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Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics

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Abstract

The stress-based failure criterion is implemented into the non-ordinary state-based peridynamic model. The non-ordinary state-based peridynamic model is developed to simulate the initiation, propagation and coalescence process of cracks subjected to quasi-static and dynamic loads. Three-point-bending tests with a notch offset from the center of the beam are numerically conducted under quasi-static loads. The mode I fracture toughness of Kimachi sandstone has also been evaluated using the non-ordinary state-based peridynamic model by semi-circular bend. Moreover, the proposed method is applied to investigate the effects of arrays of cracks on propagation and coalescence process of multiple cracks subjected to dynamic loads. The numerical results are in good agreement with the previous experimental and numerical results. It is concluded that the non-ordinary state-based peridynamic model is able to analyze fracture problems.

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Acknowledgments

The work is supported by the National Natural Science Foundation of China (No. 51325903), Project 973 of China (Grant No. 2014CB046903) and Natural Science Foundation Project of CQ CSTC (Nos. cstc2013kjrc-ljrccj0001; cstc2015jcyjys30001; cstc2015jcyjys30006; cstc2016jcyjys0005).

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Authors and Affiliations

  1. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Xiaoping Zhou & Yunteng Wang

  2. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, 400045, China

    Xiaoping Zhou

  3. Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, UK

    Xiaomin Xu

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  1. Xiaoping Zhou
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Correspondence to Xiaoping Zhou.

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Zhou, X., Wang, Y. & Xu, X. Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics. Int J Fract 201, 213–234 (2016). https://doi.org/10.1007/s10704-016-0126-6

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  • DOI: https://doi.org/10.1007/s10704-016-0126-6

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