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Fix Saint-Venant Kirchhoff implementation #677

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FabienPean-Virtonomy
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@FabienPean-Virtonomy FabienPean-Virtonomy commented Oct 16, 2024

StressCauchy is inherited from LinearElasticSolid which is an incorrect formula.

This PR fixes that and restores $\mathbf{F}\mathbf{S}\mathbf{F}^T/J = \boldsymbol\sigma$ invariant

Implementation follows https://help.febio.org/Manuals/FEBioTheory/FEBio_tm_3-0-Subsection-5.2.1.html

@FabienPean-Virtonomy
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The CI output and the issue ought to be discussed in the weekly meeting,

The following tests FAILED:

1205   52 - test_2d_oscillating_beam_cauchy (Failed)
1206   55 - test_2d_plate (Failed)
1207   60 - test_2d_shell (Subprocess aborted)
1208  122 - test_3d_dambreak_elastic_plate_shell (Failed)
1209  156 - sphere_compression.half_sphere (Failed)
1210  157 - test_3d_shell_stability_half_sphere (Failed)
1211  158 - test_3d_slender_beam (Failed)
1212  167 - test_3d_thin_plate (Failed)

@Xiangyu-Hu
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@DongWuTUM Could you also have check? Thanks.

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