Numerical solutions of an internal crack problem in an elastic layer

In this thesis study, an elasticity problem is considered. The problem is reduced to a system of singular integral equations with the help of the basic equations of the elasticity theory and Fourier transform technique. The reduced system of singular integral equations is solved by the Lobatto-Chebyshev and Cubic Spline Interpolation methods. Normalized stress intensity factors (SIFs) which are an important subject in mechanics are determined. The numerical results are interpreted in the view of the mechanics.