Effect of the mean strength on the endurance limit or the crack growth threshold and the associated probability distributions
Xiong, J.-J., Shenoi, R.A. and Zhang, Y. (2008) Effect of the mean strength on the endurance limit or the crack growth threshold and the associated probability distributions. Journal of Strain Analysis for Engineering Design, 43, (4), 243-258. (doi:10.1243/03093247JSA336).
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Two new phenomenological expressions for generalized constant life curves are developed based on the traditional fatigue constant life curve. Parameter estimation formulas of generalized constant life curve are obtained from the standard procedure for regression analysis. From the generalized constant life curves proposed, two-dimensional joint probability distributions of generalized strength are derived. Finally, the methods developed are used to analyze three sets of experimental data pertaining to the two-dimensional up-and-down tests for LY11 A-alloy and fracture threshold tests for A-alloy and alloyed-steel in order to verify the practicability and validity of the new approaches. These matters have an important role in fatigue and fracture reliability analysis in ultra-long life regions and need to be resolved.
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