activity
20142024
most citedThe exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers

53 citations · 83 across the 11 of their papers we have counts for

collaborators

11 papers

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.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…

math.AP2022

A linear isotropic Cosserat shell model including terms up to . Existence and uniqueness

Ionel-Dumitrel Ghiba, Mircea Birsan, Patrizio Neff

In this paper we derive the linear elastic Cosserat shell model incorporating effects up to order in the shell thickness as a particular case of the recently introduce…

math-ph2016

A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model

Marco Valerio d'Agostino, Gabriele Barbagallo, Ionel-Dumitrel Ghiba +2

We consider the weighted isotropic relaxed micromorphic model and provide an in depth investigation of the characteristic dispersion curves when the constitutive parameters of the…

math.CA2016

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…