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arXiv 1809.04791math.APmath-phmath.MP
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松弛微态模型中的非标准微惯性项:动力学的适定性

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

Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d'Agostino, Patrizio Neff

摘要:

我们研究的存在性的解决方案所产生的建模的弹性材料使用广义理论的连续。鉴于超材料物理的一些证据,我们集中精力在最近的两个非标准松弛微观模型,包括新的微惯性条款。需要这些新颖的微惯性项来更好地捕获带隙响应。存在性证明是基于Banach不动点定理。

英文摘要:

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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