A general method for multiple crack problems in a finite plate |
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| Authors: | Y K Cheung C W Woo Y H Wang |
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| Affiliation: | (1) Department of Civil and Structural Engineering, University of Hong Kong, Hong Kong;(2) Department of Mechanical Engineering, University of Hong Kong, Hong Kong;(3) Department of Mechanics, Huazhong University of Science and Technology, Wuhan, China |
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| Abstract: | A novel method for the multiple crack problems in a finite plate is proposed in this paper. The basic stress functions of the solution consist of two parts. One is the Fredholm integral equation solution for the crack problem in an infinite plate, and the other is that of the weighted residual method for general plane problems. The combined stress functions are used in the analysis and the boundary conditions on the crack surfaces and the boundary are considered. After the coefficients of the functions have been determined, the stress intensity factors (SIF) at the crack tips can be calculated. Some numerical examples are given and it was observed that when the cracks are very short, the results compare very favorably with the existing results for an infinite plate. Furthermore, the influence of the boundary can be considered. This method can be used for arbitrary multiple crack problems in a finite plate. |
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