53 citations · 127 across the 20 of their papers we have counts for
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Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity
Ionel-Dumitrel Ghiba, Robert J. Martin, Patrizio Neff
We study convexity properties of energy functions in plane nonlinear elasticity of incompressible materials and show that rank-one convexity of an objective and isotropic elastic e…
The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity
Ionel-Dumitrel Ghiba, Patrizio Neff, Miroslav Silhavy
In this paper we improve the result about the polyconvexity of the energies from the family of isotropic volumetric-isochoric decoupled strain exponentiated Hencky energies defined…
On the generalized sum of squared logarithms inequality
Waldemar Pompe, Patrizio Neff
Assume . Consider the elementary symmetric polynomials and denote by the elementary symmetric polynomials in reverse or…
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\,\|{\…