281 citations · 921 across the 53 of their papers we have counts for
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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…
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…
A review on wave propagation modeling in band-gap metamaterials via enriched continuum models
Angela Madeo, Patrizio Neff, Gabriele Barbagallo +2
In the present contribution we show that the relaxed micromorphic model is the only non-local continuum model which is able to account for the description of band-gaps in metamater…
Real wave propagation in the isotropic relaxed micromorphic model
Patrizio Neff, Angela Madeo, Gabriele Barbagallo +3
For the recently introduced isotropic relaxed micromorphic generalized continuum model, we show that under the assumption of positive definite energy, planar harmonic waves have re…
Reflection and transmission of elastic waves at interfaces embedded in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model
Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba +1
In this paper we derive, by means of a suitable least action principle, the duality jump conditions to be imposed at surfaces of discontinuity of the material properties in non-dis…
Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo, Angela Madeo, Marco Valerio d'Agostino +3
In this paper, we study the anisotropy classes of the fourth order elastic tensors of the relaxed micromorphic model, also introducing their second order counterpart by using a Voi…