slip systems for tI (bct)

simple test. Not the best, but allows easy comparison with
- grep NTWINSYSTEM\ = src/lattice.f90
- grep NSLIPSYSTEM\ = src/lattice.f90
This commit is contained in:
Martin Diehl 2022-01-05 08:08:10 +01:00
parent 4880051284
commit 100565c79b
2 changed files with 94 additions and 7 deletions

View File

@ -378,7 +378,7 @@ class Crystal():
"""
_kinematics = {
'cF': {
'slip' :[np.array([
'slip': [np.array([
[+0,+1,-1, +1,+1,+1],
[-1,+0,+1, +1,+1,+1],
[+1,-1,+0, +1,+1,+1],
@ -398,7 +398,7 @@ class Crystal():
[+1,+0,-1, +1,+0,+1],
[+0,+1,+1, +0,+1,-1],
[+0,+1,-1, +0,+1,+1]])],
'twin' :[np.array([
'twin': [np.array([
[-2, 1, 1, 1, 1, 1],
[ 1,-2, 1, 1, 1, 1],
[ 1, 1,-2, 1, 1, 1],
@ -413,7 +413,7 @@ class Crystal():
[-1, 1, 2, -1, 1,-1]])]
},
'cI': {
'slip' :[np.array([
'slip': [np.array([
[+1,-1,+1, +0,+1,+1],
[-1,-1,+1, +0,+1,+1],
[+1,+1,+1, +0,-1,+1],
@ -464,7 +464,7 @@ class Crystal():
[+1,+1,+1, -3,+2,+1],
[+1,+1,-1, +3,-2,+1],
[+1,-1,+1, +3,+2,-1]])],
'twin' :[np.array([
'twin': [np.array([
[-1, 1, 1, 2, 1, 1],
[ 1, 1, 1, -2, 1, 1],
[ 1, 1,-1, 2,-1, 1],
@ -479,7 +479,7 @@ class Crystal():
[ 1, 1, 1, 1, 1,-2]])]
},
'hP': {
'slip' :[np.array([
'slip': [np.array([
[+2,-1,-1,+0, +0,+0,+0,+1],
[-1,+2,-1,+0, +0,+0,+0,+1],
[-1,-1,+2,+0, +0,+0,+0,+1]]),
@ -514,7 +514,7 @@ class Crystal():
[+1,+1,-2,+3, -1,-1,+2,+2],
[-1,+2,-1,+3, +1,-2,+1,+2],
[-2,+1,+1,+3, +2,-1,-1,+2]])],
'twin' :[np.array([
'twin': [np.array([
[-1, 0, 1, 1, 1, 0,-1, 2], # shear = (3-(c/a)^2)/(sqrt(3) c/a) <-10.1>{10.2}
[ 0,-1, 1, 1, 0, 1,-1, 2],
[ 1,-1, 0, 1, -1, 1, 0, 2],
@ -542,7 +542,74 @@ class Crystal():
[-1,-1, 2,-3, -1,-1, 2, 2],
[ 1,-2, 1,-3, 1,-2, 1, 2],
[ 2,-1,-1,-3, 2,-1,-1, 2]])]
},
},
'tI': {
'slip': [np.array([
[+0,+0,+1, +1,+0,+0],
[+0,+0,+1, +0,+1,+0]]),
np.array([
[+0,+0,+1, +1,+1,+0],
[+0,+0,+1, -1,+1,+0]]),
np.array([
[+0,+1,+0, +1,+0,+0],
[+1,+0,+0, +0,+1,+0]]),
np.array([
[+1,-1,+1, +1,+1,+0],
[+1,-1,-1, +1,+1,+0],
[-1,-1,-1, -1,+1,+0],
[-1,-1,+1, -1,+1,+0]]),
np.array([
[+1,-1,+0, +1,+1,+0],
[+1,+1,+0, +1,-1,+0]]),
np.array([
[+0,+1,+1, +1,+0,+0],
[+0,-1,+1, +1,+0,+0],
[-1,+0,+1, +0,+1,+0],
[+1,+0,+1, +0,+1,+0]]),
np.array([
[+0,+1,+0, +0,+0,+1],
[+1,+0,+0, +0,+0,+1]]),
np.array([
[+1,+1,+0, +0,+0,+1],
[-1,+1,+0, +0,+0,+1]]),
np.array([
[+0,+1,-1, +0,+1,+1],
[+0,-1,-1, +0,-1,+1],
[-1,+0,-1, -1,+0,+1],
[+1,+0,-1, +1,+0,+1]]),
np.array([
[+1,-1,+1, +0,+1,+1],
[+1,+1,-1, +0,+1,+1],
[+1,+1,+1, +0,+1,-1],
[-1,+1,+1, +0,+1,-1],
[+1,-1,-1, +1,+0,+1],
[-1,-1,+1, +1,+0,+1],
[+1,+1,+1, +1,+0,-1],
[+1,-1,+1, +1,+0,-1]]),
np.array([
[+1,+0,+0, +0,+1,+1],
[+1,+0,+0, +0,+1,-1],
[+0,+1,+0, +1,+0,+1],
[+0,+1,+0, +1,+0,-1]]),
np.array([
[+0,+1,-1, +2,+1,+1],
[+0,-1,-1, +2,-1,+1],
[+1,+0,-1, +1,+2,+1],
[-1,+0,-1, -1,+2,+1],
[+0,+1,-1, -2,+1,+1],
[+0,-1,-1, -2,-1,+1],
[-1,+0,-1, -1,-2,+1],
[+1,+0,-1, +1,-2,+1]]),
np.array([
[-1,+1,+1, +2,+1,+1],
[-1,-1,+1, +2,-1,+1],
[+1,-1,+1, +1,+2,+1],
[-1,-1,+1, -1,+2,+1],
[+1,+1,+1, -2,+1,+1],
[+1,-1,+1, -2,-1,+1],
[-1,+1,+1, -1,-2,+1],
[+1,+1,+1, +1,-2,+1]])]
}
}
master = _kinematics[self.lattice][mode]
if self.lattice == 'hP':

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@ -79,3 +79,23 @@ class TestCrystal:
a=a,b=b,c=c,
alpha=alpha,beta=beta,gamma=gamma)
assert np.allclose(points,c.lattice_points)
@pytest.mark.parametrize('crystal,length',
[(Crystal(lattice='cF'),[12,6]),
(Crystal(lattice='cI'),[12,12,24]),
(Crystal(lattice='hP'),[3,3,6,12,6]),
(Crystal(lattice='tI',c=1.2),[2,2,2,4,2,4,2,2,4,8,4,8,8])
])
def test_N_slip(self,crystal,length):
assert [len(s) for s in crystal.kinematics('slip')['direction']] == length
assert [len(s) for s in crystal.kinematics('slip')['plane']] == length
@pytest.mark.parametrize('crystal,length',
[(Crystal(lattice='cF'),[12]),
(Crystal(lattice='cI'),[12]),
(Crystal(lattice='hP'),[6,6,6,6]),
])
def test_N_twin(self,crystal,length):
assert [len(s) for s in crystal.kinematics('twin')['direction']] == length
assert [len(s) for s in crystal.kinematics('twin')['plane']] == length