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An edge-based smoothed XFEM for fracture in composite materials

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Abstract

In this work, an edge-based smoothed extended finite element method (ES-XFEM) is extended to fracture analysis in composite materials. This method, in which the edge-based smoothing technique is married with enrichment in XFEM, shows advantages of both the extended finite element method (XFEM) and the edge-based smoothed finite element method (ES-FEM). The crack tip enrichment functions are specially derived to represent the characteristic of the displacement field around the crack tip in composite materials. Due to the strain smoothing, the necessity of integrating the singular derivatives of the crack tip enrichment functions is eliminated by transforming area integration into path integration, which is an obvious advantage compared with XFEM. Two examples are presented to testify the accuracy and convergence rate of the ES-XFEM.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, 117576, Singapore

    Y. Jiang, T. E. Tay & X. S. Sun

  2. Department of Engineering Mechanics, Institute of High Performance Computing, 1 Fusionopolis Way, Connix, 138632, Singapore

    L. Chen

Authors
  1. Y. Jiang
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  2. T. E. Tay
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  3. L. Chen
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  4. X. S. Sun
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Correspondence to Y. Jiang.

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Jiang, Y., Tay, T.E., Chen, L. et al. An edge-based smoothed XFEM for fracture in composite materials. Int J Fract 179, 179–199 (2013). https://doi.org/10.1007/s10704-012-9786-z

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  • DOI: https://doi.org/10.1007/s10704-012-9786-z

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