Parametric finite element analysis and closed-form solutions in orthodontics.

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:18:11Z
dc.date.available	2014-03-01T01:18:11Z
dc.date.issued	2002	en
dc.identifier.issn	10255842	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14848
dc.subject	Finite Element Analysis	en
dc.subject.other	article	en
dc.subject.other	biological model	en
dc.subject.other	comparative study	en
dc.subject.other	computer simulation	en
dc.subject.other	elasticity	en
dc.subject.other	finite element analysis	en
dc.subject.other	human	en
dc.subject.other	incisor	en
dc.subject.other	maxilla	en
dc.subject.other	mechanical stress	en
dc.subject.other	methodology	en
dc.subject.other	orthodontics	en
dc.subject.other	periodontal disease	en
dc.subject.other	periodontal ligament	en
dc.subject.other	physiology	en
dc.subject.other	regression analysis	en
dc.subject.other	rotation	en
dc.subject.other	statistical model	en
dc.subject.other	tooth root	en
dc.subject.other	torque	en
dc.subject.other	validation study	en
dc.subject.other	Computer Simulation	en
dc.subject.other	Elasticity	en
dc.subject.other	Finite Element Analysis	en
dc.subject.other	Humans	en
dc.subject.other	Incisor	en
dc.subject.other	Maxilla	en
dc.subject.other	Models, Biological	en
dc.subject.other	Models, Statistical	en
dc.subject.other	Orthodontics	en
dc.subject.other	Periodontal Ligament	en
dc.subject.other	Regression Analysis	en
dc.subject.other	Rotation	en
dc.subject.other	Stress, Mechanical	en
dc.subject.other	Tooth Movement	en
dc.subject.other	Tooth Root	en
dc.subject.other	Torque	en
dc.title	Parametric finite element analysis and closed-form solutions in orthodontics.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/10255840290032126	en
heal.identifier.secondary	http://dx.doi.org/10.1080/10255840290032126	en
heal.publicationDate	2002	en
heal.abstract	The goal and clinical relevance of this work was the development of closed formulas that are correct and simple enough for a fast decision making by the orthodontist in the daily praxis. This paper performs a parametric three-dimensional finite element linear analysis on a maxillary central incisor with a root of paraboloidal shape, which is subjected to typical orthodontic force-systems. Parameters of most importance, such as the tooth mobility in translation and in pure moment rotation including orthodontic centers, as well as the stresses inside the periodontal ligament are calculated for a large variety of over four hundred different couples of root lengths and root diameters around a nominal value. Regression analysis is afterwards performed and establishes closed-form solutions, which are also explained in terms of analytical strain energy and hydrostatic stress considerations within the periodontal ligament characterised by a small compressibility. The obtained expressions include both the root length as well as the root diameter.	en
heal.journalName	Computer methods in biomechanics and biomedical engineering	en
dc.identifier.doi	10.1080/10255840290032126	en
dc.identifier.volume	5	en
dc.identifier.issue	2	en
dc.identifier.spage	101	en
dc.identifier.epage	112	en