Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour

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...

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Main Authors: María Prados-Privado, Juan Carlos Prados-Frutos, Ángel Manchón, Rosa Rojo, Pietro Felice, José Antonio Bea
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:BioMed Research International
Online Access:http://dx.doi.org/10.1155/2015/825402
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spelling doaj-6645b3011eaa4b52a538157b97b521602020-11-24T22:30:42ZengHindawi LimitedBioMed Research International2314-61332314-61412015-01-01201510.1155/2015/825402825402Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue BehaviourMaría Prados-Privado0Juan Carlos Prados-Frutos1Ángel Manchón2Rosa Rojo3Pietro Felice4José Antonio Bea5Department of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, SpainDepartment of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, SpainDepartment of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, SpainDepartment of Stomatology, Rey Juan Carlos University, C/ Tulipán s/n, Móstoles, 28933 Madrid, SpainDepartment of Biomedical and Neuromotor Sciences, Unit of Periodontology and Implantology, University of Bologna, Via Zamboni 33, 40126 Bologna, ItalyAragón Institute of Engineering Research, University of Zaragoza, C/ Mariano Esquillor s/n, 50018 Zaragoza, SpainObjective. 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).http://dx.doi.org/10.1155/2015/825402
collection DOAJ
language English
format Article
sources DOAJ
author María Prados-Privado
Juan Carlos Prados-Frutos
Ángel Manchón
Rosa Rojo
Pietro Felice
José Antonio Bea
spellingShingle María Prados-Privado
Juan Carlos Prados-Frutos
Ángel Manchón
Rosa Rojo
Pietro Felice
José Antonio Bea
Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
BioMed Research International
author_facet María Prados-Privado
Juan Carlos Prados-Frutos
Ángel Manchón
Rosa Rojo
Pietro Felice
José Antonio Bea
author_sort María Prados-Privado
title Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
title_short Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
title_full Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
title_fullStr Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
title_full_unstemmed Dental Implants Fatigue as a Possible Failure of Implantologic Treatment: The Importance of Randomness in Fatigue Behaviour
title_sort dental implants fatigue as a possible failure of implantologic treatment: the importance of randomness in fatigue behaviour
publisher Hindawi Limited
series BioMed Research International
issn 2314-6133
2314-6141
publishDate 2015-01-01
description 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).
url http://dx.doi.org/10.1155/2015/825402
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