,i,e),transpose(invFp))
temp_33_2 = matmul(invFp,temp_33_1)
temp_33_3 = matmul(crystallite_subF(1:3,1:3,c,i,e),invFp)
temp_33_4 = matmul(temp_33_3,crystallite_S(1:3,1:3,c,i,e))
crystallite_dPdF(1:3,1:3,1:3,1:3,c,i,e) = 0.0_pReal
@ -589,7 +584,7 @@ subroutine crystallite_stressTangent
+ matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), &
dFpinvdF(1:3,1:3,p,o)),temp_33_1) &
+ matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), &
transpose(crystallite_invFp(1:3,1:3,c,i,e))) &
transpose(invFp)) &
+ matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o)))
enddo; enddo
@ -793,28 +788,28 @@ logical function integrateStress(ipc,ip,el,timeFraction)
real(pReal), dimension(3,3):: F, & ! deformation gradient at end of timestep
Fp_new, & ! plastic deformation gradient at end of timestep
Fe_new, & ! elastic deformation gradient at end of timestep
invFp_new, & ! inverse of Fp_new
Fi_new, & ! gradient of intermediate deformation stages
invFi_new, &
invFp_current, & ! inverse of Fp_current
invFi_current, & ! inverse of Fp_current
Lpguess, & ! current guess for plastic velocity gradient
Lpguess_old, & ! known last good guess for plastic velocity gradient
Lp_constitutive, & ! plastic velocity gradient resulting from constitutive law
residuumLp, & ! current residuum of plastic velocity gradient
residuumLp_old, & ! last residuum of plastic velocity gradient
deltaLp, & ! direction of next guess
Fi_new, & ! gradient of intermediate deformation stages
invFi_new, &
invFi_current, & ! inverse of Fi_current
Liguess, & ! current guess for intermediate velocity gradient
Liguess_old, & ! known last good guess for intermediate velocity gradient
Li_constitutive, & ! intermediate velocity gradient resulting from constitutive law
residuumLi, & ! current residuum of intermediate velocity gradient
residuumLi_old, & ! last residuum of intermediate velocity gradient
deltaLi, & ! direction of next guess
Fe, & ! elastic deformation gradient
Fe_new, &
S, & ! 2nd Piola-Kirchhoff Stress in plastic (lattice) configuration
A, &
B, &
Fe, & ! elastic deformation gradient
temp_33
real(pReal), dimension(9) :: temp_9 ! needed for matrix inversion by LAPACK
integer, dimension(9) :: devNull_9 ! needed for matrix inversion by LAPACK
@ -993,16 +988,13 @@ logical function integrateStress(ipc,ip,el,timeFraction)
Fe_new = matmul(matmul(F,invFp_new),invFi_new)
integrateStress = .true.
crystallite_P (1:3,1:3,ipc,ip,el) = matmul(matmul(F,invFp_new),matmul(S,transpose(invFp_new))) ! ToDo: We propably do not need to store P!
crystallite_P (1:3,1:3,ipc,ip,el) = matmul(matmul(F,invFp_new),matmul(S,transpose(invFp_new)))
crystallite_S (1:3,1:3,ipc,ip,el) = S
crystallite_Lp (1:3,1:3,ipc,ip,el) = Lpguess
crystallite_Li (1:3,1:3,ipc,ip,el) = Liguess
crystallite_Fp (1:3,1:3,ipc,ip,el) = Fp_new
crystallite_Fi (1:3,1:3,ipc,ip,el) = Fi_new
crystallite_Fe (1:3,1:3,ipc,ip,el) = Fe_new
crystallite_invFp(1:3,1:3,ipc,ip,el) = invFp_new
crystallite_invFi(1:3,1:3,ipc,ip,el) = invFi_new
end function integrateStress

