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A Peridynamics-Based Finite Element Method (PeriFEM) for Quasi-Static Fracture Analysis

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Abstract

In this paper, a peridynamics-based finite element method (PeriFEM) is proposed for the quasi-static fracture analysis, which is of the consistent computational framework with the classical finite element method (FEM). First, the integral domain of peridynamics is reconstructed, and a new type of element called peridynamic element (PE) is defined. Although PEs are generated by the continuous elements (CEs) of classical FEM, they do not affect each other. Then, spatial discretization is performed based on PEs and CEs, and the linear equations about nodal displacement are established according to the principle of minimum potential energy. Besides, cracks are characterized as degradation of the mechanical properties of PEs. Finally, the validity of the proposed method is demonstrated through numerical examples.

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Acknowledgements

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (11872016), Fundamental Research Funds for the Central Universities (DUT20RC(5)005, DUT20LAB203) and the Key Research and Development Project of Liaoning Province (2020JH2/10500003).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116023, China

    Fei Han & Zhibin Li

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  1. Fei Han
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  2. Zhibin Li
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Correspondence to Fei Han.

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Han, F., Li, Z. A Peridynamics-Based Finite Element Method (PeriFEM) for Quasi-Static Fracture Analysis. Acta Mech. Solida Sin. 35, 446–460 (2022). https://doi.org/10.1007/s10338-021-00307-y

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  • DOI: https://doi.org/10.1007/s10338-021-00307-y

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