A refined bound on the error of Reissner's plate theory

DOI10.1007/BF00534406zbMath0614.73091OpenAlexW30413181MaRDI QIDQ4721759

Zenon Rychter

Publication date: 1987

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534406

zbMATH Keywords

three-dimensional elasticityReissner's plate theoryrelative mean square errortransverse normal rigidity

Mathematics Subject Classification ID

Plates (74K20) Error bounds for boundary value problems involving PDEs (65N15)

Cites Work

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• On transverse bending of plates, including the effect of transverse shear deformation
• A simplified Reissner theory for plate bending
• A simple, refined theory for bending and stretching of homogeneous plates
• Simple Analytic Solutions to Incompressible Irrotational Axisymmetric Flows
• A High-Order Theory of Plate Deformation—Part 1: 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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