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

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.

Automated summary

The newly developed PD shell model is used to evaluate SIFs under in-plane loading based on the ordinary state-based peridynamic theory. The approach employs peridynamic differential operator to obtain strain and stress components, uses domain form of interaction integral for mixed-mode SIFs evaluation, and adapts dynamic relaxation technique for steady-state solutions. Various numerical examples are considered and compared with reference results to demonstrate accuracy and effectiveness. The study aims to examine PD shell model performance in linear elastic fracture mechanics and provides an effective approach for SIFs evaluation.