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

Author

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

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.

Suggested Citation

  • Leiva, Víctor & Ruggeri, Fabrizio & Saulo, Helton & Vivanco, Juan F., 2017. "A methodology based on the Birnbaum–Saunders distribution for reliability analysis applied to nano-materials," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 192-201.
    • Handle: RePEc:eee:reensy:v:157:y:2017:i:c:p:192-201
    DOI: 10.1016/j.ress.2016.08.024
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    Cited by:

    1. Helton Saulo & Jeremias Leão & Víctor Leiva & Robert G. Aykroyd, 2019. "Birnbaum–Saunders autoregressive conditional duration models applied to high-frequency financial data," Statistical Papers, Springer, vol. 60(5), pages 1605-1629, October.
    2. Camilo Lillo & Víctor Leiva & Orietta Nicolis & Robert G. Aykroyd, 2018. "L-moments of the Birnbaum–Saunders distribution and its extreme value version: estimation, goodness of fit and application to earthquake data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(2), pages 187-209, January.
    3. Robert G. Aykroyd & Víctor Leiva & Carolina Marchant, 2018. "Multivariate Birnbaum-Saunders Distributions: Modelling and Applications," Risks, MDPI, vol. 6(1), pages 1-25, March.
    4. Henry Velasco & Henry Laniado & Mauricio Toro & Alexandra Catano-López & Víctor Leiva & Yuhlong Lio, 2021. "Modeling the Risk of Infectious Diseases Transmitted by Aedes aegypti Using Survival and Aging Statistical Analysis with a Case Study in Colombia," Mathematics, MDPI, vol. 9(13), pages 1-15, June.

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