title: Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour.
abstract: OBJECTIVE
  To show how random variables concern fatigue behaviour by a probabilistic finite element method.
  
  
  METHODS
  Uncertainties on material properties due to the existence of defects that cause material elastic constant are not the same in the whole dental implant the dimensions of the structural element and load history have a decisive influence on the fatigue process and therefore on the life of a dental implant. In order to measure these uncertainties, we used a method based on Markoff chains, Bogdanoff and Kozin cumulative damage model, and probabilistic finite elements method.
  
  
  RESULTS
  The results have been obtained by conventional and probabilistic methods. Mathematical models obtained the same result regarding fatigue life; however, the probabilistic model obtained a greater mean life but with more information because of the cumulative probability function.
  
  
  CONCLUSIONS
  The present paper introduces an improved procedure to study fatigue behaviour in order to know statistics of the fatigue life (mean and variance) and its probability of failure (fatigue life versus probability of failure).
authors.affiliation: Department of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, Spain ; Applied Modelling and Instrumentation Group, Aragón Institute of Engineering Research, University of Zaragoza, C/ Mariano Esquillor s/n, 50018 Zaragoza, Spain.
authors.forename: María
authors.initials: M
authors.lastname: Prados-Privado
authors.affiliation: Department of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, Spain.
authors.forename: Juan Carlos
authors.initials: JC
authors.lastname: Prados-Frutos
authors.affiliation: Department of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, Spain.
authors.forename: Ángel
authors.initials: Á
authors.lastname: Manchón
authors.affiliation: Department of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, Spain.
authors.forename: Rosa
authors.initials: R
authors.lastname: Rojo
authors.affiliation: Department of Biomedical and Neuromotor Sciences, Unit of Periodontology and Implantology, University of Bologna, Via Zamboni 33, 40126 Bologna, Italy.
authors.forename: Pietro
authors.initials: P
authors.lastname: Felice
authors.affiliation: Aragón Institute of Engineering Research, University of Zaragoza, C/ Mariano Esquillor s/n, 50018 Zaragoza, Spain.
authors.forename: José Antonio
authors.initials: JA
authors.lastname: Bea
mesh_terms: D015921:Dental Implants; D003764:Dental Materials / Q000737:chemistry*; D019232:Dental Restoration Failure; D003799:Dental Stress Analysis; D020342:Finite Element Analysis; D006801:Humans; D008390:Markov Chains; D008962:Models, Theoretical; D013314:Stress, Mechanical; D014025:Titanium / Q000737:chemistry
chemical_list: D015921:Dental Implants; D003764:Dental Materials; D014025:Titanium