疲劳裂纹形核寿命的细观概率模型

doi:10.3969/j.issn.1000-1093.2016.02.017

兵工学报 ›› 2016, Vol. 37 ›› Issue (2): 307-316.doi: 10.3969/j.issn.1000-1093.2016.02.017

疲劳裂纹形核寿命的细观概率模型

周金宇¹，谢里阳²，朱福先¹，韩文钦¹

(1.江苏理工学院常州市装备再制造工程高技术重点实验室，江苏常州 213001； 2.东北大学机械工程与自动化学院，辽宁沈阳 110004)

收稿日期:2015-07-09 修回日期:2015-07-09 上线日期:2016-04-22
作者简介:周金宇(1973—)，男，教授，硕士生导师
基金资助:
国家自然科学基金项目（51275221）；江苏省产学研联合创新资金项目(BY2014038-04）

Meso-scale Probabilistic Model of Fatigue Crack Nucleation Life

ZHOU Jin-yu¹, XIE Li-yang², ZHU Fu-xian¹, HAN Wen-qin¹

(1.Changzhou Hi-tech Key Laboratory of Equipment Remanufacture, Jiangsu University of Technology,Changzhou 213001, Jiangsu, China; 2.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, Liaoning, China)

Received:2015-07-09 Revised:2015-07-09 Online:2016-04-22

摘要/Abstract

摘要： 裂纹形核是结构疲劳损伤演化的初级阶段。基于Tanaka-Mura微裂纹形核机制，提出恒幅交变载荷下结构表面疲劳裂纹形核寿命的细观概率模型。设细观尺度的晶粒尺寸、晶粒取向欧拉角为随机变量，借助Schmidt因子建立细观主应力与分解切应力之间的关系。考虑到晶粒取向随机性和紧邻晶粒影响因素，导出分解切应力变程的概率分布。进一步运用矩法和次序统计量模型获得任一晶粒中疲劳裂纹形核寿命和结构热区晶粒群多裂纹分散形核寿命的概率分布。数值算例验证了所提模型与方法的可行性和合理性。新模型在裂纹形核寿命研究中引入了细观物理参数和几何参数的概率统计信息，可为多晶体金属结构件的疲劳可靠性评估和抗疲劳概率设计开辟精细化分析的新途径。

关键词: 固体力学, 疲劳, 裂纹形核寿命, 细观尺度, 概率分析

Abstract: 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.

Key words: solid mechanics, fatigue, crack nucleation life, meso-scale, probability analysis

中图分类号:

周金宇，谢里阳，朱福先，韩文钦. 疲劳裂纹形核寿命的细观概率模型[J]. 兵工学报, 2016, 37(2): 307-316.

ZHOU Jin-yu, XIE Li-yang, ZHU Fu-xian, HAN Wen-qin. Meso-scale Probabilistic Model of Fatigue Crack Nucleation Life[J]. Acta Armamentarii, 2016, 37(2): 307-316.

