Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains

DOI10.1515/acv-2022-0052zbMath1542.49014MaRDI QIDQ6566010

Caterina Ida Zeppieri, Lucia Scardia, Xavier Pellet

Publication date: 3 July 2024

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

porous materialsbrittle fractureNeumann boundary conditionshomogenisationfree-discontinuity problemsrandomly perforated domains\( \Gamma \)-convergence

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)

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