67 citations · 67 across the 9 of their papers we have counts for
9 papers
Polyconvexity for Cosserat nonlinear elasticity and nonlinear couple-stress theory
Diana Ciotir, Ionel-Dumitrel Ghiba, Patrizio Neff
We study a class of nonlinear elastic energies whose constitutive structure is naturally expressed in terms of a stretch variable but is not directly covered by the standard polyco…
Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs
Ionel-Dumitrel Ghiba, Robert Martin, Marius Apetrii +1
As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of int…
Propagation of Love waves in linear elastic isotropic Cosserat materials
Marius Apetrii, Emilian Bulgariu, Ionel-Dumitrel Ghiba +2
We investigate the propagation of Love waves in an isotropic half-space modelled as a linear {elastic isotropic} Cosserat material. To this aim, we show that a method commonly used…
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…
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…
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…