An analytical mechanical model to describe the response of NiTi rotary endodontic files in a curved root canal

Materials Science & Engineering. C, Materials for Biological Applications
Agnès Marie Françoise LeroyV T L Buono

Abstract

To build a mathematical model describing the mechanical behavior of NiTi rotary files while they are rotating in a root canal. The file was seen as a beam undergoing large transformations. The instrument was assumed to be rotating steadily in the root canal, and the geometry of the canal was considered as a known parameter of the problem. The formulae of large transformations mechanics then allowed the calculation of the Green-Lagrange strain field in the file. The non-linear mechanical behavior of NiTi was modeled as a continuous piecewise linear function, assuming that the material did not reach plastic deformation. Criteria locating the changes of behavior of NiTi were established and the tension field in the file, and the external efforts applied on it were calculated. The unknown variable of torsion was deduced from the equilibrium equation system using a Coulomb contact law which solved the problem on a cycle of rotation. In order to verify that the model described well reality, three-point bending experiments were managed on superelastic NiTi wires, whose results were compared to the theoretical ones. It appeared that the model gave a good mentoring of the empirical results in the range of bending angles that interested ...Continue Reading

References

Jul 23, 2005·Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, and Endodontics·Maria Guiomar A Bahia, Vicente Tadeu Lopes Buono

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Citations

Nov 5, 2013·Dental Materials : Official Publication of the Academy of Dental Materials·Erika S J PereiraVicente T L Buono
Oct 17, 2001·International Endodontic Journal·M HülsmannF Schäfers
Feb 21, 2002·International Endodontic Journal·J VersümerF Schäfers
May 27, 2014·Materials Science & Engineering. C, Materials for Biological Applications·Diogo MontalvãoManuel Freitas
Mar 9, 2018·Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine·M R Karamooz-Ravari, R Dehghani
Sep 15, 2018·Journal of Pharmaceutical Policy and Practice·Ademola Joshua Itiola, Kenneth Anene Agu

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