Theory Manual Version 3.4
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Subsection 5.8.3: Referentially Isotropic Diffusivity Up Section 5.8: Solute Diffusivity Section 5.9: Solute Solubility

5.8.4 Referentially Orthotropic Diffusivity

This material uses a strain-dependent diffusivity tensor that is orthotropic in the reference configuration and accommodates strain-induced anisotropy: where Here, is the Jacobian of the deformation, i.e. where is the deformation gradient. are second order tensor representing the spatial structural tensors describing the orthogonal planes of symmetry, given by where are orthonormal vectors normal to the planes of symmetry. Note that the permeability in the reference state () is given by .

Subsection 5.8.3: Referentially Isotropic Diffusivity Up Section 5.8: Solute Diffusivity Section 5.9: Solute Solubility