Author(s)

N. Hasebe & J. Qian

Abstract

A circular rigid punch with two corners coming into contact with an elastic half plane is presented to initiate a surface crack on the boundary of the half plane. The punch is usually inclined by an angle owing to the existence of the crack and the frictional force on the contact region. The problem is solved by three steps; the first step is to map the half plane with a surface vertical crack into a unit circle by a rational mapping function; the second step is to transform the problem into a Riemann-Hilbert problem; the third step is to solve the R-H equation. Then stress components and stress intensity factors of the crack are calcul

Keywords