Dynamic T-Stress for a Mode-I Crack in an Infinite Elastic Plane

[+] Author and Article Information
Xian-Fang Li

Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan 410083, Chinaxfli@mail.csu.edu.cn

J. Appl. Mech 74(2), 378-381 (Feb 02, 2006) (4 pages) doi:10.1115/1.2190232 History: Received September 30, 2005; Revised February 02, 2006

An integral equation method is presented to determine dynamic elastic T-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 T-stress in the Laplace transform domain can be expressed in terms of its solution. Moreover, an explicit expression for initial T-stress is derived in closed form. Numerically solving the resulting equation and performing the inverse Laplace transform, the transient response of T-stress is determined in the time space, and the response history of the T-stress is shown graphically. Results indicate that T-stress exhibits apparent transient characteristic.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

T(t)∕σyy∞ versus cst∕a

Grahic Jump Location
Figure 2

T(t)∕σyy∞ versus clt∕a



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