First and second fundamental axisymmetric problems of elasticity theory for doubly-connected domains bounded by the surface of a sphere and a spheroid

DOI10.1016/0021-8928(90)90087-QzbMath0733.73021OpenAlexW1976154842MaRDI QIDQ809665

V. S. Protsenko, Alexander G. Nikolaev

Publication date: 1990

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(90)90087-q

zbMATH Keywords

hydrostatic pressurecompletely continuous operatorsmulticonnected domainsdomains with other geometryexpansions in a small parameterfundamental boundary-value problemshomogeneous Lamé equationinfinite systems of linear algebraic equations of the second kind

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Elastic materials (74B99) Lamé, Mathieu, and spheroidal wave functions (33E10)

Cites Work

• Solution of three-dimensional problems of elasticity theory with the aid of re-expansion formulas
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