A Stress Tensor-based Failure Criterion for Ordinary State-based ‎Peridynamic Models‎

Document Type : Research Paper


1 Department of Aeronautical Engineering, International Academy of Aviation Industry, King Mongkut’s institute of Technology Ladkrabang,‎ Bangkok 10520, Thailand

2 Department of Industrial Engineering, University of Padova, Via Venezia 1, Padova 35131, Italy

3 Institute of Material Systems Modeling, Helmholtz-Zentrum Hereon, Max-Planck-Str. 1, 21502 Geesthacht, Germany


Peridynamics is a recent nonlocal theory of continuum mechanics that is suitable to describe fracture problems in solid mechanics. In this paper, a new failure criterion based on the stress field is developed by adopting the damage correspondence model in the ordinary state-based peridynamic theory. The proposed stress tensor-based failure criterion is capable of predicting more accurately crack propagation in the mixed mode I-II fracture problems different from other failure criteria in peridynamics. The effectiveness of the proposed model is demonstrated by performing several examples of mixed-mode dynamic fracture in brittle materials.


Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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