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Implementation Details for the Phase Field Approaches to Fracture

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Abstract

Phase field description of fracture is a very promising approach for simulating crack initiation, propagation, merging and branching. This method greatly reduces the implementation complexity, compared with discrete descriptions of cracks. In this work, we provide an overview of phase field models for quasistatic and dynamic cases. Afterward, we present useful vectors and matrices for the implementation of this method in two and three dimensions.

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Authors and Affiliations

  1. State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yongxing Shen  (沈泳星), Mostafa Mollaali, Yihuan Li  (李毅环) & Weixin Ma  (马维馨)

  2. University of Michigan - Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yongxing Shen  (沈泳星), Mostafa Mollaali, Yihuan Li  (李毅环) & Weixin Ma  (马维馨)

  3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA

    Jiahao Jiang  (蒋家皓)

Authors
  1. Yongxing Shen  (沈泳星)
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  2. Mostafa Mollaali
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  3. Yihuan Li  (李毅环)
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  4. Weixin Ma  (马维馨)
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  5. Jiahao Jiang  (蒋家皓)
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Corresponding author

Correspondence to Yongxing Shen  (沈泳星).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 11402146), and the Young 1 000 Talent Program of China

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Shen, Y., Mollaali, M., Li, Y. et al. Implementation Details for the Phase Field Approaches to Fracture. J. Shanghai Jiaotong Univ. (Sci.) 23, 166–174 (2018). https://doi.org/10.1007/s12204-018-1922-0

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  • DOI: https://doi.org/10.1007/s12204-018-1922-0

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