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This study aimed to develop a constitutive model for human periodontal ligament (PDL) by combining the hyperelastic and viscosity models. We performed the finite element analysis (FEA) to simulate the experimental processes of the PDL  in vitro  and  in vivo  tests to verify the developed model. The FEA results indicated that the simulative curves were consistent with the experimental curves in the PDL  in vitro  tests. Moreover, for the  in vivo  measurements, the simulative result of 0.6258 N was similar to the experimental value of 0.65 N. The study results can help orthodontists better understand the biomechanical characteristics of PDL.

Development and verification of a constitutive model for human periodontal ligament based on finite element analysis