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    A Fast Multipole Dual Boundary Element Method for the Three-dimensional Crack Problems

    H. T. Wang1,2, Z. H. Yao3

    CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.2, pp. 115-148, 2011, DOI:10.3970/cmes.2011.072.115

    Abstract A fast boundary element solver for the analysis of three-dimensional general crack problems is presented. In order to effectively model the embedded or edge cracked structures a dual boundary integral equation (BIE) formulation is used. By implementing the fast multipole method (FMM) to the discretized BIE, structures containing a large number of three-dimensional cracks can be readily simulated on one personal computer. In the FMM framework, a multipole expansion formulation is derived for the hyper-singular integral in order that the multipole moments of the dual BIEs containing the weakly-, strongly- and hyper-singular kernels are collected More >

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