Comput.Meth.Biomech.Biomed.Engng. 19, 229-239, 2016
Y. Nyashin1, M. Nyashin1,
M. Osipenko1, V. Lokhov1,
A. Dubinin1, F.G. Rammerstorfer2,
1Department of Theoretical Mechanics,
Polytechnic University Perm, Perm Russia
2Institute of Lightweight Design and Structural Biomechanics,
TU Wien, Vienna, Austria
3School of Dentistry, Cardiff University, Cardiff, UK
The centre of resistance and centre of rotation of a tooth are key concepts in
Determining the coordinates of these points is essential for planning
orthodontic tooth movement.
The paper proposes a procedure for experimental determination of the two
centres, verifies a previously developed mathematical theory through computer
simulations and evaluates the effect of nonlinearity of the periodontal
ligament on the parameters related to the centres.
The paper relies on the mathematical theory of a rigid body embedded in an
elastic medium, physical experiment, finite element method and a simple
nonlinear theory of the tooth.
The concept of the centre of resistance requires a revision if nonlinearity is
taken into account.