Abstract
Experimental study is performed on the probabilistic models for the long fatigue crack growth rates (da/dN) of LZ50 axle steel. An equation for crack growth rate was derived to consider the trend of stress intensity factor range going down to the threshold and the average stress effect. The probabilistic models were presented on the equation. They consist of the probabilistic da/dN-ΔK relations, the confidence-based da/dN-ΔK relations, and the probabilistic- and confidence-based da/dN-ΔK relations. Efforts were made respectively to characterize the effects of probabilistic assessments due to the scattering regularity of test data, the number of sampling, and both of them. These relations can provide wide selections for practice. Analysis on the test data of LZ50 steel indicates that the present models are available and feasible.
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Communicated by Wang Ying-bang
Project supported by the National Natural Science Foundation of China (Nos. 50375130 and 50323003), the Special Foundation of National Excellent Ph. D. Thesis (No. 200234) and the Planned Item for the Outstanding Young Teachers of Ministry of Education of China (No. 2101)
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Yong-xiang, Z., Chao-ming, H., Bing, Y. et al. Probabilistic models for long fatigue crack growth rates of LZ50 axle steel. Appl Math Mech 26, 1093–1099 (2005). https://doi.org/10.1007/BF02466423
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DOI: https://doi.org/10.1007/BF02466423