A New Model for Fatigue Life Distribution of Concrete


Article Preview

Based on the S-N relationship and statistical property of concrete static strength, a function of fatigue life of concrete,1 (a − blog N) , is found to follow the normal distribution. Thus a new probabilistic model of fatigue life distribution of concrete is presented in this paper. The model connects statistical properties of static strength and fatigue life of concrete together in theory, so it is of clear physical meaning. An experiment was conducted. The experiment was a part of the project of The State Natural Science Foundation—Failure Criterion of Plain Concrete Under Multiaxial Fatigue Loading. 2 χ -test and Kolmogorov-Smirnov test are employed to test the proposed model. Fuzzy optimization is used to compare the model with lognormal distribution. 2 χ -test, Kolmogorov-Smirnov test and fuzzy optimization are also conducted for test data from references. The results show that the new model is more flexible to fit test data.



Key Engineering Materials (Volumes 348-349)

Edited by:

J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel




D. F. Zhao et al., "A New Model for Fatigue Life Distribution of Concrete", Key Engineering Materials, Vols. 348-349, pp. 201-204, 2007

Online since:

September 2007




[1] Oh B. H. Fatigue analysis of plain concrete in flexure. J. Struct. Eng Am. Soc. Civ. Engs. 1986, No. 2, P. 112.

[2] Norby G. N. Fatigue of concrete. A review of research. J. Am. Concr. Inst., 1958, 30, No. 2.

[3] Li Jinghua and Li Guo. A new method for estimating fatigue life distribution law of concrete. J. Dalian University of Technology, 1997, 37, Suppl. 1 P. 115.

[4] Byung Hwah Oh. Fatigue-life diatribution of concrete for various stress levels. ACI Materials Journal, 1991. P122.

[5] X.P. Shi and T.F. Fwa. Flexural fatigue strength of plain concrete. ACI Materials Journal, 1993. P. 435.

[6] D. Yang. A distribution function for the fatigue life of concrete. Magazine of Concrete Research, 1994, 46, No. 168. P. 215.

[7] Enrique Castillo and Alfonso Fernandez-Canteli. A general regression model for lifetime evaluation and prediction. International Journal of Fracture, 2001, 107, No. 2. P. 117.

[8] Engelhardt M. On simple estimation of parameters of the Weibull or Extreme-value distribution. Technometrics, 1975, 17. P. 369.

DOI: https://doi.org/10.2307/1268076

[9] A.C. Bajpai and I.M. Calus. Statistical methods for engineers and scientists. John Wiley and Sons. New York. 1979, P. 243.

[10] Benjamin, Jack R., and Cornell, C. Allin. Probability, statistics, and dicision for civil engineers. McGraw Hill, New York, 1970, P. 684.

[11] Chen Shouyu. Multiobjective decision making theory and application of neural network with fuzzy optimum selection. The Journal of Fuzzy Mathematics. 1998, 6. No. 4 P. 957 results from test of this paper results from test of reference [6] Stress level.

[9] 0=S Stress level.

[85] 0=S Stress level.

[85] 0=S Stress level.

[75] 0=S 2 χ 2 1, 05. 0χ.


[5] 991.


[5] 991.

[2] 983.

[3] 841.

[1] 269.

[3] 841 D nD , 05. 0.








234 ku lu.









Fetching data from Crossref.
This may take some time to load.