Weibull Equation Research Articles

Some problems relating to the heat resistance of a continuous (solid) cylinder

1. We have considered the special aspects involved in determining heat resistance by using samples in the form of solid discs and cylinders. 2. We have obtained equations for calculating the mode factor and a quantity allowing for the form of the stress distribution in the Weibull equations in the case of the sharp heating of a solid disc or cylinder. 3. We have considered the special features involved in comparing the strength and heat resistance of materials differing substantially in homogeneity. 4. We have compared the results of calculations based on the proposed equations with exper imental data secured in annular samples of various sizes. The experimental results relating to the determination of heat resistance may most conveniently be expressed in the form of a criterion which allows for the statistical character of the strength of brittle materials.

Monte Carlo Evaluation and Development of Weibull Analysis Techniques

Monte Carlo simulation studies have been conducted to provide improved techniques for fatigue data analysis with the Weibull equation. Three methods of estimating the Weibull parameters were evaluated by empirically measuring the bias associated with each method when used on data from small samples. Various methods of treating suspended data were similarly compared. Confidence bands were then developed on the basis of empirical measurements of the random dispersion of sample data from simulated Weibull populations. The results of the studies, examples of the confidence bands, and an example of their use is presented. Contributed by the ASLE Technical Committee on Bearings and Bearing Lubrication and presented at the Annual Meeting of the American Society of Lubrication Engineers held in Pittsburgh, Pa., May 3–5, 1966.