Poro-Visco-Elastic Model
Available identifiers
mathematical model describing the coupled evolution of the mechanical deformation and the concentration of a species
The elastic stresses are given via the derivative of a free energy density function, the viscous stresses are of Kelvin-Voigt type and formulated in terms of a dissipation potental. The evolution of the concentration is given via a diffusion equation that is pulled-back to the reference configuration. The mobility law depends nonlinearly on the deformation gradient and the concentration itself.
The finite mechanical deformation is quasistatic and is formulated in the Lagrangian frame. The total stress consists of elastic and viscous stresses. Moreover, a second-order hyper-stress regularization is taken into account.
List of mathematical expressions with quantities
No mathematical expressions found.
List of computational tasks
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