Mixed-mode stress intensity factors evaluation of flat shells under in-plane loading employing ordinary state-based peridynamics

Ming-Jyun Dai, Satoyuki Tanaka, Selda Oterkus, Erkan Oterkus

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A recently developed peridynamic (PD) shell model based on the ordinary state-based peridynamic theory is adopted to evaluate stress intensity factors (SIFs) under in-plane loading. Strain and stress components are obtained by introducing the peridynamic differential operator. In order to evaluate mixed-mode SIFs, the domain form of the interaction integral is employed. The adaptive dynamic relaxation technique is utilized to obtain steady-state solutions, and the energy method is applied to reduce the PD surface effect. Several numerical examples are considered, including single- and mixed-mode fracture problems. All the PD results are compared with reference results to demonstrate the accuracy and effectiveness of the proposed approach. The present paper aims to examine the performance of the PD shell model in linear elastic fracture mechanics and provides an effective approach for SIFs evaluation.
Original languageEnglish
JournalTheoretical and Applied Fracture Mechanics
Publication statusAccepted/In press - 17 Nov 2020


  • peridynamics
  • peridynamic differential operator
  • interaction integral
  • stress intensity factors
  • fracture
  • flat shell

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