13th International Conference on Fracture June 16–21, 2013, Beijing, China -6- Tab.1 Grade of each evaluation factors 1v 2v 3v 4v 5v 1c excellent good average bad worse 2c excellent good average bad worse 3c excellent good average bad worse 4.4 Create the array of degree of membership By the evolution of experts and technical staffs, array of degree of membership should be created as follows: 0.10 0.45 0.30 0.10 0.05 0.05 0.50 0.35 0.05 0.05 0.05 0.10 0.25 0.45 0.15 R ⎛ ⎞ ⎜ ⎟ = ⎜ ⎟ ⎜ ⎟ ⎝ ⎠ According to (6) and (8) formula, we can get: ( ) 0.010, 0.511, 0.322, 0.139, 0.018 u= . So the fatigue life is: 5 1 2024965 j j j N u N = = = ∑ times. 5. Conclusion In this paper, we propose an analysis model of fatigue life which is based on fuzzy theory. If we can combine it with actual construction situation, combine the fuzzy theory with crack mechanics, and we consider the fuzziness of factors which affect fatigue life, we can get a more accurate calculation result, and offer reference for fatigue life analysis. 6. Reference Journal article: [1] ASCE. Committee on fatigue and fracture reliability of the committee on structural safety and reliability of the structural division, fatigue reliability. J Struct Eng ASCE. 1982, 108. [2] Degrauwe D, Roeck GD, Lombaert G. Uncertainty quantification in the damage assessment of a cable-stayed bridge by means of fuzzy numbers. Computers & Structures, 2009, 87(17):1077-1084. [3] Wang Xuliang, N ieHong. A Study of the Fuzziness in Fatigue Life Estimation. Mechanical Science and Technology for Aerospace Engineering. 2008, 27(9). [4] Muc A. A fuzzy set approach to interlaminar cracks simulation problems. International Journal of Fatigue. 2002, 24. [5] CHI Sho-yan,HONG Ming,ZHAO De-you.Fuzzy Assessment of Fatigue Life for Plate Joints.China Offshore Platform. 2002, 17(6).
RkJQdWJsaXNoZXIy MjM0NDE=