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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… Click to show full 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 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.
Keywords:
relaxed micromorphic;
terms relaxed;
micromorphic model;
micro inertia;
nonstandard micro;
inertia terms
Journal Title: Mathematics and Mechanics of Solids
Year Published: 2019
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Journal Title: Mathematics and Mechanics of Solids
Year Published: 2019
Link to full text (if available)
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recommendations!