80
src/homogenization_mech_RGC.f90
View File

@ -9,17 +9,6 @@
submodule(homogenization) homogenization_mech_RGC
use rotations
enum, bind(c)
enumerator :: &
undefined_ID, &
constitutivework_ID, &
penaltyenergy_ID, &
volumediscrepancy_ID, &
averagerelaxrate_ID,&
maximumrelaxrate_ID,&
magnitudemismatch_ID
end enum
type :: tParameters
integer, dimension(:), allocatable :: &
Nconstituents
@ -31,8 +20,8 @@ submodule(homogenization) homogenization_mech_RGC
angles
integer :: &
of_debug = 0
integer(kind(undefined_ID)), dimension(:), allocatable :: &
outputID
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type :: tRGCstate
@ -71,23 +60,18 @@ module subroutine mech_RGC_init
integer :: &
Ninstance, &
h, i, &
h, &
NofMyHomog, &
sizeState, nIntFaceTot
integer(kind(undefined_ID)) :: &
outputID
character(len=pStringLen), dimension(:), allocatable :: &
outputs
write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_RGC_label//' init -+>>>'
write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_RGC_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' Tjahjanto et al., International Journal of Material Forming 2(1):939–942, 2009'
write(6,'(a)') ' https://doi.org/10.1007/s12289-009-0619-1'
write(6,'(/,a)') ' Tjahjanto et al., International Journal of Material Forming 2(1):939–942, 2009'
write(6,'(a)') ' https://doi.org/10.1007/s12289-009-0619-1'
write(6,'(/,a)') ' Tjahjanto et al., Modelling and Simulation in Materials Science and Engineering 18:015006, 2010'
write(6,'(a)') ' https://doi.org/10.1088/0965-0393/18/1/015006'
write(6,'(/,a)') ' Tjahjanto et al., Modelling and Simulation in Materials Science and Engineering 18:015006, 2010'
write(6,'(a)') ' https://doi.org/10.1088/0965-0393/18/1/015006'
Ninstance = count(homogenization_type == HOMOGENIZATION_RGC_ID)
if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0) &
@ -123,34 +107,8 @@ module subroutine mech_RGC_init
prm%dAlpha = config%getFloats('grainsize', requiredSize=3)
prm%angles = config%getFloats('clusterorientation',requiredSize=3)
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do i=1, size(outputs)
outputID = undefined_ID
select case(outputs(i))
case('constitutivework')
outputID = constitutivework_ID
case('penaltyenergy')
outputID = penaltyenergy_ID
case('volumediscrepancy')
outputID = volumediscrepancy_ID
case('averagerelaxrate')
outputID = averagerelaxrate_ID
case('maximumrelaxrate')
outputID = maximumrelaxrate_ID
case('magnitudemismatch')
outputID = magnitudemismatch_ID
end select
if (outputID /= undefined_ID) then
prm%outputID = [prm%outputID , outputID]
endif
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
NofMyHomog = count(material_homogenizationAt == h)
nIntFaceTot = 3*( (prm%Nconstituents(1)-1)*prm%Nconstituents(2)*prm%Nconstituents(3) &
+ prm%Nconstituents(1)*(prm%Nconstituents(2)-1)*prm%Nconstituents(3) &
@ -934,26 +892,24 @@ module subroutine mech_RGC_results(instance,group)
integer :: o
associate(stt => state(instance), dst => dependentState(instance), prm => param(instance))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (constitutivework_ID)
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('constitutivework')
call results_writeDataset(group,stt%work,'W',&
'work density','J/m³')
case (magnitudemismatch_ID)
case('magnitudemismatch')
call results_writeDataset(group,dst%mismatch,'N',&
'average mismatch tensor','1')
case (penaltyenergy_ID)
case('penaltyenergy')
call results_writeDataset(group,stt%penaltyEnergy,'R',&
'mismatch penalty density','J/m³')
case (volumediscrepancy_ID)
case('volumediscrepancy')
call results_writeDataset(group,dst%volumeDiscrepancy,'Delta_V',&
'volume discrepancy','m³')
case (maximumrelaxrate_ID)
case('maximumrelaxrate')
call results_writeDataset(group,dst%relaxationrate_max,'max_alpha_dot',&
'maximum relaxation rate','m/s')
case (averagerelaxrate_ID)
case('averagerelaxrate')
call results_writeDataset(group,dst%relaxationrate_avg,'avg_alpha_dot',&
'average relaxation rate','m/s')
end select

