title: Nonlinear large-deflection analysis of orthodontic wires.
abstract: The purposes of this study were (1) to measure the nonlinear force-deflection behavior of selected orthodontic wires using a conventional tensile test, (2) to extend a mathematical model for simulating the force system produced by orthodontic wires based on the small-deflection linear theory to the large-deflection nonlinear theory, and (3) to examine the effects of the cross-section and mechanical properties of orthodontic wires on nonlinear characteristics. A method for extending a mathematical model for simulating the force system produced by orthodontic wires based on the small-deflection linear theory to the large-deflection nonlinear theory was established, and this can provide a clear view of the true nature of orthodontic wires. Furthermore, our results demonstrated that the nonlinear properties of orthodontic wires were affected more by the cross-sectional shape than by mechanical properties.
authors.affiliation: Department of Orthodontics, School of Dentistry, Health Sciences University of Hokkaido, Ishikari-Tobetsu, Hokkaido, Japan. kazu@hoku-iryo-u.ac.jp
authors.forename: Kazuo
authors.initials: K
authors.lastname: Hayashi
authors.forename: Yoshima
authors.initials: Y
authors.lastname: Araki
authors.forename: Itaru
authors.initials: I
authors.lastname: Mizoguchi
mesh_terms: D000465:Algorithms; D002858:Chromium Alloys / Q000737:chemistry; D003722:Dental Alloys / Q000737:chemistry*; D006801:Humans; D008422:Materials Testing; D017711:Nonlinear Dynamics; D016382:Orthodontic Appliance Design; D009969:Orthodontic Wires; D013193:Stainless Steel / Q000737:chemistry; D013314:Stress, Mechanical; D013499:Surface Properties; D013718:Tensile Strength
chemical_list: D002858:Chromium Alloys; D003722:Dental Alloys; D013193:Stainless Steel