The BEM analysis on bending fracture problem of thin plate |
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Authors: | Zeng-Fu Li and Gui-Chang Yang |
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Affiliation: | (1) Tianjain University, Tianjain, China;(2) North China Municipal Engineering Design Institute, Tianjin, China |
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Abstract: | In this paper, based on Betti's reciprocal theorem, a set of boundary integral equations of thin plate with a crack is introduced. These boundary integral equations can be used to solve the bending fracture problem of thin plate. In the analysis process a higher-order singular integral equation will be induced. Using the concept of the Hadamard's principal value the higher-order singular integral can be solved conveniently. By this method we have found the analytical solution of a thin plate with a straight crack under pure bending load and indicated how to use the BEM to analyze the bending and fracture problem for thin plate with a straight crack. At the end of the paper some numerical examples are given. Numerical results show the accuracy and efficiency of the algorithms. |
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Keywords: | boundary element stress-intensity factor Hadamard's principal value |
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