activity
20192026
most citedUnfolding engineering metamaterials design: relaxed micromorphic modeling of large-scale acoustic meta-structures

37 citations · 176 across the 21 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.AP2021

The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters

Marco Valerio d'Agostino, Gianluca Rizzi, Hassam Khan +3

We consider the classical Mindlin-Eringen linear micromorphic model with a new strictly weaker set of displacement boundary conditions. The new consistent coupling condition aims a…

physics.app-ph2021★ 16 cited

Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approach

Gianluca Rizzi, Patrizio Neff, Angela Madeo

In this paper, a coherent boundary value problem to model metamaterials' behavior based on the relaxed micromorphic model is established. This boundary value problem includes well-…

physics.class-ph2021

Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Hassam Khan, Ionel-Dumitrel Ghiba +2

We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identificat…

physics.app-ph2021★ 10 cited

Analytical model of the acoustic response of nanogranular films adhering on a substrate

Gianluca Rizzi, Giulio Benetti, Claudio Giannetti +2

A 1D mechanical model for nanogranular films, based on a structural interface, is here presented. The analytical dispersion relation for the frequency and lifetimes of the acoustic…

physics.app-ph2021

Boundary and interface conditions in the relaxed micromorphic model: exploring finite-size metastructures for elastic wave control

Gianluca Rizzi, Marco Valerio d'Agostino, Patrizio Neff +1

In this paper, we establish well-posed boundary and interface conditions for the relaxed micromorphic model that are able to unveil the scattering response of fully finite-size met…

math.CA2021

Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Geralf Hütter, Hassam Khan +3

We solve the St.Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphi…