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http://dx.doi.org/10.3795/KSME-A.2012.36.2.223

Estimation and Application of Reliability Values for Strength of Material Following Gamma Distribution  

Park, Sung-Ho (Defence Systems Test Center, Agency for Defence Development)
Kim, Jae-Hoon (Dept. of Mechanical Design, Choongnam Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.36, no.2, 2012 , pp. 223-230 More about this Journal
Abstract
The strength of brittle material has commonly been characterized by a normal distribution or Weibull distribution, but it may fit the gamma distribution for some material. The use of an extreme value distribution is proper when the largest values of a set of stresses dominate the failure of the material. This paper presents a formula for reliability estimation based on stress-strength interference theory that is applicable when the strength of material is distributed like a gamma distribution and the stress is distributed like an extreme value distribution. We verified the validity of the equation for the reliability estimation by examining the relationships among the factor of safety, the coefficient of variation, and the reliability. The required minimum factor of safety and the highest allowable coefficient of variation of stress can be estimated by choosing an objective reliability and estimating the reliabilities obtained for various factors of safety and coefficients of variation.
Keywords
Reliability; Stress-Strength Interference Theory; Gamma Distribution; Extreme Value Distribution; Factor of Safety; Coefficient of Variation;
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