Homogenization of many-body structures in fully nonlinear elasticity: A first approach with some applied flavour

DOI10.1002/gamm.201110017zbMath1302.74134OpenAlexW2015477971MaRDI QIDQ2890602

Philipp Emanuel Stelzig

Publication date: 11 June 2012

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201110017

zbMATH Keywords

homogenizationlarge deformations\(\Gamma \)-convergencecord-beltmany-body structurenoninterpenetration

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Energy minimization in equilibrium problems in solid mechanics (74G65) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• Injectivity and self-contact in nonlinear elasticity
• Functions of bounded deformation
• Non-interpenetration of matter for SBV deformations of hyperelastic brittle materials