Poro-Visco-Elastic (Neumann Boundary)

Available identifiers

MaRDI QIDQ6674248

Neumann boundary condition for mechanical deformation

Defining Formula: $({\partial }_{\mathrm{\nabla }\chi }\Phi (x,\mathrm{\nabla }\chi (t,x),c(t,x))+{\partial }_{\mathrm{\nabla }\dot{\chi }}\zeta (x,\mathrm{\nabla }\dot{\chi }(t,x),\mathrm{\nabla }\chi (t,x),c(t,x)))\nu -{\mathrm{\nabla }}_s\cdot ({\partial }_{D^2\chi }H(x,D^2\chi (t,x))\nu )=g(t,x)$

$\Phi$ symbol represents Free Energy Density

$\chi$ symbol represents Mechanical Deformation

$\nu$ symbol represents Unit Normal Vector

$\zeta$ symbol represents Viscous Dissipation Potential

$c$ symbol represents Concentration

$g$ symbol represents Surface Force Density

$x$ symbol represents Spatial Variable

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