Saint-Venant-Picard-Banach method for integrating thin-walled system equations of the theory of elasticity

DOI10.3103/S0025654420070225zbMath1461.74018OpenAlexW3127916160MaRDI QIDQ2656445

E. M. Zveryaev

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.3103/s0025654420070225

zbMATH Keywords

contraction mapping principleiterative algorithmSaint-Venant semi-inverse methodcorner stress concentrationlong elastic strip

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)

Cites Work

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• Saint-Venant's problem and semi-inverse solutions in linear viscoelasticity
• A consistent theory of thin elastic shells
• Asymptotic phenomena in mathematical physics
• Remarks on The Use and Misuse of The Semi-Inverse Method in The Nonlinear Theory of Elasticity
• The stress field in a pulled cork and some subtle points in the semi-inverse method of nonlinear elasticity

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