Effective surface forces and non-coherent interfaces within the reduced relaxed micromorphic modeling of finite-size mechanical metamaterials

This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when studying the response of finite-size mechanical metamaterials at th...

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Published inJournal of the mechanics and physics of solids Vol. 186; p. 105558
Main Authors Perez Ramirez, Leonardo A., Erel-Demore, Félix, Rizzi, Gianluca, Voss, Jendrik, Madeo, Angela
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2024
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Summary:This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic elasticity. It is shown that such concepts are of paramount importance when studying the response of finite-size mechanical metamaterials at the homogenized macro-scale. The need of introducing interface forces is elucidated through numerical examples comparing reduced relaxed micromorphic simulations to their full-microstructured counterparts. These results provide a milestone for the understanding of metamaterials’ modeling at the homogenized scale and for the use of micromorphic-type models to achieve an accurate upscaling towards larger-scale metamaterials’ structures.
ISSN:0022-5096
DOI:10.1016/j.jmps.2024.105558