Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells
Abstract: The increasing use of heterogeneous materials like composites in the industrial praxis has made the finite element (FE) simulation using homogenization techniques a well‐accepted and often even inevitable tool. For a reliable simulation, both discretization and model error need to be controlled. Aiming at a user‐defined target functional called quantity of interest, error estimators are derived using duality arguments. Model adaptivity is established on the macro scale, towards an economic model distribution that exploits the advantages of mean‐field and computational homogenization methods based on unit cells of increasing size. This is achieved by using the same philosophy of adaptive finite element method (FEM) for an economic mesh, which applies simultaneously to model adaptivity. A numerical example shows the effectiveness of the adaptive approach.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)
- Creator
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Ju, Xiaozhe
Mahnken, Rolf
- DOI
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10.1002/pamm.201900177
- URN
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urn:nbn:de:101:1-2022072206533429565192
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:29 AM CEST
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Associated
- Ju, Xiaozhe
- Mahnken, Rolf
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