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math.CA2014★ 53 cited
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers
Patrizio Neff, Johannes Lankeit, Ionel-Dumitrel Ghiba +2
We consider a family of isotropic volumetric-isochoric decoupled strain energies $$ F\mapsto W_{\rm eH}(F):=\widehat{W}_{\rm eH}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e^{k\,\|{\…
math.CA2014
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
Patrizio Neff, Ionel-Dumitrel Ghiba, Johannes Lankeit
We investigate a family of isotropic volumetric-isochoric decoupled strain energies $$ F\mapsto W_{_{\rm eH}}(F):=\widehat{W}_{_{\rm eH}}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e…