title: Development and parameter identification of a visco-hyperelastic model for the periodontal ligament.
abstract: The present study developed and implemented a new visco-hyperelastic model that is capable of predicting the time-dependent biomechanical behavior of the periodontal ligament. The constitutive model has been implemented into the finite element package ABAQUS by means of a user-defined material subroutine (UMAT). The stress response is decomposed into two constitutive parts in parallel which are a hyperelastic and a time-dependent viscoelastic stress response. In order to identify the model parameters, the indentation equation based on V-W hyperelastic model and the indentation creep model are developed. Then the parameters are determined by fitting them to the corresponding nanoindentation experimental data of the PDL. The nanoindentation experiment was simulated by finite element analysis to validate the visco-hyperelastic model. The simulated results are in good agreement with the experimental data, which demonstrates that the visco-hyperelastic model developed is able to accurately predict the time-dependent mechanical behavior of the PDL.
authors.affiliation: Department of Mechanical Engineering, Nanjing Institute of Technology, 211167 Nanjing, PR China.
authors.forename: Huixiang
authors.initials: H
authors.lastname: Huang
authors.affiliation: Department of Mechanical Engineering, Southeast University, 210096 Nanjing, PR China.
authors.forename: Wencheng
authors.initials: W
authors.lastname: Tang
authors.affiliation: Department of Mechanical Engineering, Nanjing Institute of Technology, 211167 Nanjing, PR China.
authors.forename: Qiyan
authors.initials: Q
authors.lastname: Tan
authors.affiliation: Department of Stomatology, Nanjing Medical University, 210029 Nanjing, PR China.
authors.forename: Bin
authors.initials: B
authors.lastname: Yan
mesh_terms: D001696:Biomechanical Phenomena; D004548:Elasticity; D020342:Finite Element Analysis; D006801:Humans; D008954:Models, Biological; D010513:Periodontal Ligament / Q000502:physiology*; D013314:Stress, Mechanical
keywords: Finite element analysis; Nanoindentation; Parameter identification; Periodontal ligament; Visco-hyperelastic model