#### Ph.D. Tezi Görüntüleme

 Student: İsa ÇÖMEZ Supervisor: Prof. Dr. Ragıp ERDÖL Department: İnşaat Mühendisliği Institution: Graduate School of Natural and Applied Sciences University: Karadeniz Technical University, Turkey
 Title of the Thesis: FRICTIONAL CONTACT PROBLEM FOR AN ELASTIC LAYER AND A HALF PLANE INDENTED BY A RIGID CYLINDRICAL PUNCH Level: Ph.D. Acceptance Date: 25/9/2009 Number of Pages: 141 Registration Number: Di725
Summary:

In this study, the frictional contact problem for an elastic layer and a half plane indented by a rigid cylindrical stamp is considered according to the theory of elasticity. The rigid stamp subjected to concentrated vertical and tangential forces is applied to the top surface of isotropic and homogeneous layer with the height of h.

In the first chapter, some studies on the contact problems investigated until now are mentioned and the summary of literature is given. General equations of stresses and displacements which are required for the solution of the problem are obtained by using the theory of elasticity and the integral transform techniques.

In the second chapter, firstly, the contact problem of the layer bonded to the half plane is examined and its boundary conditions are determined. Applying the expressions of stresses and displacements to the boundary conditions, a singular integral equation is obtained, where the contact pressure under the stamp is unknown. The solution of the integral equation is obtained using both with the Gauss-Jacobi integration formula and the Jacobi polynomials. Secondly, the receding contact problem of the layer lying on the half plane is considered. With the boundary conditions of the problem an integral equation system which consists of two integral equations is obtained, where the contact pressure between the layer and the half plane is also unknown, besides the contact pressure under the stamp. To carry out the solution of the system of integral equation Gauss-Jacobi integration formula is performed.

In the third chapter, the numerical results for the contact widths and the contact pressures which are obtained for different values of various dimensionless quantities such as material properties, concentrated loads and radius of stamp are given in graphical forms and tables, each of the bonded contact and the receding contact problems. The accuracy and the validity of the results has been verified with existing solutions. Furthermore, x, y and xy stress components for the layer and the half plane are determined along the y axis. The conclusions obtained from the study are mentioned in the last chapter.

Key Words: Frictional Contact, Receding Contact, Continuous Contact, Integral Transform Techniques, Theory of Elasticity, Rigid Stamp, Friction.