Dynamic analysis of a propagating antiplane interface crack
Journal
Journal of Engineering Mechanics
Journal Volume
123
Journal Issue
8
Pages
783-791
Date Issued
1997
Author(s)
Ing, Y.-S.
Abstract
In this study, the transient problem of a propagating interface crack between two different media is analyzed For time t < 0, the crack is stress free and at rest. At t = 0, a pair of concentrated antiplane dynamic point loadings are applied at the stationary crack faces. It is assumed that the stationary crack will begin to propagate along the interface with a subsonic speed as the incident wave generated by the point loading in the upper crack face or in the lower crack face arrives at the crack tip. A new fundamental solution is proposed in this study and the transient solution is determined by superposition of the fundamental solution in the Laplace transform domain. The proposed fundamental problem is the problem of applying an exponentially distributed traction (in the Laplace transform domain) on the propagating crack faces. The Cagniard-de Hoop method of Laplace inversion is used to obtain the transient solution in time domain. Theoretical results indicate that the shear stress along the interface of stationary crack in a bimaterial will jump to the corresponding static value in a homogeneous medium after the lower shear wave reaches the observation point. Moreover, the dynamic stress intensity factor of a propagating interface crack has an interesting form of the product of a universal function and the corresponding static value of a homogeneous crack.
Type
journal article