Error estimates for a sixth-order theory of plate bending

DOI10.1007/BF00132678zbMath0627.73061OpenAlexW2084266010MaRDI QIDQ1092717

Zenon Rychter

Publication date: 1987

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00132678

zbMATH Keywords

bendingerror boundstransverse shear deformationtransverse normal stressanisotropic, homogeneous platesapproximate exact elasticity solutionshypersphere theoremrefined linear theoryRehfield Valisetty theoryrelative mean square errorsixth-order theoriessquare of thicknessThree-dimensional displacement and stress fieldstwo-dimensional plate theory

Mathematics Subject Classification ID

Plates (74K20) Rate of convergence, degree of approximation (41A25)

Cites Work

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• An error bound in Reissner's theory of transversely isotropic plates
• A simple, refined theory for bending and stretching of homogeneous plates
• A bound on the error in plate theory
• An improved estimate for the error in the classical, linear theory of plate bending
• A bound on the error in Reissner’s theory of plates
• Approximations in elasticity based on the concept of function space

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