title: Centre of resistance and centre of rotation of a tooth: experimental determination, computer simulation and the effect of tissue nonlinearity.
abstract: The centre of resistance and centre of rotation of a tooth are key concepts in orthodontics. 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.
authors.affiliation: a Department of Theoretical Mechanics , National Research Polytechnic University of Perm , Perm , Russia.
authors.forename: Y
authors.initials: Y
authors.lastname: Nyashin
authors.affiliation: a Department of Theoretical Mechanics , National Research Polytechnic University of Perm , Perm , Russia.
authors.forename: M
authors.initials: M
authors.lastname: Nyashin
authors.affiliation: a Department of Theoretical Mechanics , National Research Polytechnic University of Perm , Perm , Russia.
authors.forename: M
authors.initials: M
authors.lastname: Osipenko
authors.affiliation: a Department of Theoretical Mechanics , National Research Polytechnic University of Perm , Perm , Russia.
authors.forename: V
authors.initials: V
authors.lastname: Lokhov
authors.affiliation: a Department of Theoretical Mechanics , National Research Polytechnic University of Perm , Perm , Russia.
authors.forename: A
authors.initials: A
authors.lastname: Dubinin
authors.affiliation: b Institute of Lightweight Design and Structural Biomechanics, Vienna University of Technology , Vienna , Austria.
authors.forename: F
authors.initials: F
authors.lastname: Rammerstorfer
authors.affiliation: c School of Dentistry, Cardiff University , Cardiff , UK.|d Institute for Problems in Mechanics, Russian Academy of Sciences , Moscow , Russia.
authors.forename: A
authors.initials: A
authors.lastname: Zhurov
mesh_terms: D003198:Computer Simulation; D020342:Finite Element Analysis; D006801:Humans; D008962:Models, Theoretical; D010513:Periodontal Ligament; D012399:Rotation; D014070:Tooth; D014087:Tooth Movement Techniques
keywords: centre of resistance; centre of rotation; computational experiment; experimental determination; finite element modelling; orthodontics; periodontal ligament