Heterogeneous Thin Films: Combining Homogenization and Dimension Reduction with Directors

DOI10.1137/15M1032557zbMath1343.49024arXiv1502.07139MaRDI QIDQ2790395

Carolin Kreisbeck, Stefan Krömer

Publication date: 4 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07139

zbMATH Keywords

variational principleshomogenizationdimension reduction\(\Gamma\)-convergencePDE constraintsmultiscale problems\(\mathcal{A}\)-quasiconvexityheterogeneous thin films

Mathematics Subject Classification ID

Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Membranes (74K15) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

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