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Temporomandibular joint and its two-dimensional and three-dimensional modelling

Author

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  • Hliňáková, P.
  • Dostálová, T.
  • Daněk, J.
  • Nedoma, J.
  • Hlaváček, I.

Abstract

Detailed knowledge about the function and morphology of temporomandibular joint are necessary for clinical applications and for analyses of the function of temporomandibular joint prosthesis. Movements of temporomandibular joint are biomechanically sophisticated and are up-to-date not clear. Therefore, the aim of the paper is to give the suitable mathematical approach for analyses of temporomandibular joint. In the paper the analysis of the temporomandibular joint, loaded by traction and compression forces, is presented and shortly discussed. The obtained results, based on two- and three-dimensional mathematical models, represent an introductory work for further studies of biomechanical aspects of temporomandibular joint and of its artificial replacements. The models are based on the theory of contact problems in linear elasticity. For the numerical solutions of the investigated problems the FEM approaches are used and the used algorithm is based on an active-set method for quadratic programming.

Suggested Citation

  • Hliňáková, P. & Dostálová, T. & Daněk, J. & Nedoma, J. & Hlaváček, I., 2010. "Temporomandibular joint and its two-dimensional and three-dimensional modelling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1256-1268.
  • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1256-1268
    DOI: 10.1016/j.matcom.2009.08.007
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    References listed on IDEAS

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    1. Hlaváček, Ivan & Nedoma, Jiřı́, 2002. "On a solution of a generalized semi-coercive contact problem in thermo-elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(1), pages 1-17.
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    1. Hlaváček, I. & Nedoma, J., 2005. "Reliable solution of an unilateral contact problem with friction and uncertain data in thermo-elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 67(6), pages 559-580.
    2. Daněk, J. & Hlaváček, I. & Nedoma, J., 2005. "Domain decomposition for generalized unilateral semi-coercive contact problem with given friction in elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(3), pages 271-300.

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