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ORIGINAL RESEARCH article

Front. Phys.

Sec. Interdisciplinary Physics

This article is part of the Research TopicMathematical Physics Methods and Advanced Materials in Frontier Applications for Underground EngineeringView all articles

A novel method to simultaneously obtain multiple basic parameters for discretization-independent bond-based peridynamic analysis

Provisionally accepted
  • Jiangsu University of Science and Technology, Zhenjiang, China

The final, formatted version of the article will be published soon.

Peridynamics (PD) is an effective numerical analysis theory applicable to problems involving strong discontinuities such as fractures. The convergence of numerical results from PD models depends on multiple basic parameters such as the spatial discretization scale, horizon size, and time step size. However, there is a lack of a comprehensive research approach for verifying the independence of computational results from the discretization parameters, which may reduce the confidence of the numerical results. In the present work, a novel parameter independent verification method was proposed for the bond-based PD model. Based on the method, convergence studies on the Kalthoff-Winkler experiment was carried out to obtain the basic discretization parameters for the problem. The results indicate that the parameter independence verification method is effective. The study provides theoretical and technical supports for determining discrete parameters in numerical simulations.

Keywords: convergence study, Discretization parameters, PD, Orthogonal experimental design, Crack propagation

Received: 17 Jul 2025; Accepted: 23 Oct 2025.

Copyright: © 2025 Hu and Chen. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Xiaomiao Chen, cxm2020@just.edu.cn

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