Advances of peridynamics in fracture mechanics

ZHANG Heng; ZHANG Xiong; QIAO Pizhong

doi:10.6052/1000-0992-22-023

Volume 52 Issue 4

Dec. 2022

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Article Navigation > Advances in Mechanics > 2022 > 52(4): 852-873

Zhang H, Zhang X, Qiao P Z. Advances of peridynamics in fracture mechanics. Advances in Mechanics, 2022, 52(4): 852-873 doi: 10.6052/1000-0992-22-023

Citation:

Zhang H, Zhang X, Qiao P Z. Advances of peridynamics in fracture mechanics. Advances in Mechanics, 2022, 52(4): 852-873 doi: 10.6052/1000-0992-22-023

Zhang H, Zhang X, Qiao P Z. Advances of peridynamics in fracture mechanics. Advances in Mechanics, 2022, 52(4): 852-873 doi: 10.6052/1000-0992-22-023

Citation:

Zhang H, Zhang X, Qiao P Z. Advances of peridynamics in fracture mechanics. Advances in Mechanics, 2022, 52(4): 852-873 doi: 10.6052/1000-0992-22-023

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Advances of peridynamics in fracture mechanics

doi: 10.6052/1000-0992-22-023

ZHANG Heng¹,
ZHANG Xiong^{1
,
,},
QIAO Pizhong^{2
,
,}

1.
School of Aerospace, Tsinghua University, Beijing 100084, China
2.
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

More Information

Corresponding author: qiao@sjtu.edu.cn; xzhang@tsinghua.edu.cn
Received Date: 2022-05-02
Accepted Date: 2022-07-11

Available Online: 2022-07-12

Publish Date: 2022-12-29

Abstract

Abstract

In peridynamics, nonlocal integrals are proposed to calculate the node internal forces, and a unified mathematical framework is utilized to describe spatial continuity and discontinuity, which thus avoid the stress singularity caused by the local spatial derivative in the discontinuous region. Numerical peridynamic models have meshfree property, which is naturally capable of analyzing the fracture problems. In this paper, the elastic peridynamic model is briefly introduced, and the critical stretch, critical energy density, and strength-based peridynamic bond failure criteria are successively presented. Then, the research advances of peridynamics in the field of fracture mechanics are systematically introduced, including the computations of energy release rate and stress intensity factor, J integral, mixed-mode crack fracture, elastoplastic fracture, cohesive zone model, dynamic fracture, hybrid material interface fracture, and fatigue crack growth. Finally, the prospects for further research of peridynamics in fracture mechanics is provided.
- peridynamics,
- fracture mechanics,
- crack growth,
- bond failure.

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References(109)

References

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