An asymptotic strain gradient Reissner-Mindlin plate model

DOI10.1007/s11012-013-9719-6zbMath1293.74287OpenAlexW2154694241MaRDI QIDQ400206

Giuseppe Geymonat, Michele Serpilli, Françoise Krasucki

Publication date: 21 August 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-013-9719-6

zbMATH Keywords

asymptotic analysisstrain gradient elasticitymicro-platesplate models

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20)

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Cites Work

• Nonlinear strain gradient elastic thin shallow shells
• An asymptotic theory of thin micropolar plates
• The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
• On bending of strain gradient elastic micro-plates
• Elastic materials with couple-stresses
• The equations of Reissner-Mindlin plates obtained by the method of internal constraints
• Edge contact forces and quasi-balanced power
• Experiments and theory in strain gradient elasticity.
• On the gradient strain elasticity theory of plates
• Couple stress based strain gradient theory for elasticity
• How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
• A geometrically exact Cosserat shell model for defective elastic crystals. Justification via \(\Gamma\)-convergence
• Derivation and justification of the models of rods and plates from linearized three-dimensional micropolar elasticity
• Micro-structure in linear elasticity
• THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
• Generalized Hooke's law for isotropic second gradient materials
• A reformulation of strain gradient plasticity.
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