Meso-scale probabilistic model of fatigue crack nucleation life

被引:0
作者
Zhou J.-Y. [1 ]
Xie L.-Y. [2 ]
Zhu F.-X. [1 ]
Han W.-Q. [1 ]
机构
[1] Changzhou Hi-Tech Key Laboratory of Equipment Remanufacture, Jiangsu University of Technology, Changzhou, 213001, Jiangsu
[2] School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, Liaoning
来源
Binggong Xuebao/Acta Armamentarii | 2016年 / 37卷 / 02期
关键词
Crack nucleation life; Fatigue; Meso-scale; Probability analysis; Solid mechanics;
D O I
10.3969/j.issn.1000-1093.2016.02.017
中图分类号
学科分类号
摘要
Crack nucleation is an initial stage of damage evolution for high cycle fatigue of metallic material. Based on the Tanaka-Mura crack nucleation mechanism, a meso-scale probabilistic model is proposed for the analysis of surface crack nucleation life under constant amplitude loading. Let the grain size and Euler angle of crystal orientation be random variables, and the relationship between meso-scale principal stress and resolved shear stress is established by means of the Schmidt factor in the most possible sliding direction. The distribution function of resolved shear stress range is derived in consideration of grain orientation randomness and influence factors of nearest-neighbor grains. Furthermore, the probability density functions of crack nucleation lifes in any grain and grain group at the hotspot are derived by means of the moment method and order statistics models. A numerical example is given to show the feasibility and rationality of the proposed model and approach. The proposed model introduces probability statistic information of physical and geometrical variables on meso-scale, which can give a new path for probabilistic fatigue life assessment and anti-fatigue probabilistic design of polycrystalline metals structures. © 2016, China Ordnance Society. All right reserved.
引用
收藏
页码:307 / 316
页数:9
相关论文
共 19 条
[1]  
Zhang X.-L., Chen X.-F., Li B., Et al., Review of life prediction for mechanical major equipments, Journal of Mechanical Engineering, 47, 11, pp. 100-116, (2011)
[2]  
Wang L., Wang Z., Song X.-G., Et al., Review on theory and life prediction methods of short fatigue cracks, Journal of Mechanical Strength, 34, 4, pp. 597-603, (2012)
[3]  
Baldissera P., Delprete C., The formal analogy between Tanaka-Mura and Weibull models for high-cycle fatigue, Fatigue & Fracture of Engineering Materials & Structures, 35, 2, pp. 114-121, (2011)
[4]  
Bai Y.-L., Wang H.-Y., Xia M.-F., Et al., Statistical mesomechanics of solid, linking coupled multiple space and time scales, Advances in Mechanics, 36, 2, pp. 286-305, (2006)
[5]  
Chan K.S., Roles of microstructure in fatigue crack initiation, International Journal of Fatigue, 32, 9, pp. 1428-1447, (2010)
[6]  
An H., An W.-G., Gu Y.-W., Fatigue reliability analysis of truss structure based on stiffness decay, Acta Armamentarii, 28, 12, pp. 1478-1482, (2007)
[7]  
Tanaka K., Mura T., A dislocation model for fatigue crack initiation, Journal of Applied Mechanics, 48, 1, pp. 97-103, (1981)
[8]  
Yu Y.-N., Liu G.-Q., Stereology, (1989)
[9]  
Mura T., Nakasone Y., A theory of fatigue crack initiation in solid, Journal of Applied Mechanics, 57, 1, pp. 97-103, (1990)
[10]  
Tryon R.G., Animesh D., Ganapathi K., Et al., Microstructural-based physics of fatigue models to predict fatigue reliability, Journal of the IEST, 50, 2, pp. 73-84, (2007)