Ph.D. Tezi Görüntüleme  



Summary: In this study, a receding contact problem for two elastic layers whose elastic constants and heights are different supported by two elastic quarter planes and subjected to a uniformly distributed load isconsidered according to the theory of elasticity. Besides, this problem has been developed based on the Finite Element Method using ANSYS software. In the first chapter, the historical developmentsof contact problems are mentioned and some studies which are done on contact problems are summarized. In addition, to this general expressions of stresses and displacements for the cartesianand polar coordinates are obtained by using the fundamental equations of theory of elasticity and integral transformation technique of layers and quarter planes. Beside this, it has been giveninformation about finite elements method. In the second chapter, the problem is described and firstly the problem is formulated and solved by using Theory of Elasticity. Stress and displacementexpressions are substituted into the boundary conditions of the problem, the problem is reduced to a system of singular integral equations. The system of singular integral equations is solvednumerically by using GaussJacobi integration formulation and the contact areas, the contact pressures, normal stresses and shear stresses are determined. Furthermore in this section, a recedingcontact problem in literature is investigated via Finite Element Method to verify the suitability of the mesh structure and component types used in the software. Subsequently the contact problem ofelastic layers supported by elastic quarter planes which are mentioned above is also numerical analyzed by finite element method. In the third chapter, the numerical applications of the problemgiven in the previous chapter for various dimensionless quantities such as load width, distance between two quarter planes, height of layers and material properties are obtained and results areshown and discussed in graphics and tables. In the fourth chapter, the conclusions and recommendation drawn from this study are given.Key Words: Theory of Elasticity, Contact mechanics, Contact pressure, Contact area, Integral transform technique, Quarter plane, Finite elements method, ANSYS 