A polyconvex extension of the logarithmic Hencky strain energy

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff

Adapting a method introduced by Ball, Muite, Schryvers and Tirry, we construct a polyconvex isotropic energy function $W:\mathrm{G}{\mathrm{L}}^{+}(n)\to \mathbb{R}$ which is equal to…