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Guidelines for Two-Parameter Weibull Analysis for Flaw-Containing Materials

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Abstract

Two-parameter Weibull statistics used in the analysis of mechanical data from flaw-containing materials, such as ceramics and castings, are reviewed. Guidelines to estimate Weibull parameters with the linear regression technique are provided. Moreover goodness-of-fit tests for Weibull fits and calculating confidence intervals for the estimated Weibull modulus are discussed. Methods of estimating lower bounds as well as a new hypothesis test for comparing two estimated Weibull moduli are explained. The use of these guidelines is demonstrated by using data from the literature.

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Authors and Affiliations

  1. School of Engineering, University of North Florida, Jacksonville, FL, 32224, USA

    Murat Tiryakioğlu (Professor, Director)

  2. Actuarial Science Program and Departm1ent of Mathematics, Robert Morris University, Moon Township, PA, 15108, USA

    David Hudak (Director, Associate Professor)

Authors
  1. Murat Tiryakioğlu
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  2. David Hudak
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Correspondence to Murat Tiryakioğlu.

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Manuscript submitted May 26, 2011.

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Tiryakioğlu, M., Hudak, D. Guidelines for Two-Parameter Weibull Analysis for Flaw-Containing Materials. Metall Mater Trans B 42, 1130–1135 (2011). https://doi.org/10.1007/s11663-011-9556-8

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  • DOI: https://doi.org/10.1007/s11663-011-9556-8

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