ՀՀ ԳԱԱ Տեղեկագիր: Մեխանիկա =Proceedings of National Academy of Sciences of Armenia: Mechanics

ON THE SOLUTION TO INTEGRAL EQUATIONS OF ONE CLASS OF MIXED AND CONTACT PROBLEMS BY THE DEGENERATE KERNEL METHOD

Mkhitaryan, S.M. (2017) ON THE SOLUTION TO INTEGRAL EQUATIONS OF ONE CLASS OF MIXED AND CONTACT PROBLEMS BY THE DEGENERATE KERNEL METHOD. Mechanics. Proceedings of National Academy of Sciences of Armenia, 70 (2). pp. 58-73. ISSN 1829-3999

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Abstract

А fairly wide class of mixed and contact problems of mechanics of deformable solids is described by Fredholm integral equations of the second kind with symmetric kernels. For solving such equations, a well-known method of degenerate kernels is developed in the paper. The stated methodology is illustrated on the example of an integral equation of the E.Ja. Shtaerman generalized contact problem on indentation of a punch into an elastic half-plane taking into account the surface structure of the base.

Item Type:Article
Uncontrolled Keywords:integral equations, degenerate kernels, contact problems, Shtaerman generalized problem, regular infinite system of equations. интегральные уравнения, вырожденные ядра, контактные задачи, обобщённая задача Штаермана, регулярные бесконечные системы уравнений. ինտեգրալ հավասարումներ, վերածվող կորիզներ, կոնտակտային խնդիրներ, Շտաերմանի կոնտակտային խնդիր
Subjects:74 Mechanics of deformable solids > 74M Special kinds of problems
ID Code:2185
Deposited By:Dr. Gnun Gevorgyan
Deposited On:26 May 2017 12:24
Last Modified:26 May 2017 12:24

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