Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament
In present paper the simulation of the initial tooth translational displacement on the periodontal linearly elastic shell are performed. The geometric shape of the tooth root is described by equations of the circular hyperboloid. The outer surface of the periodontal ligament fixed in the dental alve...
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National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
2013
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oai:doaj.org-article:8268616a49db4045b3f51ee28ef0d2052021-11-29T11:22:12ZAnalysis of Tooth Root Translation in Linear Elastic Periodontal Ligament1995-04702518-1475https://doaj.org/article/8268616a49db4045b3f51ee28ef0d2052013-12-01T00:00:00Zhttp://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=347https://doaj.org/toc/1995-0470https://doaj.org/toc/2518-1475In present paper the simulation of the initial tooth translational displacement on the periodontal linearly elastic shell are performed. The geometric shape of the tooth root is described by equations of the circular hyperboloid. The outer surface of the periodontal ligament fixed in the dental alveoli. The inner surface of the periodontal ligament coincides with the outer surface of the tooth root. The relationship between displacement and deformation of periodont is defined taking into account the incompressibility of the periodontal tissues. The coordinates of the root center of resistance and the line a concentrated load angles of orientation action is defined for a of single"root tooth. A comparative analysis of the results of the calculation сoordinates of the centers of resistance on the basis of analytical and finite-element model.S.M. Bosiakov A.F. Mselati National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"articlefinite-element modelproperties of tissuesperiodontstress fieldbony tissuebiologyMechanical engineering and machineryTJ1-1570ENRUМеханика машин, механизмов и материалов, Iss 4(25), Pp 7-11 (2013) |
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finite-element model properties of tissues periodont stress field bony tissue biology Mechanical engineering and machinery TJ1-1570 |
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finite-element model properties of tissues periodont stress field bony tissue biology Mechanical engineering and machinery TJ1-1570 S.M. Bosiakov A.F. Mselati Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
description |
In present paper the simulation of the initial tooth translational displacement on the periodontal linearly elastic shell are performed. The geometric shape of the tooth root is described by equations of the circular hyperboloid. The outer surface of the periodontal ligament fixed in the dental alveoli. The inner surface of the periodontal ligament coincides with the outer surface of the tooth root. The relationship between displacement and deformation of periodont is defined taking into account the incompressibility of the periodontal tissues. The coordinates of the root center of resistance and the line a concentrated load angles of orientation action is defined for a of single"root tooth. A comparative analysis of the results of the calculation сoordinates of the centers of resistance on the basis of analytical and finite-element model. |
format |
article |
author |
S.M. Bosiakov A.F. Mselati |
author_facet |
S.M. Bosiakov A.F. Mselati |
author_sort |
S.M. Bosiakov |
title |
Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
title_short |
Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
title_full |
Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
title_fullStr |
Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
title_full_unstemmed |
Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament |
title_sort |
analysis of tooth root translation in linear elastic periodontal ligament |
publisher |
National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" |
publishDate |
2013 |
url |
https://doaj.org/article/8268616a49db4045b3f51ee28ef0d205 |
work_keys_str_mv |
AT smbosiakov analysisoftoothroottranslationinlinearelasticperiodontalligament AT afmselati analysisoftoothroottranslationinlinearelasticperiodontalligament |
_version_ |
1718407412403142656 |