Bending of thin periodic plates

DOI10.1007/s00526-015-0932-0zbMath1343.35225arXiv1502.03418OpenAlexW1596289819WikidataQ59410142 ScholiaQ59410142MaRDI QIDQ5963601

Mikhail Cherdantsev, Kirill D. Cherednichenko

Publication date: 22 February 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03418

zbMATH Keywords

compactnessdiscontinuously anisotropiceffective stored-energyelastic energy functionalisometry constraintnonlinearly elastic platesperiodic plates

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Homogenization in equilibrium problems of solid mechanics (74Q05) PDEs in connection with mechanics of deformable solids (35Q74) Variational principles of physics (49S99)

Related Items (3)

Stochastic homogenization of the bending plate model ⋮ A homogenized bending theory for prestrained plates ⋮ Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties

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