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Field-enriched finite element method for simulating of three-dimensional crack propagation

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Abstract

In this paper, the field-enriched finite element method is proposed for simulating three-dimensional crack propagation, in which the influences of three-dimensional crack on the physical fields of computational model are described by enriching the field variable on the nodes. Then, through a benchmark example, it is found that under different mesh densities, the convergence rate of the stress intensity factor and energy norm error obtained by the field-enriched finite element method is faster than that of the traditional finite element method. Moreover, the field-enriched finite element method can calculate the stress intensity factor which is basically close to the precision of the extended finite element method and the analytical solution. Finally, comparing with the other numerical results or experimental results on three numerical examples, it is found that the proposed method can effectively and accurately simulate the three-dimensional crack propagation process under different loading conditions.

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Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by Funded by the Research Fund of State and Local Joint Engineering Laboratory for Gas Drainage & Ground Control of Deep Mines (Henan Polytechnic University) (SJF2206) and the National Natural Science Foundation of China (Grant Nos. 51839009 and 52027814).

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Authors and Affiliations

  1. School of Civil Engineering, Chongqing University, Chongqing, 400045, People’s Republic of China

    Longfei Wang & Xiaoping Zhou

  2. State and Local Joint Engineering Laboratory for Gas Drainage and Ground Control of Deep Mines, Henan Polytechnic University, Jiaozuo, 454001, Henan, People’s Republic of China

    Longfei Wang

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  1. Longfei Wang
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Wang, L., Zhou, X. Field-enriched finite element method for simulating of three-dimensional crack propagation. Comput Mech 71, 1119–1138 (2023). https://doi.org/10.1007/s00466-023-02297-9

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