In this study, the transient full-field solution of a surface crack subjected to a dynamic anti-plane moving loading is investigated. The solution is determined by superposition of proposed fundamental solutions in the Laplace transform domain. The fundamental solutions to be used are the problems for applying exponentially distributed traction and screw dislocations on the crack faces and along the crack tip line, respectively. The exact transient solutions of shear stresses and displacement are obtained and expressed in compact formulations. The solutions are valid for an infinite length of time and have accounted for the contributions of an infinite number of diffracted and reflected waves. Numerical calculations for both moving and stationary loading cases are evaluated and discussed in detail. The results indicate that the stresses will approach steady-state or static Solutions after the first few waves have passed through the receiver.
關聯:
Journal of the Chinese Institute of Engineers=中國工程學刊 25(6), pp.639-651