Force Stream Function Method Applied to Classical Griffith’s Crack Problem

[+] Author and Article Information
Xiang Wu1

 WXY Investments, 4764 Washtenaw Ave., Suite B4, Ann Arbor, MI 48108

Joseph Genin

Department of Mechanical Engineering, New Mexico State University, Las Cruces, NM 88003


Corresponding author.

J. Fluids Eng 129(8), 1080-1082 (Feb 25, 2007) (3 pages) doi:10.1115/1.2746899 History: Received November 30, 2005; Revised February 25, 2007

In a previous paper (Wu, X., and Genin, J., 2003, J. Strain Anal. Eng. Des., 38(2), pp. 181–185), we presented a new stress analysis procedure, the force stream function method. It established a general relationship between a fluid stream function and a force stream function through pure elasticity examples. Here, we expand its applications to the field of linear fracture. A brief review of the new method is provided at the paper’s beginning. When applied to the classical Griffith’s crack problem, the corresponding fluid stream function of a flow past a normal plate is conveniently used as an analog for the crack problem. Numerical results are employed to verify the general relation in this particular case. The significance of the new force stream function method and some difficulties of its applications are discussed in the paper’s conclusion.

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

Griffith’s problem

Grahic Jump Location
Figure 2

Flow past a normal plate



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