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arXiv · 1809.04791

Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics

Sebastian Owczarek·Ionel-Dumitrel Ghiba·Marco-Valerio d'Agostino·Patrizio Neff
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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 meta-materials we focus our effort on two recent nonstandard relaxed micromorphic models including novel micro-inertia terms. These novel micro-inertia terms are needed to better capture the band-gap response. The existence proof is based on the Banach fixed point theorem.

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Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino, Patrizio Neff. 2018-09-13. Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics. https://arxiv.org/abs/1809.04791

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