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proper indication of transpose; polish

This commit is contained in:
Philip Eisenlohr 2023-02-16 15:12:10 -05:00
parent eefa2c29a2
commit 4485e1045c
1 changed files with 6 additions and 6 deletions
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12
python/damask/mechanics.py
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@ -31,7 +31,7 @@ def deformation_Cauchy_Green_left(F: _np.ndarray) -> _np.ndarray:
----- -----
.. math:: .. math::
\vb{B} = \vb{F} \vb{F}^{T} \vb{B} = \vb{F} \vb{F}^\text{T}
""" """
return _np.matmul(F,_tensor.transpose(F)) return _np.matmul(F,_tensor.transpose(F))
@ -55,7 +55,7 @@ def deformation_Cauchy_Green_right(F: _np.ndarray) -> _np.ndarray:
----- -----
.. math:: .. math::
\vb{C} = \vb{F}^{T} \vb{F} \vb{C} = \vb{F}^\text{T} \vb{F}
""" """
return _np.matmul(_tensor.transpose(F),F) return _np.matmul(_tensor.transpose(F),F)
@ -83,7 +83,7 @@ def equivalent_strain_Mises(epsilon: _np.ndarray) -> _np.ndarray:
\epsilon_\text{vM} = \sqrt{2/3 \epsilon^\prime_{ij} \epsilon^\prime_{ij}} \epsilon_\text{vM} = \sqrt{2/3 \epsilon^\prime_{ij} \epsilon^\prime_{ij}}
where :math:`\vb{\epsilon}^\prime` is the deviatoric part where :math:`\vb*{\epsilon}^\prime` is the deviatoric part
of the strain tensor. of the strain tensor.
""" """
@ -112,8 +112,8 @@ def equivalent_stress_Mises(sigma: _np.ndarray) -> _np.ndarray:
\sigma_\text{vM} = \sqrt{3/2 \sigma^\prime_{ij} \sigma^\prime_{ij}} \sigma_\text{vM} = \sqrt{3/2 \sigma^\prime_{ij} \sigma^\prime_{ij}}
where :math:`\vb{\sigma}^\prime` is the deviatoric part where :math:`\vb*{\sigma}^\prime` is the deviatoric part
of stress tensor. of the stress tensor.
""" """
return _equivalent_Mises(sigma,3.0/2.0) return _equivalent_Mises(sigma,3.0/2.0)
@ -160,7 +160,7 @@ def rotation(T: _np.ndarray) -> _rotation.Rotation:
\vb{R} = \vb{T} \vb{U}^{-1} = \vb{V}^{-1} \vb{T} \vb{R} = \vb{T} \vb{U}^{-1} = \vb{V}^{-1} \vb{T}
where :math:`\vb{V}` and :math:`\vb{U}` are left where :math:`\vb{V}` and :math:`\vb{U}` are the left
and right stretch tensor, respectively. and right stretch tensor, respectively.
""" """