Engineering Mechanics

Proceedings Vol. 20 (2014)

ENGINEERING MECHANICS 2014

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Milewski G.
pages 423 - 426, full text

The paper presents the analysis of Burzyński-Torre strength hypothesis application for hard tissues of teeth, i.e. dentine and enamel. Comparative analysis was done with regards to the well-known strength hypotheses, as Huber-von Mises, Tresca-Guest and de Saint-Venant theories. Numerical simulations as well as the finite element modeling were done by means of ANSYS® program. The calculations have been done for the features of the normal occlusal loadings respectively for anterior and lateral teeth. The numerical stress field analyses in dental and enamel were compared with the relevant experimental and clinical data. The effort estimation according to the Burzyński-Torre hypothesis produces the relatively wide spread out of the obtained results, both in the dentine and enamel. As the result of the large negative values of the first invariant of the stress tensor for the proper occlusal loadings the obtained reduced stress values are relatively low when comparing with Huber-von Mises and Tresca-Guest assessments. For the cases of strong bending effects for anterior teeth and for mastication loadings in lateral teeth the respective values of Burzyński-Torre reduced stress rapidly increase. Those effect also seem to be a result of the strong asymmetry of the dentine, and especially enamel, at tension and compression.

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