Modelling the notch-induced anomalous growth of short fatigue cracks and the growth of long fatigue cracks with unified phase-field formulas

IF 2.2 3区工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-09-24 DOI:10.1007/s00419-024-02700-8

Fuming Bao, Junling Fan, Bingzhi Chen, Yanguang Zhao, Xinglin Guo

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Abstract

The notch-induced anomalous growth of short fatigue cracks is investigated by the variational approach to fracture. The phase-field framework is extended to model the notch-induced anomalous growth of short cracks in metal components. The phase-field model is based on (1) the variational principle of fractures in elastic–plastic solids, (2) an elastic-perfectly plastic constitutive model and (3) a fatigue degradation function, with damage driven by plastic work. The notch-induced anomalous growth observed in experiments is reproduced by the present model. Our study suggests that the notch-induced anomalous growth of short fatigue cracks can be correlated with the growth of long fatigue cracks with the unified phase-field model. Furthermore, the plastic work done in the plastic zone ahead of a crack tip can be considered as the unified driving force dominating both the notch-induced anomalous growth of short fatigue cracks and the growth of long fatigue cracks.

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用统一相场公式模拟缺口诱发的短疲劳裂纹异常增长和长疲劳裂纹增长

通过断裂变分法研究了缺口诱发的短疲劳裂纹异常增长。相场框架被扩展用于模拟金属部件中缺口诱发的短裂缝异常增长。相场模型基于：(1) 弹塑性固体断裂的变分原理；(2) 弹性-完全塑性构造模型；(3) 疲劳降解函数，损伤由塑性功驱动。本模型再现了实验中观察到的缺口诱发的异常增长。我们的研究表明，缺口诱发的短疲劳裂纹异常增长与统一相场模型下的长疲劳裂纹增长是相关的。此外，裂纹尖端前方塑性区所做的塑性功可被视为支配缺口诱发的短疲劳裂纹异常增长和长疲劳裂纹增长的统一驱动力。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.