Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram

DOI10.1007/s00205-018-1290-9zbMath1415.35023arXiv1805.05150OpenAlexW2800670848MaRDI QIDQ1710404

Matthias Ruf, Antoine Gloria

Publication date: 22 January 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05150

zbMATH Keywords

laminate structuremicroscopic buckling of composite materials

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

A class of nonlinear elasticity problems with no local but many global minimizers ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Compactness and stable regularity in multiscale homogenization ⋮ A two-dimensional labile aether through homogenization ⋮ Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems

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