281 citations · 2.1k across the 125 of their papers we have counts for
6 papers · 2 filters
On the sum of squared logarithms inequality and related inequalities
Fozi M. Dannan, Patrizio Neff, Christian Thiel
We consider the sum of squared logarithms inequality and investigate possible connections with the theory of majorization. We also discuss alternative sufficient conditions on two…
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
Robert Martin, Patrizio Neff
This note contains some observations on primary matrix functions and different notions of monotonicity with relevance towards constitutive relations in nonlinear elasticity. Focuss…
Loss of ellipticity for non-coaxial plastic deformations in additive logarithmic finite strain plasticity
Patrizio Neff, Ionel-Dumitrel Ghiba
In this paper we consider the additive logarithmic finite strain plasticity formulation from the view point of loss of ellipticity in elastic unloading. We prove that even if an el…
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 $$ F\mapsto W_{\rm eH}(F):=\widehat{W}_{\rm eH}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e^{k\,\|{\…
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
Patrizio Neff, Ionel-Dumitrel Ghiba, Johannes Lankeit
We investigate a family of isotropic volumetric-isochoric decoupled strain energies $$ F\mapsto W_{_{\rm eH}}(F):=\widehat{W}_{_{\rm eH}}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e…