An exact two-dimensional model for heterogeneous plates

DOI10.1177/1081286517752544zbMath1444.74036OpenAlexW2792380411MaRDI QIDQ3300724

Erick Pruchnicki

Publication date: 29 July 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517752544

zbMATH Keywords

convergencelinear elasticityFourier series expansionscaled Legendre polynomial

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Inhomogeneity in solid mechanics (74E05)

Cites Work

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• Thin-plate theory for large elastic deformations
• Extension of Koiter's linear shell theory to materials exhibiting arbitrary symmetry
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity
• A fifth-order model for shells which combines bending, stretching and transverse shearing deduced from three-dimensional elasticity
• Modeling of consistent second‐order plate theories for anisotropic materials

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