Meso-scale Probabilistic Model of Fatigue Crack Nucleation Life

doi:10.3969/j.issn.1000-1093.2016.02.017

Abstract

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

CLC Number:

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.

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