281 citations · 921 across the 53 of their papers we have counts for
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The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized isotropic finite strain plasticity
Patrizio Neff, Ionel-Dumitrel Ghiba
We investigate an immediate application in finite strain multiplicative plasticity of the family of isotropic volumetric-isochoric decoupled strain energies \begin{align*} F\mapsto…
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…
Comparison of isotropic elasto-plastic models for the plastic metric tensor
Patrizio Neff, Ionel-Dumitrel Ghiba
We discuss in detail existing isotropic elasto-plastic models based on 6-dimensional flow rules for the positive definite plastic metric tensor and highlight thei…
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 $$ F\mapsto W_{\rm eH}(F):=\widehat{W}_{\rm eH}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e^{k\,\|{\…
Band gaps in the relaxed linear micromorphic continuum
A. Madeo, P. Neff, I. -D. Ghiba +2
In this note we show that the relaxed linear micromorphic model recently proposed by the authors can be suitably used to describe the presence of band-gaps in metamaterials with mi…
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations
Patrizio Neff, Ionel-Dumitrel Ghiba, Markus Lazar +1
In this paper we consider the equilibrium problem in the relaxed linear model of micromorphic elastic materials. The basic kinematical fields of this extended continuum model are t…
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
Patrizio Neff, Ionel-Dumitrel Ghiba, Johannes Lankeit
We investigate a family of isotropic volumetric-isochoric decoupled strain energies $$ F\mapsto W_{_{\rm eH}}(F):=\widehat{W}_{_{\rm eH}}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e…