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
Subjects
Enriched continuum mechanics
Finite-size metamaterials
Imperfect interfaces
Microstructures
Reduced relaxed micromorphic model
Finite-size metamaterials
Reduced relaxed micromorphic model
Imperfect interfaces
Microstructures
Enriched continuum mechanics
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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.
AbstractList 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.
ArticleNumber 105558
Author Rizzi, Gianluca
Erel-Demore, Félix
Perez Ramirez, Leonardo A.
Madeo, Angela
Voss, Jendrik
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  organization: Faculty of Architecture and Civil Engineering, TU Dortmund, August-Schmidt-Str. 8, Dortmund, Germany
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  givenname: Félix
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  givenname: Gianluca
  orcidid: 0000-0002-5967-5403
  surname: Rizzi
  fullname: Rizzi, Gianluca
  organization: Faculty of Architecture and Civil Engineering, TU Dortmund, August-Schmidt-Str. 8, Dortmund, Germany
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  givenname: Jendrik
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  surname: Voss
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  givenname: Angela
  orcidid: 0000-0003-1940-9853
  surname: Madeo
  fullname: Madeo, Angela
  organization: Head of Chair of Continuum Mechanics, Faculty of Architecture and Civil Engineering, TU Dortmund, August-Schmidt-Str. 8, Dortmund, Germany
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Keywords Finite-size metamaterials
Reduced relaxed micromorphic model
Imperfect interfaces
Microstructures
Enriched continuum mechanics
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Snippet This paper introduces for the first time the concepts of non-coherent interfaces and microstructure-driven interface forces in the framework of micromorphic...
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elsevier
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StartPage 105558
SubjectTerms Enriched continuum mechanics
Finite-size metamaterials
Imperfect interfaces
Microstructures
Reduced relaxed micromorphic model
Title Effective surface forces and non-coherent interfaces within the reduced relaxed micromorphic modeling of finite-size mechanical metamaterials
URI https://dx.doi.org/10.1016/j.jmps.2024.105558
Volume 186
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