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

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.

authors

Provatidis CG

doi

10.1080/10255840290032126

keywords:

subject

Has Abstract

pub_date

2002-04-01 00:00:00

pages

101-12

issue

2

eissn

1025-5842

issn

1476-8259

pii

R0H0LL41M4YGT07H

journal_volume

5

pub_type

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