Research on Phase-Field Model for Fatigue Fracture of Functionally Graded Materials

CHEN Rongfu; SHAO Yulong; REN Zhanwei

doi:10.21656/1000-0887.450179

Volume 46 Issue 7

Jul. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(7): 893-903

CHEN Rongfu, SHAO Yulong, REN Zhanwei. Research on Phase-Field Model for Fatigue Fracture of Functionally Graded Materials[J]. Applied Mathematics and Mechanics, 2025, 46(7): 893-903. doi: 10.21656/1000-0887.450179

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Research on Phase-Field Model for Fatigue Fracture of Functionally Graded Materials

doi: 10.21656/1000-0887.450179

Hebei Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures, Yanshan University, Qinhuangdao, Hebei 066004, P.R.China

Received Date: 2024-06-19
Rev Recd Date: 2024-06-26

Available Online: 2025-07-30

Publish Date: 2025-07-01

Abstract

Abstract

The complex parameters of functionally graded materials (FGMs) lead to the complicated stress fields, which brings some difficulties for numerical analysis of their fatigue fracture. The complicated fracture problems such as crack propagation can be simulated with the phase-field model without additional fracture criteria. The hybrid phase-field model for FGMs was extended to fatigue fracture problems through introduction of the fatigue function to degrade the fracture energy. The phase-field model for fatigue fracture of FGMs was developed and the driving force for crack propagation was analyzed. The fatigue fracture mechanism that the crack propagation is controlled by the strain energy history, the critical energy release rate and the fatigue degradation function, was revealed. This work offers some guidance for the design of FGM structures.
- functionally graded material,
- phase-field model,
- fatigue,
- fracture

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References(30)

References

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