Rock and Soil Mechanics ›› 2025, Vol. 46 ›› Issue (S1): 467-476.doi: 10.16285/j.rsm.2024.0706

• Numerical Analysis • Previous Articles     Next Articles

Unstructured mesh generation and fracture damage analysis in the implementation of peridynamics-based finite element method

ZHANG Xian-cheng1, CHI Bao-tao1, 2, 3, YU Xian-ze1, GUO Qian-jian1, 3, YUAN Wei1, 3, ZHANG Yao-ming4   

  1. 1. School of Mechanical Engineering, Shandong University of Technology, Zibo, Shandong 255000, China; 2. Taihua Intelligent Industry Group Postdoctoral Research Institute, Jinan, Shandong 250013, China; 3. Joint Laboratory of Intelligent Equipment for Nuclear Engineering of CNNC and SDUT, Zibo, Shandong 255000, China; 4. School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong 255000, China
  • Received:2024-06-06 Accepted:2024-11-14 Online:2025-08-08 Published:2025-09-01
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (12202251, 12172201), the Shandong Provincial Natural Science Foundation (ZR2024QE073, ZR2022ME122), the Shandong Technology-based SME Innovation Project (2024TSGC0858), the Scientific Innovation Project for Young Scientists in Shandong Provincial Universities (2024KJH026) and the Taishan Industry Leader Talent Project.

Abstract: Material failure has a direct impact on the reliability and safety of the components of engineering equipment. Accurately predicting fracture behavior using traditional measurement techniques is challenging. Peridynamics (PD) is an integral nonlocal continuum mechanics theory that effectively simulates material fracture failure. However, PD does not rely on pre-generated mesh to construct the governing equations. Nevertheless, it suffers from low computational efficiency when solving large-scale problems. This paper presents an improved grid-based mesh generation technique based on bond-based PD finite element method. An improved grid-based mesh generation method is proposed for complex geometries with arbitrary cracks. Additionally, an efficient orthogonal quadrilateral-dominated automatic surface mesh generation scheme is developed. The boundary fitting algorithms are adopted to achieve high-quality entity boundary fitting, which successfully solves the problem of entity boundary fitting of the traditional out-side-in mesh method. In addition, peridynamics-based finite element method combines the advantages of bond-based PD and unstructured mesh generation techniques. This method fully exploits inherent advantages of PD in representing the non-local action effect and discontinuous deformation characteristics of materials, while maintaining the characteristic of fast node traversal of the finite element method. Combined with the improved grid-based mesh generation method, numerical examples have demonstrated the effectiveness and reliability of the peridynamics-based finite element method (PeriFEM) in conducting damage analysis of finite width plates, L-shaped plates, double-notched plates and centrally notched disks.

Key words: peridynamics-based finite element method (PeriFEM), fracture damage, improved grid-based method, unstructured mesh generation

CLC Number: 

  • O343
[1] ZHOU Chang-bing, YAN Jun-hao, LI Xiao-shuang, . Numerical simulation of dynamic evolution characteristics of thermal fracture in granite [J]. Rock and Soil Mechanics, 2024, 45(S1): 694-704.
[2] LIU Yang, YU Peng-qiang, XU Shuo. Wave propagation in anisotropic granular materials based on micromorphic continua [J]. Rock and Soil Mechanics, 2022, 43(3): 635-648.
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