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Archive of Applied Mechanics

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17-02-2024 | Original

A three-dimensional computational multiscale micromorphic analysis of porous materials in linear elasticity

Authors: Xiaozhe Ju, Kang Gao, Junxiang Huang, Hongshi Ruan, Haihui Chen, Yangjian Xu, Lihua Liang

Published in: Archive of Applied Mechanics | Issue 4/2024

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Abstract

We present an extension of a multiscale micromorphic theory to three-dimensional problems for porous materials, where a clear scale separation is not given. Following the multiscale micromorphic framework of Biswas and Poh (J Mech Phys Solids 102:187–208, 2017), macroscopic governing equations of a micromorphic continuum are derived from a classical continuum on the microscale by means of a kinematic field decomposition. The macro–microenergy equivalence is guaranteed via the Hill–Mandel condition. For linear elasticity problems, generalized elasticity tensors are determined via several RVE computations once and for all, avoiding concurrent RVE computations for an online structural analysis. A three-dimensional implementation is revealed in detail. A comparative study with direct numerical simulations and first-order multiscale computations shows that the computational multiscale micromorphic method has sufficient accuracy and computational efficiency, thus providing a powerful tool for design and practical engineering applications of porous materials.

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Title: A three-dimensional computational multiscale micromorphic analysis of porous materials in linear elasticity
Authors: Xiaozhe Ju
Kang Gao
Junxiang Huang
Hongshi Ruan
Haihui Chen
Yangjian Xu
Lihua Liang
Publication date: 17-02-2024
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 4/2024
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-024-02549-x

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