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diff-const-ortho

Module: solute

Category: materialprop

Type string: "diff-const-ortho"

Parameters

Name Description Default Units
free_diff free diffusivity 1 [L^2/t]
diff diffusivity [L^2/t]

Description

The material type for constant orthotropic diffusivity materials is diff-const-ortho.

When the permeability is orhotropic,

\[ \mathbf{d}=\sum\limits_{a=1}^{3}d^{a}\mathbf{V}_{a}\otimes\mathbf{V}_{a} \]

where \(\mathbf{V}_{a}\) are orthonormal vectors normal to the planes of symmetry. For this material model, \(d^{a}\)'s are constant. Therefore this model should be used only when strains are small. Note that the user must specify \(d^{a}\leqslant d_{0}\), since a solute cannot diffuse through the biphasic-solute mixture faster than in free solution.

Example:

<diffusivity name="Permeability" type="diff-const-ortho">
  <free_diff>0.005</free_diff >
  <diff>0.002,0.001,0.003</diff>
</diffusivity>