Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes

DOI10.3103/S0027133011030022zbMath1433.74018OpenAlexW2065938750MaRDI QIDQ2402644

T. I. Garyaeva, D. V. Georgievskii

Publication date: 13 September 2017

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133011030022

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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• Asymptotics with respect to a small geometric parameter for solutions of three-dimensional Lamé equations
• Derivation of an approximate theory of shells by means of asymptotic integration of the equations of the theory of elasticity
• Asymptotic solution of the contact problem for a thin elastic layer
• Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory

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