Some solutions of the theory of elasticity for a rectangle

DOI10.3103/S0025654421070153zbMath1483.74012OpenAlexW4200235159MaRDI QIDQ2070802

Alexander P. Kerzhaev, Irina V. Menshova, T. D. Shulyakovskaya, Mikhail D. Kovalenko

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.3103/s0025654421070153

zbMATH Keywords

rectangular domainFourier integralexact series solutionPapkovich-Fadle eigenfunction

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) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

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• Bending of an elastic rectangular clamped plate: Exact versus `engineering' solutions
• Borel transform in the class W of quasi-entire functions
• On the exact solutions of the biharmonic problem of the theory of elasticity in a half-strip
• Exact solutions of boundary value problems in the theory of plate bending in a half-strip: basics of the theory

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