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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 |
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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.
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Received: 15 May 2017
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