Boundary-type hydrodynamic analysis of tooth movement

Provatidis, C; Kanarachos, A

dc.contributor.author	Provatidis, C	en
dc.contributor.author	Kanarachos, A	en
dc.date.accessioned	2014-03-01T01:15:29Z
dc.date.available	2014-03-01T01:15:29Z
dc.date.issued	2000	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13541
dc.subject	hydrodynamics	en
dc.subject	orthodontics	en
dc.subject	tooth movement	en
dc.subject	centre of resistance	en
dc.subject	centre of rotation	en
dc.subject	rigid body	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.title	Boundary-type hydrodynamic analysis of tooth movement	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(00)00028-X	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(00)00028-X	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The mechanical representation of the periodontal ligament (PDL) that surrounds each human tooth is still an enigma for both bioengineers and orthodontists. The assumption of nearly incompressible PDL leads to Reynolds' equations in curvilinear co-ordinates along the boundary of the tooth. This paper deals with a two-dimensional rigid tooth of arbitrary shape and introduces a boundary-type symmetric stiffness matrix of order 3 x 3 that correlates the applied force-system on the tooth to its three displacements: two translations and one rotation. The elements of this matrix are calculated using one-dimensional Gaussian quadrature along the open boundary of the tooth in contact with the PDL. The efficiency of the method is sustained by two test cases: a typical wedge- and a parabolic-shaped root using two linear and one quadratic element, respectively. For both cases, the location of the centre of resistance, the centre of rotation and the distribution of the pressure are calculated. (C) 2000 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS	en
dc.identifier.doi	10.1016/S0955-7997(00)00028-X	en
dc.identifier.isi	ISI:000165818300005	en
dc.identifier.volume	24	en
dc.identifier.issue	9	en
dc.identifier.spage	661	en
dc.identifier.epage	669	en