ZHANG Xian-cheng, CHI Bao-tao, YU Xian-ze, et al. Unstructured mesh generation and fracture damage analysis in the implementation of peridynamics-based finite element method[J]. 2025, 46(S1): 467-476+490.
DOI:
ZHANG Xian-cheng, CHI Bao-tao, YU Xian-ze, et al. Unstructured mesh generation and fracture damage analysis in the implementation of peridynamics-based finite element method[J]. 2025, 46(S1): 467-476+490.DOI: 10.16285/j.rsm.2024.0706.
Unstructured mesh generation and fracture damage analysis in the implementation of peridynamics-based finite element method
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.