Stochastic homogenization on perforated domains II – Application to nonlinear elasticity models
dc.bibliographicCitation.firstPage | e202100407 | |
dc.bibliographicCitation.issue | 12 | |
dc.bibliographicCitation.journalTitle | Zeitschrift für angewandte Mathematik und Mechanik : ZAMM = Journal of applied mathematics and mechanics | eng |
dc.bibliographicCitation.volume | 102 | |
dc.contributor.author | Heida, Martin | |
dc.date.accessioned | 2023-03-01T09:28:12Z | |
dc.date.available | 2023-03-01T09:28:12Z | |
dc.date.issued | 2022 | |
dc.description.abstract | Based on a recent work that exposed the lack of uniformly bounded (Formula presented.) extension operators on randomly perforated domains, we study stochastic homogenization of nonlinear p-elasticity, (Formula presented.), on such structures using instead the extension operators constructed in former works. We thereby introduce two-scale convergence methods on such random domains under the intrinsic loss of regularity and prove some generally useful calculus theorems on the probability space, for example, abstract Gauss theorems. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/11624 | |
dc.identifier.uri | http://dx.doi.org/10.34657/10657 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Wiley-VCH | |
dc.relation.doi | https://doi.org/10.1002/zamm.202100407 | |
dc.relation.essn | 1521-4001 | |
dc.relation.issn | 0044-2267 | |
dc.rights.license | CC BY-NC-ND 4.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject.ddc | 510 | |
dc.subject.ddc | 530 | |
dc.subject.other | Elasticity modeling | eng |
dc.subject.other | Extension operators | eng |
dc.subject.other | Intrinsic loss | eng |
dc.subject.other | Nonlinear elasticity | eng |
dc.subject.other | Perforated domain | eng |
dc.subject.other | Probability spaces | eng |
dc.subject.other | Random domains | eng |
dc.subject.other | Stochastic homogenization | eng |
dc.subject.other | Two scale convergence | eng |
dc.subject.other | Uniformly bounded | eng |
dc.title | Stochastic homogenization on perforated domains II – Application to nonlinear elasticity models | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | ger |
wgl.subject | Physik | ger |
wgl.type | Zeitschriftenartikel | ger |
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