Cc. Ma et Kc. Huang, FULL-FIELD ANALYSIS OF AN ANTIPLANE INTERFACE CRACK SUBJECTED TO DYNAMIC BODY FORCES, International journal of solids and structures, 36(2), 1999, pp. 285-309
In this study, the transient full held response of an interface crack
between two different media subjected to dynamic body force at one mat
erial is investigated. For time t < 0, the bimaterial medium is stress
free and at rest. At t = 0, a concentrated anti-plane dynamic point l
oading is applied at the medium as shown in Fig. 1. The total wave fie
ld is due to the effect of this point loading and the scattering of th
e incident waves by the interface crack. An alternative methodology th
at is; different from the conventional superposition method is used to
construct the reflected, refracted and diffracted wave fields. A usef
ul fundamental solution is proposed in this study and the full field s
olution 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 Lapl
ace transform domain) on the interfacial crack faces. The Cagniard-de
Hoop method of Laplace inversion is used to obtain the transient solut
ion in time domain. Exact transient closed form solutions for stresses
and stress intensity factors are obtained. Numerical results for the
time history of stresses and stress intensity factors during the trans
ient process are discussed in detail. (C) 1998 Elsevier Science Ltd. A
ll rights reserved.