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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Vermelding in encyclopedie / woordenboek › Academic › peer review

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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.

Originele taal-2	Engels
Titel	Encyclopedia of Computational Mechanics Second Edition
Redacteuren	Erwin Stein, René de Borst, Thomas Hughes
Plaats van productie	Hoboken
Uitgeverij	Wiley
Pagina's	1-34
Aantal pagina's	34
ISBN van elektronische versie	978-1-119-00379-3
DOI's	https://doi.org/10.1002/9781119176817.ecm2107
Status	Gepubliceerd - 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.",

author = "M.G.D. Geers and V. Kouznetsova and Karel Matou{\v s} and J. Yvonnet",

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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. uitgave / Erwin Stein; René de Borst; Thomas Hughes. Hoboken: Wiley, 2017. blz. 1-34.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Vermelding in encyclopedie / woordenboek › Academic › peer review

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Homogenization methods and multiscale modeling: Nonlinear problems

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