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    ARTICLE

    The Stable Explicit Time Stepping Analysis with a New Enrichment Scheme by XFEM

    Xue-cong Liu1, Qing Zhang1,*, Xiao-zhou Xia1

    CMC-Computers, Materials & Continua, Vol.53, No.3, pp. 187-206, 2017, DOI:10.3970/cmc.2017.053.203

    Abstract This paper focuses on the study of the stability of explicit time integration algorithm for dynamic problem by the Extended Finite Element Method (XFEM). A new enrichment scheme of crack tip is proposed within the framework of XFEM. Then the governing equations are derived and evolved into the discretized form. For dynamic problem, the lumped mass and the explicit time algorithm are applied. With different grid densities and different forms of Newmark scheme, the Dynamic Stress Intensity Factor (DSIF) is computed by using interaction integral approach to reflect the dynamic response. The effectiveness of the proposed scheme is demonstrated through… More >

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