helpful information on strain calculation
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@ -1203,7 +1203,7 @@ class Result:
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'label': f"epsilon_{t}^{m}({F['label']})",
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'meta': {
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'unit': F['meta']['unit'],
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'description': f'strain tensor of order {m} based on {side} stretch tensor '+\
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'description': f'Seth-Hill strain tensor of order {m} based on {side} stretch tensor '+\
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f"of {F['label']} ({F['meta']['description']})",
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'creator': 'add_strain'
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}
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@ -1212,10 +1212,11 @@ class Result:
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F: str = 'F',
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t: Literal['V', 'U'] = 'V',
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m: float = 0.0):
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"""
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Add strain tensor of a deformation gradient.
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r"""
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Add strain tensor (Seth-Hill family) of a deformation gradient.
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For details, see damask.mechanics.strain.
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By default, the logarithmic strain based on the
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left stretch tensor is added.
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Parameters
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----------
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@ -1249,6 +1250,18 @@ class Result:
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spatial/Eulerian strain measures (based on 'V') for elastic strains
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when calculating averages.
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The strain is defined as:
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.. math::
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\vb*{\epsilon}_V^{(m)} = \frac{1}{2m} (\vb{V}^{2m} - \vb{I}) \\\\
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\vb*{\epsilon}_U^{(m)} = \frac{1}{2m} (\vb{U}^{2m} - \vb{I})
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References
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----------
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| https://en.wikipedia.org/wiki/Finite_strain_theory
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| https://de.wikipedia.org/wiki/Verzerrungstensor
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"""
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self._add_generic_pointwise(self._add_strain,{'F':F},{'t':t,'m':m})
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