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
The analysis of variability of material deformation properties and theory of creep.
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The axisimetric contact problem for two cylinders.
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About the existtnce of the waves of Raylelghs type in semiinfinite closed noncircular cylindrical shells.
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Asymptotics for solutions of the equations in vibration of a spherical shell.
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On the solution of the problem for anisotropic half- plane on the edge of which a nonlinear deformable stringer of finite legth is glued.
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