Journal of Mechanical Science and Technology

, Volume 22, Issue 7, pp 1247–1254 | Cite as

Strength modeling using Weibull distributions

  • Saralees NadarajahEmail author
  • Samuel Kotz


The two-parameter Weibull distribution is the most popular model for material strength. However, it may not be a good model for all materials over a wide range of sizes. In this note, a comprehensive review of the known variations of the two-parameter Weibull distribution is provided to help providing better modeling. Over 20 variations are reviewed. The appropriateness of the variations is discussed as models for brittle versus ductile strength. A comparison study of a selection of the variations is also provided. It is hoped that this review will also serve as an important reference and encourage developments of further variations of the two-parameter Weibull distribution.


Material strength Statistical modeling Weibull distribution 


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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH 2008

Authors and Affiliations

  1. 1.School of MathematicsUniversity of ManchesterManchesterUK
  2. 2.Department of Engineering Management and Systems EngineeringThe George Washington UniversityWashington DCUSA

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