A new ordinary state based peridynamic model considering bond rotation for analyzing shear induced crack propagation

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Gao, Yan and Luo, Ya and Wang, Tao and Liu, Sunqi and Oterkus, Selda and Li, Liang (2026) A new ordinary state based peridynamic model considering bond rotation for analyzing shear induced crack propagation. Journal of Peridynamics and Nonlocal Modeling, 8 (1). 7. ISSN 2522-8978 (https://doi.org/10.1007/s42102-026-00144-y)

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Abstract

An accurate model for simulating shear deformation and model II crack propagation is essential for investigating the failure mechanism underlying material fracture behavior. In this paper, the traditional ordinary state-based peridynamic model is refined by introducing a rotation angle term to accurately capture shear-related behaviors, including shear deformation and mode II fracture. Furthermore, the proposed model eliminates the influence of rigid body rotation and overcomes the limitations of the traditional bond-based peridynamic theory regarding material’s Poisson ratio. Subsequently, a failure criterion based on a skew angle is incorporated to enable the simulation of mode II crack propagation. To validate the model, several benchmark cases are conducted, including an intact plate under in-plane bending loads, a plate with an initial crack subject to shear loading, and a plate with a hole under compressive loading. The high degree of consistency between the deformation predicted by the proposed model and the finite element method confirms the present peridynamic model’s accuracy. Finally, the model’s ability in predicting mode II crack propagation is demonstrated through the agreement between the simulated propagation path and existing results for a plate under shear loading.

ORCID iDs

Gao, Yan, Luo, Ya, Wang, Tao, Liu, Sunqi, Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279 and Li, Liang;
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