A contact problem for nonhomogeneous half plane

In this thesis, the frictionless contact problem for an elastic half plane pushed by two rigid punches is considered. This study consists of four chapters and references sections. In chapter 1, from past to present some studies on the contact problems and singular integral equations are mentioned. In chapter 2, contact problem between half plane and two rigid punches is defined and corresponding integral equation system is obtained with appropriate boundary value conditions and using equations of elasticity theory. The half plane is consisted from combination of homogeneous and nonhomogeneous parts. The considired integral equations system is reduced to a linear equations system by using Gauss-Chebyshev quadrature and collocation method. In chapter 3, the considired problem for half plane is examined numerically. Distribution contact pressure beneath the punches system is investigated depending on geometrical and mechanical qualities of elastic half plane. In chapter 4, the obtained results are given.