13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- 0 0.3 0.6 0.9 1.2 1.5 0 0.25 0.5 0.75 1 a/t a/c α0=2.5 α0=1 α0=0.8 α0=0.6 α0=0.4 α0=0.2 Fig. 6. α~β curve during the crack growth process Acknowledgements The financial support of the National Nature Science Foundation of China, Grant NO.11072205, is gratefully acknowledged. We are also grateful for the valuable assistance of Key Laboratory of Strength and Vibration, the SWJTU Laboratory. References [1] Newman, Jr J.C., Raju, I.S., 1981. An empirical stress intensity factor equation for the surface crack. Journal of Engineering Fracture Mechanics, 15(1-2):185-192. [2] Smith, R.A., Cooper, J.F., 1989.A finite element model for the shape development of irregular planar cracks. .International Journal of Pressure Vessel and Piping. 36(04):315-326. [3] Den Jiangang, Jiang Heyang, Li Zailiang, 2003. Boundary Element Numerical Simulation of Three-Dimensional Crack-Growth Trajectory. Chinese Journal of Applied Mechanics. 20(02):49-53.(in Chinese) [4] Feng Xiqiao, He Shuyan, 1997. Continuum damage mechanics method for fatigue growth of surface cracks. Journal of Tsinghua University(Sci & Tech). 37(05):78-82.(in Chinese) [5] Masanori Kikuch, Yoshitaka Wada, Kazuhiro Suga, 2011. Surface crack growth simulation under mixed mode cyclic loading condition. Journal of Procedia Engineering. 10:427-432. [6] Song P.S., Sheu B.C., Shieh Y.L., 2002. Prediction of semi-elliptical surface crack growth in 2024-T4 aluminium alloy. International Journal of Pressure Vessels and Piping. 79(4):273-278. [7] Liu Yanping, Chen Chuanyao, Li Guoqing, Li Jianbing, 2010. Fatigue life prediction of semi-elliptical surface crack in 14MnNbq bridge steel. Journal of Engineering Failure Analysis. 17(6):1413-1423. [8] Paris, P.C., Erdogan, F., 1963. A critical analysis of crack propagation laws. Trans. ASME, Journal of Basic Engineering, 85D: 528-34. [9] Cui Weicheng, 2002. Relation between crack growth rate curve and S-N curve for metal fatigue. Journal of ship mechanics. 6(6):93-105. [10] Castro J.T.P., 2005. Singluar and non-singular approaches for predicting fatigue crack growth behavior. International Journal of Fatigue. 27(10-12): 1366-1388. [11] Li D.M., Nam W.J,, Lee C.S., 1998. An improvement on prediction of fatigue crack growth from low cycle fatigue properties. Journal of Engineering Fracture Mechanics. 60(4): 397-406. [12] Ramsamooj D.V., 2003. Analytical prediction of fatigue crack propagation in metals. Journal of Engineering Propagation Mechanics. 129(6): 672-682. [13] Chen Long, Cai Lixun, Yao Di, 2012. Study on the FCG prediction model based on material’s LCF damage. Journal of Applied Mechanics and Materials. 117-119:38-42.
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