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On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation / D Perić, E. A. de Souza Neto, R. A Feijóo, M Partovi, A. J. Carneiro Molina, Djordje Peric, Eduardo de Souza Neto De Souza Neto
International Journal for Numerical Methods in Engineering, Volume: 87, Issue: 1-5, Pages: 149 - 170
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DOI (Published version): 10.1002/nme.3014
On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation
|Published in:||International Journal for Numerical Methods in Engineering|
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This article introduces for the first time a unified variational basis underpinning multi-scale analysis of generic non-linear heterogeneous materials. The theoretical and algorithmic framework presented in this article will have a major impact on the finite element based multi-scale analysis with a wide range of applications in science and engineering. The research is a result of collaboration with Professor Feijoo, based in National Laboratory for Computational Mechanics, Brazil. The research was partially funded by the EPSRC Grant (EP/D500281), and the main results were presented by Prof Peric in Plenary Lecture at the 10th International Conference on Computational Plasticity, Barcelona.
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