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《ACTA MECHANICA SINICA》 1998-05
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A STOCHASTIC MODEL FOR EVOLUTION OF COLLECTIVE SHORT-FATIGUE-CRACKS BASED ON LOCAL FIELD ANALYSIS 1)

Qiao Yu Hong Youshi (Lab for Nonlinear Mechanics of Continuous Media (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China) 1) The project supported by the National Outstanding Youth Scientific Award of Chi  
It has been observed that, the evolution process of short fatigue cracks in some metallic materials presents collective damage characteristics The cumulation of the damage is produced by a number of short fatigue cracks The extent of damage is not dependent on a single crack, but on the whole response of total short cracks For this situation, we adopted the method of the balance of crack number density to describe such an evolutionary process The basic consideration of the model is that, at a certain time duration, the number of cracks with a given length is due to two aspects: (a) crack nucleation, and (b) crack growth In the previous study, the evolution of short cracks is considered uniform throughout the gauge area of a specimen However, during a fatigue damage process, the initiation and the growth of short cracks are always randomly distributed In some local areas, short cracks may densely appear; simultaneously, there may exist some other areas even without any short crack damage In this paper, the development of collective damage for short fatigue cracks in different local fields of metallic materials is described by local crack numerical density By considering the influence of the local damage and the stochastic fluctuation of local material properties on the evolution of total extent of damage, the evolution equation of local crack numerical density is established The process of short crack fatigue damage is simulated by solving the evolution equation numerically The results demonstrate the stochastic distribution of short crack growth, which imply that fast damage development area in the beginning stage may not be the location of a main crack, whereas the local area with slow speed of damage development at the beginning may form a main crack leading to final fracture In addition, with the progression of fatigue process, the difference between the mean-field theory and the stochastic analysis becomes evident, showing the value of the maximum crack length in the whole field obtained by the mean-field theory being larger than that obtained by the stochastic analysis The characteristics of statistical development for the maximum crack length and the total number of cracks are further discussed
【Fund】: 国家杰出青年科学基金 国家自然科学基金 中科院资助
【CateGory Index】: O346.2
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【References】
Chinese Journal Full-text Database 5 Hits
1 WANG Lu WANG Zheng YU Miao(School of Energy and Power Engineering,Dalian University of Technology,Dalian 116023,China);EXPERIMENTAL STUDY AND NUMERICAL SIMULATION ON COALESCENCE AND INTERFERENCE OF SHORT CRACKS FOR LOW CYCLE FATIGUE AT HIGHT TEMPERATURE[J];机械强度;2008-04
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 HE XueHong DONG GuangCheng HUI Li (School of Mechanical and Automation, Northeast University, Shenyang 110004,China);SIMULATION OF THE MULTI-MICRO CRACKS’ EVOLUTION UNDER THE METHOD OF MONTE CARLO[J];机械强度;2005-05
2 LV Wen-ge,LUO Shao-ming (Faculty of Electronmechanical Engineering,Guangdong University of Technology,Guangzhou 510090,China);A Description of Propagation of Short Fatigue Crack[J];广东工业大学学报;2005-03
3 LIANG Da kai,YANG Hong (The Aeronautic Science Key Laboratory for Smart Material and Structure,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China);Research on Self-diagnose and Self-repair Net in Smart Composite Structure by Hollow-center Optic Fiber[J];压电与声光;2002-04
4 LI Jin-quan (Nanjing University of Science and Technology, Nanjing 210094 China) FU Xi-an (Benxi Iron and Steel Co., Benxi 117000,China);The study on the feature of fatigue short crack[J];冶金标准化与质量;2001-06
