WIAS Preprint No. 2865, (2021)
Stochastic homogenization on perforated domains II -- Application to nonlinear elasticity models
Authors
- Heida, Martin
ORCID: 0000-0002-7242-8175
2020 Mathematics Subject Classification
- 54E45 60D05 74Qxx 76M50 80M40
Keywords
- Homogenization, stochastic geometry, elasticity
DOI
Abstract
Based on a recent work that exposed the lack of uniformly bounded W1,p → W1,p extension operators on randomly perforated domains, we study stochastic homogenization of nonlinear elasticity on such structures using instead the extension operators constructed in [11]. 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 Ω, e.g. abstract Gauss theorems.
Appeared in
- ZAMM Z. Angew. Math. Mech., published online on 26.09.2022, DOI 10.1002/zamm.202100407 .
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