Dynamic fracture analysis of an inclined subsurface crack subjected to dynamic moving loadings

Abstract

The transient response of a half-space containing a subsurface inclined semi-infinite crack excited by a dynamic moving antiplane loading on the surface of the half-space is investigated in this study. The solutions of dynamic stress intensity factors are derived for all load speeds (subsonic and supersonic) and are determined by superposition of a proposed fundamental solution in the Laplace transform domain. The fundamental problem is the problem of applying an exponentially distributed traction in the Laplace transform domain on crack faces. The method of analysis is based on integral transform techniques and the Wiener-Hopf technique. The exact closed form transient solutions of dynamic stress intensity factors are expressed in very compact formulations in this study. These solutions are valid for an infinite length of time and have accounted for all the contributions of infinitely many waves. Numerical results of the transient stress intensity factor are obtained and the results of the limit case of zero load speed is compared with the corresponding static values.