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

L. A. Perez Ramirez; F. Erel-Demore; G. Rizzi; J. Voss; A. Madeo

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arXiv · 2401.01744

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

L. A. Perez Ramirez·F. Erel-Demore·G. Rizzi·J. Voss·A. Madeo

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Abstract

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.

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L. A. Perez Ramirez, F. Erel-Demore, G. Rizzi, J. Voss, A. Madeo. 2024-01-03. Effective surface forces and non-coherent interfaces within the reduced relaxed micromorphic modeling of finite-size mechanical metamaterials. https://arxiv.org/abs/2401.01744

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