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A methodology based on the Birnbaum–Saunders distribution for reliability analysis applied to nano-materials

Leiva, Víctor, Fabrizio Ruggeri, Helton Saulo and Juan F. Vivanco

Reliability Engineering and System Safety, 2017, vol. 157, issue C, 192-201

Abstract: The Birnbaum–Saunders distribution has been widely studied and applied to reliability studies. This paper proposes a novel use of this distribution to analyze the effect on hardness, a material mechanical property, when incorporating nano-particles inside a polymeric bone cement. A plain variety and two modified types of mesoporous silica nano-particles are considered. In biomaterials, one can study the effect of nano-particles on mechanical response reliability. Experimental data collected by the authors from a micro-indentation test about hardness of a commercially available polymeric bone cement are analyzed. Hardness is modeled with the Birnbaum–Saunders distribution and Bayesian inference is performed to derive a methodology, which allows us to evaluate the effect of using nano-particles at different loadings by the R software.

Keywords: Bayesian analysis; Hardness data; Markov chain Monte Carlo method; R software (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:157:y:2017:i:c:p:192-201

DOI: 10.1016/j.ress.2016.08.024

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