On the solutions of clamped Reissner-Mindlin plates under transverse loads

DOI10.1090/qam/917017zbMath0627.73062OpenAlexW2529262776MaRDI QIDQ3763684

Thomas C. Assiff, David H. Y. Yen

Publication date: 1987

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/917017

zbMATH Keywords

exact solutioncircular plateboundary layer phenomenonsingularly perturbedgoverning equationsclamped edge conditionsdependence on fractional powersdependence on small parametergeneral clamped Reissner-Mindlin platesnonexistence of regular asymptotic expansions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Plates (74K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ Singularly perturbed problems in partial differential equations: A survey

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