ON THE SOLUTION TO INTEGRAL EQUATIONS OF ONE CLASS OF MIXED AND CONTACT PROBLEMS BY THE DEGENERATE KERNEL METHOD
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2017, Vol 70, Issue 2
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.
Authors and Affiliations
S. M. Mkhitaryan
Linear and nonlinear problems of impact of elastic bodies of finite deprh, bounded from ahead by dihedral angles.
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Solution of the mixed problem of the theory of elasticity for a circular ring.
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Propogation of spin waves in a periodic stratified medium.
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An acceleration of convergence in the problem of bending of the rectangular isotropic plate under transversal force.
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On the method of elastic solution in the theory of plates.
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