Transient Analysis of Dynamic Crack Propagation With Boundary Effect

[+] Author and Article Information
Chien-Ching Ma, Yi-Shyong Ing

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617 R.O.C.

J. Appl. Mech 62(4), 1029-1038 (Dec 01, 1995) (10 pages) doi:10.1115/1.2896039 History: Accepted January 04, 1994; Received January 04, 1994; Online October 30, 2007


In this study, a dynamic antiplane crack propagation with constant velocity in a configuration with boundary is investigated in detail. The reflected cylindrical waves which are generated from the free boundary will interact with the propagating crack and make the problem extremely difficult to analyze. A useful fundamental solution is proposed in this study and the solution is determined by superposition of the fundamental solution in the Laplace transform domain. The proposed fundamental problem is the problem of applying exponentially distributed traction (in the Laplace transform domain) on the propagating crack faces. The Cagniard’s method for Laplace inversion is used to obtain the transient solution in time domain. Numerical results of dynamic stress intensity factors for the propagation crack are evaluated in detail.

Copyright © 1995 by The American Society of Mechanical Engineers
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