Homogeneous hyperelastic material (source code)

= Homogeneous hyperelastic material
{title2=$W(F)$}

A <hyperelastic material> is homogeneous when its <strain energy density> $W(F)$ has no explicit dependence on the <reference configuration> position. Its first <Piola-Kirchhoff stress tensor> is $T=DW(F)$. Homogeneity of the material does not require the <deformation gradient> to be spatially constant.