On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation

This work describes a homogenization‐based multi‐scale procedure required for the computation of the material response of non‐linear microstructures undergoing small strains. Such procedures are important for computer modelling of heterogeneous materials when the length‐scale of heterogeneities is s...

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Bibliographic Details
Published in:	International journal for numerical methods in engineering Vol. 87; no. 1-5; pp. 149 - 170
Main Authors:	Perić, D., de Souza Neto, E. A., Feijóo, R. A., Partovi, M., Molina, A. J. Carneiro
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 08.07.2011 Wiley
Subjects:	Boundaries Computation Computer simulation Exact sciences and technology finite element Finite element method Fundamental areas of phenomenology (including applications) homogenization Inelasticity (thermoplasticity, viscoplasticity...) Mathematical analysis Mathematical models micro-to-macro transitions Microcavities multi-scale analysis Nonlinearity Physics Solid mechanics Structural and continuum mechanics Representative volume element Averaging method Non linear material Small dimension Constraint finite element multi-scale analysis Homogenization Boundary condition Modeling Axiomatic micro-to-macro transitions Global local method Finite element method Heterogeneous material Inelasticity Elastoplasticity Multiscale method Plasticity Variational calculus Non linear effect Microstructure
ISSN:	0029-5981, 1097-0207, 1097-0207
Online Access:	Get full text
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