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.
journal_name
Comput Methods Biomech Biomed Enginauthors
Provatidis CGdoi
10.1080/10255840290032126keywords:
subject
Has Abstractpub_date
2002-04-01 00:00:00pages
101-12issue
2eissn
1025-5842issn
1476-8259pii
R0H0LL41M4YGT07Hjournal_volume
5pub_type
杂志文章abstract::Three non-Newtonian blood viscosity models plus the Newtonian one are analysed for a patient-specific thoracic aorta anatomical model under steady-state flow conditions via wall shear stress (WSS) distribution, non-Newtonian importance factors, blood viscosity and shear rate. All blood viscosity models yield a consist...
journal_title:Computer methods in biomechanics and biomedical engineering
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journal_title:Computer methods in biomechanics and biomedical engineering
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journal_title:Computer methods in biomechanics and biomedical engineering
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journal_title:Computer methods in biomechanics and biomedical engineering
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