Global error estimates in Reissner theory of thin elastic shells

DOI10.1016/0020-7225(88)90030-4zbMath0662.73043OpenAlexW2074784288MaRDI QIDQ1114486

Zenon Rychter

Publication date: 1988

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(88)90030-4

zbMATH Keywords

energy inequalitiesarbitrary geometryenergy normsrelative mean square erroraccuracy of a shell theoryapproximation to three-dimensional elasticityextension of Reissner's theory of platesPrager-Synge hypersphere theoremregular edge conditions on the lateral boundarythree-dimensional displacement and stress fieldstransversely loaded shellstwo-dimensional shell theory solutions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Membranes (74K15) Dynamical problems in solid mechanics (74H99)

Related Items

The resultant linear six‐field theory of elastic shells: What it brings to the classical linear shell models?, A bound on the error in classical theory of laminated plates, Structure of rod-shell theories in Hilbert space, A family of shear deformation theories for shallow shells

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple, refined theory for bending and stretching of homogeneous plates
• On the theory of thin elastic shells
• 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
• Stress Strain Relations in the Theory of Thin Elastic Shells