Abstract
In this study, a numerical solution of elasticity problem is examined. This problem is a plane contact problem. The frictional contact problem for an elastic strip under a rigid punch system is considered. The frictional contact problem is related to infinite length elastic strip in contact with N punches under the influence of horizontal and vertical forces. The lower boundary of the strip is hinged. The solution of contact problems is often reduced to the solution of an integral equation. This integral equation system can be derived from contact problem by using the basic equations of elasticity theory and the given boundary conditions. The singular integral equation system is solved with the help of Gauss Jacobi Quadrature Collocation Method. The frictional contact problem for a homogenous and orthotropic elastic layer are investigated numerically the pressure distribution under the punch system due to the geometrical and mechanical properties of elastic layer are examined and the results are shown in the graphics and tabular form.
Highlights
Many problems related to the mechanic of elastic bodies can be converted into the singular integral equations
Plane contact problems with mixed boundary conditions is studied by Alexandrov [8,9]
Chebakov investigated the asymptotic solution of contact problems for a relatively thick elastic layer when there are friction forces in the contact area.[10]
Summary
Many problems related to the mechanic of elastic bodies can be converted into the singular integral equations. For this reason, studies on the solution of singular integral equations hold an important place in mathematic. Many methods have been developed to obtain an analytic solution of integral equations. The numerical solution methods have been developed since it is difficult to solve integral equations analytically. The elements of many structural and mechanical systems are in contact with each other. The solution of contact problems has gained speed with the aid of elasticity theory and important studies have been done
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