5 GUO Jun GUO Chengbi (Department of Power Engineering, Dalian University of Technology, Dalian 116023, China);DEVELOPMENT ON EVALUATING METHOD OF SHORT FATIGUE CRACKS[J];机械强度;2001-01
6 LIU Yan\|li, ZHONG Qun peng, ZHANG Zheng (Department of Materials Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing\ 100083, China);PREDICTIVE MODEL BASED ON ARTIFICIAL NEURAL NET FOR FATIGUE PERFORMANCES OF PRIOR-CORRODED ALUMINUM ALLOYS[J];航空学报;2001-02
7 Yu Xiaoli,Shen Yuming,Qi Fang ,Yan Zhaoda (Zhejiang University);Thermal Fatigue of Pistons -Temperature Distribution Simulation System[J];内燃机工程;2000-04
8 Bai Jie; Xia Mengfen; Ke Fujiu; Bai Yilong (LNM, Institute of Mechanics, CAS, Beijing 100080, China) (Department of Physics, Peking University, Beijing 100871, China) (Beijing Univ. of Aero. and Astr., Beijing 100083, China);PROPERTIES OF THE STATISTICAL DAMAGE EVOLUTION EQUATION AND ITS NUMERICAL SIMULATION[J];力学学报;1999-01
9 Qiao Yu Hong Youshi (Lab for Nonlinear Mechanics of Continuous Media (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China) 1) The project supported by the National Outstanding Youth Scientific Award of Chi;A STOCHASTIC MODEL FOR EVOLUTION OF COLLECTIVE SHORT-FATIGUE-CRACKS BASED ON LOCAL FIELD ANALYSIS 1)[J];力学学报;1998-05
10 Zhang Weizheng Xue Jianqing Wu Sijin Wei Chunyuan Cai Zhengqing(Beijing Institute of Technology);A Study on Test Life Modification of Heated Components of I.C. Engines after the Accelerating Thermal Fatigue Test[J];内燃机学报;1998-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 YANG DaPeng;WANG JunJie;YANG XinHua;ZHAO Yao;School of Civil Engineering & Mechanics,Post Doctoral Mobile Station of Mechanical department,Huazhong University of Science and Technology;Department of Mechanical Engineering,Zhengzhou Technical College;School of Naval Architecture & Ocean Engineering,Huazhong University of Science and Technology;;STUDY ON CRACK PROPAGATION RATE UNDER FATIGUE LOAD[J];机械强度;2017-01
2 YANG DaPeng;WANG JunJie;ZHAO Yao;LI TianYun;Department of Mechanical Engineering,Zhengzhou Technical College;School of Naval Architecture & Ocean Engineering,Huazhong University of Science and Technology;;IMPACT OF HARDENING ON J INTEGRAL AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS[J];机械强度;2016-05
3 ZENG Tao;CHEN Yan-qiang;LUO Yun-rong;LIN Hai-bo;College of Mechanical Engineering,Sichuan University of Science and Engineering;Key Lab in Sichuan Colleges on Industry Process Equipments and Control Engineering,Sichuan University of Science and Engineering;;High strain extremely low cycle fatigue properties of 16MnR steel[J];钢铁研究学报;2016-04
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5 YANG DaPeng;WANG JianXun;ZHAO Yao;Zheng Zhou Technical College,Mechanical Engineering Department;Huazhong University of Science and Technology,School of Naval Architecture & Ocean Engineering;Huazhong University of Science and Technology,School of Naval Architecture&Ocean Engineering;;IMPACT OF HARDENING ON PLASTICITY AREA AT THE SLIGHTLY CURVED ELASTICITY-PLASTICITY CRACK TIP UNDER QUASI-STATIC LOADS[J];机械强度;2015-03
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7 WANG Zheng,LIU Jian-xiong,WANG Lu,XIE Wei-yun(School of Energy and Power Engineering,Dalian University of Technology,Dalian 116024,China);Application of improved back-propagation neural network to short fatigue crack evolution[J];材料科学与工艺;2012-06
8 QIN Zhao-ju1,2,YUAN Yan-peng1(1.School of Mechanical and Vehicular Engineering,Beijing Institute of Technology,Beijing 100081,China;2.North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China);Analysis and Improvement for Failure of Engine Piston Crown[J];煤矿机械;2012-10
9 WANG Lu WANG Zheng SONG XiGeng WANG Kui ZHAO ZiHao (School of Energy and Power Engineering,Dalian University of Technology,Dalian 116023,China);REVIEW ON THEORY AND LIFE PREDICTION METHODS OF SHORT FATIGUE CRACKS[J];机械强度;2012-04
10 QIN Zhao-ju1,2, YUAN Yan-peng2 (1.North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou City, Henan Province 450011,China; 2. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China);Reasons for Thermal Damage of Engine Piston Head and Its Preventive Measures[J];农业装备与车辆工程;2012-05
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