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A new bond failure criterion for ordinary state-based peridynamic mode II fracture analysis

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Abstract

Peridynamics is a nonlocal theory, and it has been applied to a series of fracture problems based on its two main bond failure criteria: the critical stretch criterion and the critical energy density criterion. In this paper, a new criterion, the critical skew criterion, corresponding to the shear deformation, is for the first time proposed specifically for ordinary state-based peridynamic mode II fracture analysis. The necessity of the critical skew criterion is demonstrated by limitations and inaccuracy of the existing critical stretch and energy density criteria in theoretical and numerical mode II fracture analysis. The validity of the proposed critical skew criterion is illustrated by quantitative analysis of the captured behaviors of the typical mode II fracture tests. The results obtained by the critical skew criterion agree well with the benchmark data from the linear elastic theory, the virtual crack closure technique, and the Griffith’s theory in different aspects of analysis. A simplified formula of the bond energy density is also derived and verified, and it can serves as a fundamental tool in peridynamic fracture analysis.

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Acknowledgements

The authors would like to acknowledge the partial financial support from the National Natural Science Foundation of China (NSFC Grant Nos. 51478265 and 51679136).

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Authors and Affiliations

  1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Yong Zhang & Pizhong Qiao

  2. Department of Civil and Environmental Engineering, Washington State University, Sloan Hall 117, Pullman, WA, 99164-2910, USA

    Pizhong Qiao

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  1. Yong Zhang
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Correspondence to Pizhong Qiao.

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Zhang, Y., Qiao, P. A new bond failure criterion for ordinary state-based peridynamic mode II fracture analysis. Int J Fract 215, 105–128 (2019). https://doi.org/10.1007/s10704-018-00341-x

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