activity
20122025
most citedThe exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers

53 citations · 127 across the 26 of their papers we have counts for

collaborators
Showing math.APShow all

14 papers · 1 filter

math.AP2024

The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem

Esmaeal Ghavanloo, Patrizio Neff

In this paper, we consider the isotropic relaxed micromorphic model in polar coordinates and use this representation to solve explicitly an elastostatic axisymmetric extension prob…

math.AP20241 cited

The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity

Patrizio Neff, Nina J. Husemann, Aurélien S. Nguetcho Tchakoutio +2

In isotropic nonlinear elasticity the corotational stability postulate (CSP) is the requirement that \begin{equation*} \langle\frac{\mathrm{D}^{\circ}}{\mathrm{D} t}[σ] , D \rangle…

math.AP2024

The Biot stress -- right stretch relation for the compressible Neo-Hooke-Ciarlet-Geymonat model and Rivlin's cube problem

Ionel-Dumitrel Ghiba, Franz Gmeineder, Sebastian Holthausen +2

The aim of the paper is to recall the importance of the study of invertibility and monotonicity of stress-strain relations for investigating the non-uniqueness and bifurcation of h…

math.AP2024

Global regularity for a physically nonlinear version of the relaxed micromorphic model on Lipschitz domains

Dorothee Knees, Sebastian Owczarek, Patrizio Neff

In this paper, we investigate the global higher regularity properties of weak solutions for a linear elliptic system coupled with a nonlinear Maxwell-type system defined on Lipschi…

math.AP2023

Rayleigh waves in isotropic elastic materials with micro-voids

Emilian Bulgariu, Ionel-Dumitrel Ghiba, Hassam Khan +1

In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the prop…

math.AP2023

Explicit formula for the Gamma-convergence homogenized quadratic curvature energy in isotropic Cosserat shell models

Maryam Mohammadi Saem, Emilian Bulgariu, Ionel-Dumitrel Ghiba +1

We show how to explicitly compute the homogenized curvature energy appearing in the isotropic -limit for flat and for curved initial configuration Cosserat shell models, when a…