34
src/thermal_adiabatic.f90
View File

@ -16,14 +16,9 @@ module thermal_adiabatic
implicit none
private
enum, bind(c)
enumerator :: undefined_ID, &
temperature_ID
end enum
type :: tParameters
integer(kind(undefined_ID)), dimension(:), allocatable :: &
outputID
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type(tparameters), dimension(:), allocatable :: &
@ -46,10 +41,9 @@ contains
!--------------------------------------------------------------------------------------------------
subroutine thermal_adiabatic_init
integer :: maxNinstance,o,h,NofMyHomog
character(len=pStringLen), dimension(:), allocatable :: outputs
integer :: maxNinstance,h,NofMyHomog
write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_ADIABATIC_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_ADIABATIC_label//' init -+>>>'; flush(6)
maxNinstance = count(thermal_type == THERMAL_adiabatic_ID)
if (maxNinstance == 0) return
@ -60,15 +54,7 @@ subroutine thermal_adiabatic_init
if (thermal_type(h) /= THERMAL_adiabatic_ID) cycle
associate(prm => param(thermal_typeInstance(h)),config => config_homogenization(h))
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do o=1, size(outputs)
select case(outputs(o))
case('temperature')
prm%outputID = [prm%outputID, temperature_ID]
end select
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
NofMyHomog=count(material_homogenizationAt==h)
thermalState(h)%sizeState = 1
@ -76,7 +62,6 @@ subroutine thermal_adiabatic_init
allocate(thermalState(h)%subState0(1,NofMyHomog), source=thermal_initialT(h))
allocate(thermalState(h)%state (1,NofMyHomog), source=thermal_initialT(h))
nullify(thermalMapping(h)%p)
thermalMapping(h)%p => material_homogenizationMemberAt
deallocate(temperature(h)%p)
temperature(h)%p => thermalState(h)%state(1,:)
@ -246,14 +231,13 @@ subroutine thermal_adiabatic_results(homog,group)
integer, intent(in) :: homog
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(damage_typeInstance(homog)))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (temperature_ID)
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('temperature') ! ToDo: should be 'T'
call results_writeDataset(group,temperature(homog)%p,'T',&
'temperature','K')
end select

35
src/thermal_conduction.f90
View File

@ -15,15 +15,9 @@ module thermal_conduction
implicit none
private
enum, bind(c)
enumerator :: &
undefined_ID, &
temperature_ID
end enum
type :: tParameters
integer(kind(undefined_ID)), dimension(:), allocatable :: &
outputID
character(len=pStringLen), allocatable, dimension(:) :: &
output
end type tParameters
type(tparameters), dimension(:), allocatable :: &
@ -48,10 +42,9 @@ contains
subroutine thermal_conduction_init
integer :: maxNinstance,o,NofMyHomog,h
character(len=pStringLen), dimension(:), allocatable :: outputs
integer :: maxNinstance,NofMyHomog,h
write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_CONDUCTION_label//' init -+>>>'; flush(6)
write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_CONDUCTION_label//' init -+>>>'; flush(6)
maxNinstance = count(thermal_type == THERMAL_conduction_ID)
if (maxNinstance == 0) return
@ -62,15 +55,7 @@ subroutine thermal_conduction_init
if (thermal_type(h) /= THERMAL_conduction_ID) cycle
associate(prm => param(thermal_typeInstance(h)),config => config_homogenization(h))
outputs = config%getStrings('(output)',defaultVal=emptyStringArray)
allocate(prm%outputID(0))
do o=1, size(outputs)
select case(outputs(o))
case('temperature')
prm%outputID = [prm%outputID, temperature_ID]
end select
enddo
prm%output = config%getStrings('(output)',defaultVal=emptyStringArray)
NofMyHomog=count(material_homogenizationAt==h)
thermalState(h)%sizeState = 0
@ -78,7 +63,6 @@ subroutine thermal_conduction_init
allocate(thermalState(h)%subState0(0,NofMyHomog))
allocate(thermalState(h)%state (0,NofMyHomog))
nullify(thermalMapping(h)%p)
thermalMapping(h)%p => material_homogenizationMemberAt
deallocate(temperature (h)%p)
allocate (temperature (h)%p(NofMyHomog), source=thermal_initialT(h))
@ -259,14 +243,13 @@ subroutine thermal_conduction_results(homog,group)
integer, intent(in) :: homog
character(len=*), intent(in) :: group
integer :: o
associate(prm => param(damage_typeInstance(homog)))
outputsLoop: do o = 1,size(prm%outputID)
select case(prm%outputID(o))
case (temperature_ID)
outputsLoop: do o = 1,size(prm%output)
select case(trim(prm%output(o)))
case('temperature') ! ToDo: should be 'T'
call results_writeDataset(group,temperature(homog)%p,'T',&
'temperature','K')
end select