An asymptotic approach to the problems of the theory of elasticity of bodies of finite dimensions

DOI10.1016/0021-8928(84)90065-0zbMath0584.73024OpenAlexW2071521509MaRDI QIDQ1069729

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90065-0

zbMATH Keywords

inversionequilibrium problemsintegral equation of the first kindhalf-stripasymptotic with respect to the small parameterbodies of finite dimensionsbody's thicknessclosed solution in quadraturesfixed dimensionsfree lateral facegiven normal displaced longitudinal boundariesreduction to an infinite system of algebraic equationssemi- infinite intervalseparation of the boundary-layer part of the solutionsymmetric and antisymmetric loading

Mathematics Subject Classification ID

Elastic materials (74B99)

Uses Software

• SNIFF

Cites Work

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• Algorithm 36. SNIFF: Efficient self-tuning algorithm for numerical integration
• A boundary-layer theory for elastic plates
• The state of stress in a thin plate
• The state op stress in a thick plate
• Asymptotic methods in contact problems of elasticity theory
• On the behavior of the solution of the first fundamental problem of the theory of elasticity for a long rectangular plate
• Some asymptotic relations in the statistical theory of stability of shells

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