参考文献

［1］张小丽, 陈雪峰, 李兵, 等. 机械重大装备寿命预测综述[J]. 机械工程学报, 2011, 47(11):100-116.
ZHANG Xiao-li, CHEN Xue-feng, LI Bing, et al.Review of life prediction for mechanical major equipments[J]. Journal of Mechanical Engineering, 2011, 47(11):100-116.(in Chinese)
[2］王璐, 王正, 宋希庚, 等. 疲劳断裂纹理论及寿命预测新方法[J]. 机械强度, 2012, 34(4):597-603.
WANG Lu, WANG Zheng, SONG Xi-geng, et al. Review on theory and life prediction methods of short fatigue cracks[J]. Journal of Mechanical Strength, 2012, 34(4):597-603. (in Chinese)
[3］ Baldissera P, Delprete C. The formal analogy between Tanaka-Mura and Weibull models for high-cycle fatigue[J]. Fatigue & Fracture of Engineering Materials & Structures, 2011, 35(2):114-121.
[4］白以龙, 汪海英, 夏蒙棼, 等. 固体力学的统计细观力学——连接多个耦合的时空尺度[J]. 力学进展， 2006, 36(2):286-305.
BAI Yi-long，WANG Hai-ying, XIA Meng-fen, et al. Statistical mesomechanics of solid, linking coupled multiple space and time scales[J]. Advances in Mechanics, 2006, 36(2): 286-305. (in Chinese)
[5］ Chan K S. Roles of microstructure in fatigue crack initiation [J]. International Journal of Fatigue, 2010, 32(9):1428-1447.
[6] 安海, 安伟光, 顾永维. 基于刚度衰减下的桁架系统的疲劳可靠性分析[J]. 兵工学报, 2007, 28(12):1478-1482.
AN Hai, AN Wei-guang, GU Yong-wei. Fatigue reliability analysis of truss structure based on stiffness decay[J]. Acta Armamentarii, 2007, 28(12):1478-1482. (in Chinese)
[7］ Tanaka K, Mura T. A dislocation model for fatigue crack initiation[J]．Journal of Applied Mechanics, 1981, 48(1): 97-103.
[8］余永宁, 刘国权. 体视学[M]. 北京:冶金工业出版社, 1989.
YU Yong-ning, LIU Guo-quan. Stereology[M]. Beijing: Metallurgical Industry Press, 1989. (in Chinese)
[9］ Mura T, Nakasone Y. A theory of fatigue crack initiation in solid[J]．Journal of Applied Mechanics, 1990, 57(1):97-103.
[10］ Tryon R G, Animesh D, Ganapathi K, et al. Microstructural-based physics of fatigue models to predict fatigue reliability[J]．Journal of the IEST, 2007, 50(2):73-84.
[11］ Tryon R G, Cruse T A.A reliability-based model to predict scatter in fatigue crack nucleation life[J]. Fatigue & Fracture of Engineering Materials & Structures, 1998, 21(3):257-267.
[12］黄争鸣. 复合材料细观力学引论[M]. 北京:科学出版社, 2004.
HUANG Zheng-ming.Introduction of composite materials mechanics[M]. Beijing: Science Press, 2004. (in Chinese)
[13］ Sauzay M, Jourdan T. Polycrystalline microstructure, cubic elasticity, and nucleation of high-cycle fatigue cracks[J]. International Journal of Fracture, 2006, 141(5):431-446.
[14］ Guilhem Y, Basseville S, Curtit F, et al. Investigation of the effect of grain clusters on fatigue crack initiation in polycrystals[J]. International Journal of Fatigue, 2010, 32(10):1748-1763.
[15］林政, 刘旻. 具有立方晶系结构的多晶体材料的弹性常数—Y弹性常数[J]. 物理学报, 2009, 58(6):4096-4102.
LIN Zheng, LIU Min.The elastic constants of polycrystalline materials with cubic system structural single crystals[J]. Acta Physica Sinica, 2009, 58(6):4096-4102. (in Chinese)
[16］乔宇, 洪友士. 短裂纹群体行为及疲劳寿命预测[J]. 力学进展, 1997, 27(4):58-72.
QIAO Yu, HONG You-shi.Collective behavior of short cracks and fatigue life prediction[J]. Advances in Mechanics, 1997, 27(4): 58-72. (in Chinese)
[17] 孙宾，李兆霞. 描述微裂纹成核与扩展的疲劳损伤多尺度模型及其应用[J].东南大学学报，2014, 44(2): 333-338.
SUN Bin, LI Zhao-xia. Multi-scale fatigue damage model for micro-cracks nucleation and growth and its application[J]. Journal of Southeast University, 2014, 44(2):333-338. (in Chinese)
[18］谢里阳, 王正, 周金宇, 等. 机械可靠性基本理论与方法[M]. 北京:科学出版社, 2012.
XIE Li-yang, WANG Zheng, ZHOU Jin-yu, et al. Basictheories and methods of mechanical reliability[M]. Beijing: Science Press, 2012. (in Chinese)
[19］ Kramberger J, Jezernik N, Glodez S. Extension of the Tanaka-Mura model for fatigue initiation in thermally cut martensitic steels[J]. Engineering Fracture Mechanics, 2010, 77(10): 2040-2050.

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疲劳裂纹形核寿命的细观概率模型

Meso-scale Probabilistic Model of Fatigue Crack Nucleation Life

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