Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-24T16:45:54.441Z Has data issue: false hasContentIssue false
  • English
  • Français

The prediction of multiaxial fatigue probabilistic stress–life curve by using fuzzy theory

Published online by Cambridge University Press:  04 May 2017

Bochuan Li ,
Chao Jiang ,
Xu Han  and
Yuan Li
Bochuan Li
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City, People's Republic of China Faculty of Engineering, Kyushu University, Nishi-ku, Fukuoka-shi, Fukuoka, Japan
Chao Jiang*
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City, People's Republic of China
Xu Han
Affiliation:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City, People's Republic of China
Yuan Li
Affiliation:
Department of Traffic and Transportation Engineering, College of Basic Education, National University of Defense Technology, Changsha City, People's Republic of China
*
Reprint requests to: Chao Jiang, State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City, People's Republic of China410082. E-mail: jiangc@hnu.edu.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

The fuzziness of the traditional multiaxial fatigue prediction model is discussed and the fuzzy theory is applied into fatigue reliability analysis. The fuzzy linear regression analysis method is used to determine the fuzzy coefficients in the multiaxial stress–life equation under a small sample condition, and the corresponding multiaxial fatigue probabilistic stress–life curve is calculated with different confidence levels.

Keywords

Fuzzy TheoryMultiaxial Fatigue PredictionMultiaxial Probabilistic Stress–Life CurveReliability Analysis
Type
Special Issue Articles
Information
AI EDAM , Volume 31 , Special Issue 2: Uncertainty Quantification for Engineering Design , May 2017 , pp. 199 - 206
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Carpinteri, A., Spagnoli, A., & Vantadori, S. (2009). Multiaxial fatigue life estimation in welded joints using the critical plane approach. International Journal of Fatigue 31(1), 188–196.CrossRefGoogle Scholar
Crossland, B. (1956). Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel. Proc. Int. Conf. Fatigue of Metals, pp. 184–194. London: Institution of Mechanical Engineers.Google Scholar
Dang-Van, K. (1993). Macro-micro approach in high-cycle multiaxial fatigue. In Advances in Multiaxial Fatigue (McDowell, D.L., & Ellis, J.R., Eds.). West Conshohocken, PA: ASTM International.Google Scholar
Findley, W. (1959). A theory for the effect of mean stress on fatigue under combined torsion and axial load or bending. Transactions of the ASME Series B 81, 301–306.Google Scholar
Flaceliere, L., & Morel, F. (2004). Probabilistic approach in high-cycle multiaxial fatigue: volume and surface effects. Fatigue & Fracture of Engineering Materials & Structures 27(12), 1123–1135.CrossRefGoogle Scholar
Johnson, W. (1973). Engineering Plasticity. New York: Van Nostrand Reinhold.Google Scholar
Karolczuk, A., & Macha, E. (2005). A review of critical plane orientations in multiaxial fatigue failure criteria of metallic materials. International Journal of Fracture 134(3–4), 267–304.Google Scholar
Liu, Y., & Mahadevan, S. (2005). Multiaxial high-cycle fatigue criterion and life prediction for metals. International Journal of Fatigue 27(7), 790–800.CrossRefGoogle Scholar
Liu, Y., & Mahadevan, S. (2007). A unified multiaxial fatigue damage model for isotropic and anisotropic materials. International Journal of Fatigue 29(2), 347–359.CrossRefGoogle Scholar
Matake, T. (1977). An explanation on fatigue limit under combined stress. Bulletin of the JSME 20(141), 257–263.CrossRefGoogle Scholar
McDiarmid, D. (1987). Fatigue under out-of-phase bending and torsion. Fatigue & Fracture of Engineering Materials & Structures 9(6), 457–475.Google Scholar
Ninic, D., & Stark, H.L. (2007). A multiaxial fatigue damage function. International Journal of Fatigue 29(3), 533–548.Google Scholar
Papadopoulos, I.V. (1994). A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals. International Journal of Fatigue 16(6), 377–384.Google Scholar
Papadopoulos, I.V. (2001). Long life fatigue under multiaxial loading. International Journal of Fatigue 23(10), 839–849.CrossRefGoogle Scholar
Papadopoulos, I.V., Davoli, P., Gorta, C., Filippini, M., & Bernasconi, A. (1997). A comparative study of multiaxial high-cycle fatigue criteria for metals. International Journal of Fatigue 19(3), 219–235.Google Scholar
Sines, G. (1959). Behavior of metals under complex static and alternating stresses. In Metal Fatigue (Sines, G., & Waisman, J.L., Eds.), pp. 145–169. New York: McGraw-Hill.Google Scholar
Tanaka, H., Satoru, U., & Asai, K. (1982). Linear regression analysis with fuzzy model. IEEE Transactions on Systems, Man, & Cybernetics 12, 903–907.Google Scholar
Van, K.D. (1999). Introduction to fatigue analysis in mechanical design by the multiscale approach. In High-Cycle Metal Fatigue (Van, K.D., & Papadopoulos, I.V., Eds.), pp. 57–88. Berlin: Springer.CrossRefGoogle Scholar
Van, K.D., & Griveau, B. (2013). On a new multiaxial fatigue limit criterion: theory and application. In Biaxial and Multiaxial Fatigue (Brown, M.W., & Miller, K.J., Eds.), pp. 479–496. London: Mechanical Engineering Publications.Google Scholar
Van, K.D., Cailletaud, G., Flavenot, J.F., Le Douaron, A., & Lieurade, A.H.P. (2013). Criterion for high-cycle fatigue failure under multiaxial loading. In Biaxial and Multiaxial Fatigue (Brown, M.W., & Miller, K.J., Eds.), pp. 459–478. London: Mechanical Engineering Publications.Google Scholar
Wang, Y.-Y., & Yao, W-.X. (2004). Evaluation and comparison of several multiaxial fatigue criteria. International Journal of Fatigue 26(1), 17–25.CrossRefGoogle Scholar
Yuge, D. (2001). Design of Mechanical Fuzzy Reliability [M]. Beijing: China Machine Press [in Chinese].Google Scholar
Zhang, C.C. (2011). Fatigue life prediction of structures in HCF region under complex stress field. PhD Thesis, Nanjing University of Aeronautics and Astronautics [in Chinese].Google Scholar
Zhang, C.C., & Yao, W.-X. (2011). An improved multiaxial high-cycle fatigue criterion based on critical plane approach. Fatigue & Fracture of Engineering Materials & Structures 34(5), 337–344.Google Scholar