Construction and Simulation of Constitutive Model of PeriodontalLigament Based on Hyperelasticity-Viscoelasticity
Wu Jianlei1, Peng Wei1#, Dong Huiyue2, Jiang Xianfeng1, Liu Yunfeng1*
1Key Laboratory of E&M, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014,China 2Key Laboratory of Advanced Manufacturing Technology of Zhejiang Province, Zhejiang University, Hangzhou 310027, China
Abstract：In order to describe the biomechanical behaviors of PDL (periodontal ligament) accurately, based on the theory of continuum mechanics in large deformation and the hypothesis of incompressible isotropy, a hyperelastic-viscoelastic model of PDL and parameters were constructed by data fitting function in finite element software ABAQUS based on experimental data of plane shear and stress relaxation of human PDL. Then, the PDL hyperelastic-viscoelastic model was evaluated on the accuracy through simulations to the plane shear experiments of five PDL specimens. Finally, the mechanical responses to loads of PDL linear elastic model and hyperelastic-viscoelastic model were compared and analyzed by finite element simulations. The results indicated PDL was approximately expressed by linear elastic model when the displacements of root were within 0～0.06 mm, while hyperelastic-viscoelastic model was more accurate to describe the material characteristics of PDL when the displacements exceed 0.06 mm, meanwhile a significant difference between two models could be observed. Based on this study, a practical PDL hyperelastic-viscoelastic model was acquired and a strong theoretical foundation was constructed for orthodontic biomechanical investigating and accurate treatment planning.
仵健磊, 彭伟, 董辉跃, 姜献峰, 刘云峰. 基于超黏弹性的牙周膜本构模型构建及模拟[J]. 中国生物医学工程学报, 2018, 37(2): 194-201.
Wu Jianlei, Peng Wei, Dong Huiyue, Jiang Xianfeng, Liu Yunfeng. Construction and Simulation of Constitutive Model of PeriodontalLigament Based on Hyperelasticity-Viscoelasticity. Chinese Journal of Biomedical Engineering, 2018, 37(2): 194-201.
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