Rigid perfectly plastic two–dimensional polycrystals

DOI10.1098/rspa.2001.0839zbMath1090.74543OpenAlexW2144716748MaRDI QIDQ4535301

Guillermo H. Goldsztein

Publication date: 16 June 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0839

zbMATH Keywords

div-curl lemmaeffective yield sets

Mathematics Subject Classification ID

Crystalline structure (74E15) Homogenization in equilibrium problems of solid mechanics (74Q05) Crystals in solids (74N05)

Related Items (12)

Bounds for nonlinear composites via iterated homogenization ⋮ Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals ⋮ On the asymptotic behavior of variable exponent power-law functionals and applications ⋮ Criteria for guaranteed breakdown in two-phase inhomogeneous bodies ⋮ Linear comparison estimates for the effective resistivity of three-dimensional nonlinear polycrystals ⋮ A model problem concerning recoverable strains of shape-memory polycrystals ⋮ Examples of nonlinear homogenization involving degenerate energies. I. Plane strain ⋮ \(\Gamma \)-convergence of power-law functionals with variable exponents ⋮ Stress-induced phase transformations in shape-memory polycrystals ⋮ Variational linear comparison bounds for nonlinear composites with anisotropic phases. I. General results ⋮ A variational characterization of the effective yield set for ionic polycrystals ⋮ A complete characterization of invariant jointly rank-rconvex quadratic forms and applications to composite materials

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