A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis

Michiya Imachi, Satoyuki Tanaka, Tinh Quoc Bui, Selda Oterkus, Erkan Oterkus

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The recently developed ordinary state-based peridynamics (OSPD) is further enhanced to study elastodynamic propagating crack based on the dynamic stress intensity factors (DSIFs). The displacement discontinuity such as a crack surface is represented by a bond-failure. Variations of the mixed-mode DSIFs with time are evaluated by the interaction integral method for the dynamic crack propagation. In terms of OSPD fracture modeling, numerical oscillation of DSIFs becomes a critical issue during the evolution of a crack. To overcome this numerical oscillation problem, we introduce a new model of bond-failure, the transition bond. The enhanced OSPD approach using the new transition bond model offers accurate and acceptable results, suppressing the numerical oscillation of responses and reflecting an effective approach. The effects of different types of transition bond are numerically analyzed. Accuracy of the DSIFs is examined employing the various damping parameters and effectiveness of the new PD fracture model is verified. The Kalthoff-Winkler impact test is considered for evaluating the mixed-mode DSIFs and the crack paths.
Original languageEnglish
Number of pages33
JournalEngineering Fracture Mechanics
Early online date6 Dec 2018
Publication statusE-pub ahead of print - 6 Dec 2018



  • peridynamics
  • dynamic tracture
  • dynamic stress intensity factors
  • crack propagation

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