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20152024
most citedFirst evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model

59 citations · 227 across the 17 of their papers we have counts for

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6 papers · 1 filter

math-ph2024★ 1 cited

On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models

Marco Valerio d'Agostino, Robert J. Martin, Peter Lewintan +3

The classification of all fourth-order anisotropic tensor classes for classical linear elasticity is well known. In this article, we review the related problem of explicitly comput…

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-ph2016

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…

math-ph2016★ 58 cited

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…

math-ph2016★ 35 cited

Complete band gaps including non-local effects occur only in the relaxed micromorphic model

Angela Madeo, Patrizio Neff, Marco Valerio d'Agostino +1

In this paper we substantiate the claim implicitly made in previous works that the relaxed micromorphic model is the only linear, isotropic, reversibly elastic, nonlocal generalize…

math-ph2016

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…