most citedGreen's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple

11 citations · 16 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2024★ 2 cited

Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain

Patrizio Neff, Sebastian Holthausen, Marco Valerio d'Agostino +4

We combine the rate-formulation for the objective, corotational Zaremba-Jaumann rate \begin{align} \frac{{\rm D}^{\rm ZJ}}{{\rm D} t} [σ] = \mathbb{H}^{\rm ZJ}(σ).D, \qquad D = {\r…

math.AP2024★ 2 cited

A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain

Marco Valerio d'Agostino, Sebastian Holthausen, Davide Bernardini +4

Following Hill and Leblond, the aim of our work is to show, for isotropic nonlinear elasticity, a relation between the corotational Zaremba-Jaumann objective derivative of the Cauc…

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.AP2023★ 11 cited

Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple

Panos Gourgiotis, Gianluca Rizzi, Peter Lewintan +4

We derive the Green's functions (concentrated force and couple in an infinite space) for the isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model parti…

physics.app-ph2023

From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials

Gianluca Rizzi, Marco Valerio d'Agostino, Jendrik Voss +3

Mechanical metamaterials have recently gathered increasing attention for their uncommon mechanical responses enabling unprecedented applications for elastic wave control. To model…