Homogenization methods and multiscale modeling: Nonlinear problems

M.G.D. Geers; V. Kouznetsova; Karel Matouš; J. Yvonnet

doi:10.1002/9781119176817.ecm2107

Homogenization methods and multiscale modeling: Nonlinear problems

M.G.D. Geers, V. Kouznetsova, Karel Matouš, J. Yvonnet

Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Academic › peer-review

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Abstract

This article focuses on computational multiscale methods for the mechanical response of nonlinear heterogeneous materials. After a short historical note, a brief overview is given of some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.

Original language	English
Title of host publication	Encyclopedia of Computational Mechanics Second Edition
Editors	Erwin Stein, René de Borst, Thomas Hughes
Place of Publication	Hoboken
Publisher	Wiley
Pages	1-34
Number of pages	34
ISBN (Electronic)	978-1-119-00379-3
DOIs	https://doi.org/10.1002/9781119176817.ecm2107
Publication status	Published - 2017

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10.1002/9781119176817.ecm2107

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abstract = "This article focuses on computational multiscale methods for the mechanical response of nonlinear heterogeneous materials. After a short historical note, a brief overview is given of some recent activities in the field, with a particular focus on nonlinear homogenization methods. The two‐scale nonlinear computational homogenization (CH) scheme for mechanics is presented, along with details on representative unit cell aspects and statistics. Model performance is advocated through a decoupled implementation and multiscale schemes based on the nonuniform transformation field analysis. High‐performance parallel multiscale implementations of the CH scheme are addressed in more detail.",

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Homogenization methods and multiscale modeling: Nonlinear problems. / Geers, M.G.D.; Kouznetsova, V.; Matouš, Karel et al.
Encyclopedia of Computational Mechanics Second Edition. ed. / Erwin Stein; René de Borst; Thomas Hughes. Hoboken: Wiley, 2017. p. 1-34.

Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Academic › peer-review

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Homogenization methods and multiscale modeling: Nonlinear problems

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