Poro-Visco-Elastic Quasistatic Equation

Available identifiers

MaRDI QIDQ6674249

equation using linear momentum without inertia for mechanical deformation

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

$H$ symbol represents Hyperstress Potential

$\Phi$ symbol represents Free Energy Density

$\chi$ symbol represents Mechanical Deformation

$\zeta$ symbol represents Viscous Dissipation Potential

$c$ symbol represents Concentration

$f$ symbol represents External Force Density

$t$ symbol represents Time

$x$ symbol represents Spatial Variable

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