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Weibull Analysis of Mechanical Data for Castings II: Weibull Mixtures and Their Interpretation

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Abstract

The interpretation of Weibull probability plots of mechanical testing data from castings was discussed in Part 1 (M. Tiryakioğlu, J. Campbell: Metall. Mater. Trans. A, 41 (2010) 3121-3129). In Part II, details about the mathematical models of Weibull mixtures are introduced. The links between the occurrence of Weibull mixtures and casting process parameters are discussed. Worked examples are introduced in five case studies in which six datasets from the literature were reanalyzed. Results show that tensile and fatigue life data should be interpreted differently. In tensile data, Weibull mixtures are due to two distinct defect distributions, namely “old” and “young” bifilms, which are a result of prior processing and mold filling, respectively. “Old” bifilms are the predominant defect and result in the lower distribution, whereas “young” bifilms results on the upper distribution. In fatigue life data, Weibull mixtures are due to two failure mechanisms being active: failure due to cracks initiating from surface defects and interior defects. Surface defects are predominant and interior defects lead to fatigue failure only when there are no cracks initiated by surface defects. In all cases, only the mutually exclusive Weibull mixture model was found to be applicable.

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Notes

  1. All estimated Weibull parameters for the datasets were obtained by using the maximum likelihood method.

  2. Although natural logarithm of the mechanical property data is used conventionally as the x-axis in Weibull probability plots, for fatigue life data, it is the author’s recommendation that logarithm of data with a base 10 be used for easier interpretation.

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Manuscript submitted June 26, 2014.

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Tiryakioğlu, M. Weibull Analysis of Mechanical Data for Castings II: Weibull Mixtures and Their Interpretation. Metall Mater Trans A 46, 270–280 (2015). https://doi.org/10.1007/s11661-014-2610-9

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