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Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations

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Abstract

Due to the adoption of integral equations instead of partial differential equations to describe the deformations of materials, the peridynamics has advantages in dealing with fracture problems. However, the non-local effect of peridynamics brings too much computation cost to make large-scale engineering applications challenging. In this paper, a parallel algorithm in the Compute Unified Device Architecture (CUDA) framework is presented to speed up the computational process of a peridynamic model for quasistatic fracture simulations on GPU, in which the peridynamic model is numerically implemented by the peridynamics-based finite element method (PeriFEM) [1]. The parallel algorithm makes crack simulations by the pure peridynamics with millions of degrees of freedom possible with one GPU. To validate the accuracy and efficiency of the parallel algorithm based on PeriFEM, several numerical benchmarks are performed, and the results are compared with those obtained by the finite element method (FEM) and the serial algorithm. The results of the comparison show that the presented parallel algorithm is effective and efficient.

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Funding

The authors gratefully acknowledge the financial support received from the National Natural Science Foundation of China (12272082, 11872016) and National Key Laboratory of Shock Wave and Detonation Physics (JCKYS2021212003).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116023, China

    Jiandong Zhong, Fei Han & Ling Zhang

  2. State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Dalian University of Technology, Dalian, 116023, China

    Fei Han

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  1. Jiandong Zhong
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Contributions

Fei Han provided the main idea and designed the algorithm and Ling Zhang wrote the main manuscript text. Jiandong Zhong developed programs and prepared all figures and tables. All authors reviewed the manuscript.

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Correspondence to Ling Zhang.

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Zhong, J., Han, F. & Zhang, L. Accelerated Peridynamic Computation on GPU for Quasi-static Fracture Simulations. J Peridyn Nonlocal Model 6, 206–229 (2024). https://doi.org/10.1007/s42102-023-00095-8

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  • DOI: https://doi.org/10.1007/s42102-023-00095-8

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