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SOLUTION OF MULTIPLE CRACKS IN A FINITE PLATE OF AN ELASTIC ISOTROPIC MATERIAL WITH THE DISTRIBUTED DISLOCATION METHOD
Authors:Jiong Zhang,  Zhan qu,  Qiqing Huang,  Lechun Xie,  Cenbo Xiong
Affiliation:[1]School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China; [2]School of Materials Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; [3]School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:This paper presents a numerical solution to model multiple cracks in a finite plate of an elastic isotropic material. Both the boundaries and the cracks are modeled by distributed dislocations. This method results in a system of singular integral equations with Cauchy kernels which can be solved by Gauss-Chebyshev quadrature method. Four examples are provided to assess the capability of this method.
Keywords:distributed dislocation   multiple cracks   finite plate
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