An integral equation method is presented to determine dynamic elastic -stress. Special attention is paid to a single crack in an infinite elastic plane subjected to impact loading. By using the Laplace and Fourier transforms, the associated initial-boundary value problem is transformed to a Fredholm integral equation. The dynamic -stress in the Laplace transform domain can be expressed in terms of its solution. Moreover, an explicit expression for initial -stress is derived in closed form. Numerically solving the resulting equation and performing the inverse Laplace transform, the transient response of -stress is determined in the time space, and the response history of the -stress is shown graphically. Results indicate that -stress exhibits apparent transient characteristic.
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March 2007
Technical Briefs
Dynamic -Stress for a Mode-I Crack in an Infinite Elastic Plane
Xian-Fang Li
Xian-Fang Li
Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture,
e-mail: xfli@mail.csu.edu.cn
Central South University
, Changsha, Hunan 410083, China
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Xian-Fang Li
Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture,
Central South University
, Changsha, Hunan 410083, Chinae-mail: xfli@mail.csu.edu.cn
J. Appl. Mech. Mar 2007, 74(2): 378-381 (4 pages)
Published Online: February 2, 2006
Article history
Received:
September 30, 2005
Revised:
February 2, 2006
Citation
Li, X. (February 2, 2006). "Dynamic -Stress for a Mode-I Crack in an Infinite Elastic Plane." ASME. J. Appl. Mech. March 2007; 74(2): 378–381. https://doi.org/10.1115/1.2190232
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