compatible with material.yaml
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@ -854,14 +854,15 @@ class Orientation(Rotation,Crystal):
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@ np.broadcast_to(v,self.shape+v.shape)
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def Schmid(self,mode):
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def Schmid(self,*,N_slip=None,N_twin=None):
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u"""
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Calculate Schmid matrix P = d ⨂ n in the lab frame for given lattice shear kinematics.
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Calculate Schmid matrix P = d ⨂ n in the lab frame for selected deformation systems.
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Parameters
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----------
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mode : {'slip', 'twin'}
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Deformation mode.
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N_slip|N_twin : iterable of int
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Number of deformation systems per deformation system.
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Use '*'. to select all.
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Returns
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-------
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@ -876,14 +877,22 @@ class Orientation(Rotation,Crystal):
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>>> import damask
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>>> import numpy as np
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>>> np.set_printoptions(3,suppress=True,floatmode='fixed')
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>>> damask.Orientation.from_Eulers(phi=[0,45,0],degrees=True,lattice='cF').Schmid('slip')[0]
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>>> O = damask.Orientation.from_Euler_angles(phi=[0,45,0],degrees=True,lattice='cF')
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>>> O.Schmid(N_slip=[1])
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array([[ 0.000, 0.000, 0.000],
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[ 0.577, -0.000, 0.816],
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[ 0.000, 0.000, 0.000]])
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"""
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d = self.to_frame(uvw=np.vstack(self.kinematics(mode)['direction']))
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p = self.to_frame(hkl=np.vstack(self.kinematics(mode)['plane']))
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if (N_slip is not None) ^ (N_twin is None):
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raise KeyError('Specify either "N_slip" or "N_twin"')
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kinematics = self.kinematics('slip' if N_twin is None else 'twin')
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active = N_slip if N_twin is None else N_twin
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if active == '*': active = [len(a) for a in kinematics]
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d = self.to_frame(uvw=np.vstack([kinematics['direction'][i][:n] for i,n in enumerate(active)]))
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p = self.to_frame(hkl=np.vstack([kinematics['plane'][i][:n] for i,n in enumerate(active)]))
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P = np.einsum('...i,...j',d/np.linalg.norm(d,axis=1,keepdims=True),
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p/np.linalg.norm(p,axis=1,keepdims=True))
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@ -440,10 +440,10 @@ class TestOrientation:
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@pytest.mark.parametrize('lattice',['hP','cI','cF']) #tI not included yet
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def test_Schmid(self,update,ref_path,lattice):
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L = Orientation(lattice=lattice)
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O = Orientation(lattice=lattice) # noqa
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for mode in ['slip','twin']:
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reference = ref_path/f'{lattice}_{mode}.txt'
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P = L.Schmid(mode)
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P = O.Schmid(N_slip='*') if mode == 'slip' else O.Schmid(N_twin='*')
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if update:
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table = Table(P.reshape(-1,9),{'Schmid':(3,3,)})
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table.save(reference)
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@ -453,7 +453,6 @@ class TestOrientation:
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def test_Schmid_vectorize(self,lattice):
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O = Orientation.from_random(shape=4,lattice=lattice) # noqa
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for mode in ['slip','twin']:
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P = O.Schmid(mode)
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print(P.shape)
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P = O.Schmid(N_slip='*') if mode == 'slip' else O.Schmid(N_twin='*')
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for i in range(4):
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assert np.allclose(Orientation(rotation=O[i],lattice=lattice).Schmid(mode),P[:,i])
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