An analytical model for stress analysis of a tooth in translation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:16:07Z
dc.date.available	2014-03-01T01:16:07Z
dc.date.issued	2001	en
dc.identifier.issn	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13927
dc.subject	Analytical formulas	en
dc.subject	Center of resistance	en
dc.subject	Periodontal ligament	en
dc.subject	Rigid tooth	en
dc.subject	Stress analysis	en
dc.subject	Tooth displacement	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical models	en
dc.subject.other	Stiffness	en
dc.subject.other	Stress analysis	en
dc.subject.other	Periodontal ligaments	en
dc.subject.other	Tooth displacement	en
dc.subject.other	Biomechanics	en
dc.title	An analytical model for stress analysis of a tooth in translation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7225(00)00098-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7225(00)00098-7	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	Closed-form analytical formulas for a tooth of paraboloidal shape in pure translation are presented. These formulas are based on both the approximation of normal and tangential strains in terms of the translational displacement of the tooth and the tooth equilibrium of the thin surrounding periodontal membrane (or on the strain energy conservation equivalently). The tooth is considered to be a rigid body while the surrounding membrane is assumed to be an elastic foundation of uniform thickness. The proposed formulas are capable of determining the most important quantities involved in the case of tooth translation; these are the stiffness of the tooth-support in translation, the distribution of strain and stress tensors in the membrane, the maximum value of hydrostatic stress, as well as the location of the center of resistance. It was found that the proposed formulas involve not only the root length h, as the previous literature reports, but also the root diameter D. The theory is successfully compared to three-dimensional finite element results for an upper central incisor. (C) 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.doi	10.1016/S0020-7225(00)00098-7	en
dc.identifier.isi	ISI:000169368000005	en
dc.identifier.volume	39	en
dc.identifier.issue	12	en
dc.identifier.spage	1361	en
dc.identifier.epage	1381	en