Homogenization of a weakly randomly perturbed periodic material

DOI10.1016/j.crma.2010.03.001zbMath1193.35008OpenAlexW2085116828MaRDI QIDQ974019

Claude Le Bris, Arnaud Anantharaman

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.03.001

zbMATH Keywords

first-order homogenized behaviour

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Tensor-Based Numerical Method for Stochastic Homogenization ⋮ Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions ⋮ A reduced basis approach for some weakly stochastic multiscale problems ⋮ Analytical representation and efficient computation of the effective conductivity of two‐phase composite materials ⋮ Some variance reduction methods for numerical stochastic homogenization ⋮ Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs ⋮ First-order expansion of homogenized coefficients under Bernoulli perturbations ⋮ MATHEMATICAL MODELING OF POINT DEFECTS IN MATERIALS SCIENCE ⋮ A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization

Cites Work

• Three-dimensional stochastic analysis using a perturbation-based homogenization method for elastic properties of composite material considering microscopic uncertainty
• Numerical approximation of a class of problems in stochastic homogenization
• Approximations of effective coefficients in stochastic homogenization
• Damage analysis of fiber composites. I: Statistical analysis of fiber scale
• Stochastic homogenization and random lattices
• A Numerical Approach Related to Defect-Type Theories for Some Weakly Random Problems in Homogenization
• Elements of Mathematical Foundations for Numerical Approaches for Weakly Random Homogenization Problems
• Unnamed Item

This page was built for publication: Homogenization of a weakly randomly perturbed periodic material