The transient response of a finite bimaterial plate with a crack perpendicular to and terminating at the interface is analyzed for two types of boundaries (free-free and clamped-clamped). The crack surface is loaded by arbitrary time-dependent antiplane shear impact. The mixed initial-boundary value problem is reduced to a singular integral equation of a generalized Cauchy kernel for the crack tearing displacement density or screw dislocation density. The Gauss-Jacobi quadrature technique is employed to numerically solve the singular integral equation, and then the dynamic stress intensity factors are determined by implementing a numerical inversion of the Laplace transform. As an example, numerical calculations are carried out for a cracked bimaterial plate composed of aluminum (material I) and epoxy or steel (material II). The effects of material properties, geometry, and boundary types on the variations of dynamic stress intensity factors are discussed in detail. Results indicate that an overshoot of the normalized stress intensity factor of the crack tip at the interface decreases for a cracked bimaterial plate, and the occurrence of which is delayed for a cracked aluminum/epoxy plate compared to a pure aluminum plate with the same crack.
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July 2006
Technical Papers
Transient Response of a Finite Bimaterial Plate Containing a Crack Perpendicular to and Terminating at the Interface
Xian-Fang Li,
Xian-Fang Li
Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture,
Central South University
, Changsha 410083, China
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L. Roy Xu
L. Roy Xu
Department of Civil and Environmental Engineering,
e-mail: l.roy.xu@vanderbilt.edu
Vanderbilt University
, Nashville, TN 37235
Search for other works by this author on:
Xian-Fang Li
Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture,
Central South University
, Changsha 410083, China
L. Roy Xu
Department of Civil and Environmental Engineering,
Vanderbilt University
, Nashville, TN 37235e-mail: l.roy.xu@vanderbilt.edu
J. Appl. Mech. Jul 2006, 73(4): 544-554 (11 pages)
Published Online: September 26, 2005
Article history
Received:
June 12, 2005
Revised:
September 26, 2005
Citation
Li, X., and Xu, L. R. (September 26, 2005). "Transient Response of a Finite Bimaterial Plate Containing a Crack Perpendicular to and Terminating at the Interface." ASME. J. Appl. Mech. July 2006; 73(4): 544–554. https://doi.org/10.1115/1.2130734
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