Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics

Zili Dai, Jinwei Xie, Zhitang Lu, Shiwei Qin and Lin Wang
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Zili Dai: Department of Civil Engineering, Shanghai University, 99 Shangda Road, Shanghai 200444, China
Jinwei Xie: Department of Civil Engineering, Shanghai University, 99 Shangda Road, Shanghai 200444, China
Zhitang Lu: School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, China
Shiwei Qin: Department of Civil Engineering, Shanghai University, 99 Shangda Road, Shanghai 200444, China
Lin Wang: SGIDI Engineering Consulting (Group) Co., Ltd., Shanghai 200093, China

Mathematics, 2021, vol. 9, issue 22, 1-19

Abstract: Peridynamics (PD) is a novel nonlocal theory of continuum mechanics capable of describing crack formation and propagation without defining any fracture rules in advance. In this study, a multi-grid bond-based dual-horizon peridynamics (DH-PD) model is presented, which includes varying horizon sizes and can avoid spurious wave reflections. This model incorporates the volume correction, surface correction, and a technique of nonuniformity discretization to improve calculation accuracy and efficiency. Two benchmark problems are simulated to verify the reliability of the proposed model with the effect of the volume correction and surface correction on the computational accuracy confirmed. Two numerical examples, the fracture of an L-shaped concrete specimen and the mixed damage of a double-edged notched specimen, are simulated and analyzed. The simulation results are compared against experimental data, the numerical solution of a traditional PD model, and the output from a finite element model. The comparisons verify the calculation accuracy of the corrected DH-PD model and its advantages over some other models like the traditional PD model.

Keywords: peridynamics; dual-horizon; crack propagation; variable horizon; multi-grid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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