Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua
Sign Up to like & getrecommendations! Published in 2021 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-021-00984-7
Abstract: We consider the cylindrical bending problem for an infinite plate as modeled with a family of generalized continuum models, including the micromorphic approach. The models allow to describe length scale effects in the sense that… read more here.
Keywords: relaxed micromorphic; bending problem; continuum; micromorphic continuum ... See more keywords
Real wave propagation in the isotropic-relaxed micromorphic model
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2016.0790
Abstract: For the recently introduced isotropic-relaxed micromorphic generalized continuum model, we show that, under the assumption of positive-definite energy, planar harmonic waves have real velocity. We also obtain a necessary and sufficient condition for real wave… read more here.
Keywords: relaxed micromorphic; elasticity; isotropic relaxed; model ... See more keywords
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/1081286519838311
Abstract: We study the existence of solutions arising from the modelling of elastic materials using generalized theories of continua. In view of some evidence from physics of metamaterials, we focus our effort on two recent nonstandard… read more here.
Keywords: relaxed micromorphic; terms relaxed; micromorphic model; micro inertia ... See more keywords
Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model
Sign Up to like & getrecommendations! Published in 2022 at "Computational Mechanics"
DOI: 10.48550/arxiv.2210.17117
Abstract: In this paper we model the size-effects of metamaterial beams under bending with the aid of the relaxed micromorphic continuum. We analyze first the size-dependent bending stiffness of heterogeneous fully discretized metamaterial beams subjected to… read more here.
Keywords: elasticity; micromorphic model; relaxed micromorphic; model ... See more keywords