On the method of orthogonal polynomials in plane mixed problems of elasticity theory

DOI10.1016/0021-8928(70)90113-9zbMath0227.73030OpenAlexW1654310289MaRDI QIDQ2549596

V. A. Kucherov, V. M. Aleksandrov

Publication date: 1970

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(70)90113-9

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Fredholm integral equations (45B05) Elastic materials (74B99)

Related Items (5)

Method of orthogonal polynomials in plane antisymmetric mixed problems of elasticity theory with two contact sections ⋮ Two effective methods of solving mixed linear problems of mechanics of continuous media ⋮ Method of orthogonal functions in mixed problems of continuum mechanics ⋮ On certain spectral relationships associated with the Carleman integral equation and their applications to contact problems ⋮ Spectral relationships for the integral operators generated by a kernel in the form of a Weber-Sonin integral, and their application to contact problems

Cites Work

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• On a contact problem for an elastic wedge
• The contact problem of the theory of elasticity for the case of a circular area of contact
• Contact problems for an elastic layer of slight thickness
• Impression of a punch on a linearly-deformino foundation taking into account friction forces
• Certain properties of classical polynomials and their application in contact problems
• Plane contact problem of the theory of elasticity with bonding or frictional forces
• Asymptotic methods in contact problems of elasticity theory
• On the approximate solution of a certain type of integral equation

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