Development of a load sharing policy by managing the residual life based on a stochastic process

David Han ()
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David Han: UTSA

Working Papers from College of Business, University of Texas at San Antonio

Abstract: In this paper, we analyze the time (viz., the number of cycles) to reach any given crack size in a fatigue life test using a gamma stochastic process. It is assumed that the time increments are nonstationary but independent for each specimen while the shape parameter of the gamma distribution is a function of the crack length. In addition, using a random effect model, the between-specimen variability is explained by modeling the scale parameter of the process with a gamma distribution. This yields explicit formulas for the marginal lifetime distributions, the associated mean and variance which boosts computational efficiency.

Keywords: fatigue crack growth; gamma distribution; lifetime estimation; Paris law; reliability; stochastic process (search for similar items in EconPapers)
JEL-codes: C13 C16 C24 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2016-11-06
New Economics Papers: this item is included in nep-ore
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Persistent link: https://EconPapers.repec.org/RePEc:tsa:wpaper:0177mss

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