Abstract

The simulation of the periodontal ligament response to force in the initial phase of orthodontic tooth movement is described. The initial response of the periodontal ligament to an external load can be simulated with a poro-visco-hyperelastic model. For the ground substance a hyperelastic constitutive model for compressible material was used. To facilitate parameter identification a reduced order model and a optimal interpolation metamodel was utilized. Parameters for the constitutive model identified herein are in good agreement with published values. Dimensionless analysis suggests that poroelastic behavior will gradually cease when viscoelastic relaxation progresses. This was as well observed in the simulation and confirmed by variation of the poroelastic model parameters within physically justified limits. A strain rate hardening effect was observed, which is not covered by the simulation, and may be subject of further investigations. For slow loading, or if initial response to fast loading is not of interest, a visco-hyperelastic model may suffice.

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Presenter Bio

Dr. rer. nat. Albert Heinrich Kaiser
Education: 2020, Phd in biomechanics , University of Bonn, Germany; 1999, MSc in automotive systems engineering, Loughborough University, England; 1988 Dipl.Ing.(FH) in mechanical engineering, University of Applied Science, Koblenz, Germany.
Professional experience: Various positions in R&D; 1995 to date, Ford Werke GmbH, Köln; 1990 to 1994, Mercedes-Benz AG, Stuttgart; 1988 to 1989, Robert Bosch GmbH, Stuttgart.

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