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
Study on dispersion and wave velocity in 2D elliptic granular crystals by a micromechanics-based micromorphic model
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DOI: 10.1177/16878132221119957
Abstract: This study considers two-dimensional elliptic granular crystals respectively with different aspect ratios. Using a micromechanics-based micromorphic model, macroscopic micromorphic constitutive modulus tensors of elliptic granular crystals are obtained. Two modes of Taylor expansion of relative… read more here.
Keywords: based micromorphic; micromechanics based; granular crystals; micromorphic model ... 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