In this study, the transient analysis of dynamic antiplane crack propagation with a constant velocity in a layered medium is investigated. The individual layers are isotropic and homogeneous. Infinite numbers of reflected cylindrical waves, which are generated from the interface of the layered medium, 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 can be 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. The exact closed-form transient solutions of dynamic stress intensity factors are expressed in compact formulations. These solutions are valid for an infinite length of time and have accounted for contributions from all the incident and reflected waves interaction with the moving crack tip. Numerical results of dynamic stress intensity factors for the propagation crack in layered medium are evaluated and discussed in detail.
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March 1997
Technical Papers
Dynamic Crack Propagation in a Layered Medium Under Antiplane Shear
Chien-Ching Ma,
Chien-Ching Ma
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China
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Yi-Shyong Ing
Yi-Shyong Ing
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China
Search for other works by this author on:
Chien-Ching Ma
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China
Yi-Shyong Ing
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, Republic of China
J. Appl. Mech. Mar 1997, 64(1): 66-72 (7 pages)
Published Online: March 1, 1997
Article history
Received:
July 10, 1995
Revised:
August 26, 1996
Online:
October 25, 2007
Citation
Ma, C., and Ing, Y. (March 1, 1997). "Dynamic Crack Propagation in a Layered Medium Under Antiplane Shear." ASME. J. Appl. Mech. March 1997; 64(1): 66–72. https://doi.org/10.1115/1.2787295
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