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20102024
most citedA unifying perspective: the relaxed linear micromorphic continuum

281 citations · 1.1k across the 45 of their papers we have counts for

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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…

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…

math.AP2021

Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects

Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo +1

We discuss the propagation of surface waves in an isotropic half space modelled with the linear Cosserat theory of isotropic elastic materials. To this aim we use a method based on…

math.AP2015

The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless

Ingo Münch, Patrizio Neff, Angela Madeo +1

We show that the reasoning in favor of a symmetric couple stress tensor in Yang et al.'s introduction of the modified couple stress theory contains a gap, but we present a reasonab…

math.AP2013

The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics

Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo +2

We study well-posedness for the relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-disl…