{"title":"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","authors":"Fuming Bao, Junling Fan, Bingzhi Chen, Yanguang Zhao, Xinglin Guo","doi":"10.1007/s00419-024-02700-8","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 12","pages":"3881 - 3900"},"PeriodicalIF":2.2000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modelling the notch-induced anomalous growth of short fatigue cracks and the growth of long fatigue cracks with unified phase-field formulas\",\"authors\":\"Fuming Bao, Junling Fan, Bingzhi Chen, Yanguang Zhao, Xinglin Guo\",\"doi\":\"10.1007/s00419-024-02700-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"94 12\",\"pages\":\"3881 - 3900\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-024-02700-8\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-024-02700-8","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Modelling the notch-induced anomalous growth of short fatigue cracks and the growth of long fatigue cracks with unified phase-field formulas
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.
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.
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