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Non orthotropic anisotropy #566

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merged 3 commits into from
Feb 11, 2024

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This PR modifies the functions in AnisotropicMineral for non-orthotropic materials. Specifically, in non-orthotropic materials, changes in the eigenvectors of deformation mean that the second order compressibility tensor $\boldsymbol{\beta}_T \neq \partial \ln(\boldsymbol{F}) / \partial P|T$, and instead $\boldsymbol{\beta}_T = 0.5( \boldsymbol{L}_P + \boldsymbol{L}^T_P)$, where $\boldsymbol{L}_P = (\partial \boldsymbol{F} / \partial P|T) \boldsymbol{F}^{-1}$.

This has a negligible effect on even non-orthotropic equations of state, but for the avoidance of confusion the correct expressions are implemented here.

@bobmyhill bobmyhill merged commit cc5e857 into geodynamics:master Feb 11, 2024
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@bobmyhill bobmyhill deleted the non_orthotropic_anisotropy branch February 11, 2024 19:37
@bobmyhill bobmyhill added this to In progress in BurnMan 2 Mar 24, 2024
@bobmyhill bobmyhill moved this from In progress to Done in BurnMan 2 Mar 24, 2024
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