Study on Stress Distribution in Periodontal Ligament of Impacted Tooth Based on Hyperelastic Model

Previous studies have not produced a comprehensive description of the nonlinear hyperelastic stress-strain behavior of the periodontal ligament (PDL) of impacted tooth. In the present study, a simulation was applied to get the stress distribution in the PDL of impacted tooth. Firstly, a novel finite element modeling method for the PDL of impacted tooth based on CT image and reverse engineering was adopted herein. Furthermore, a group of uniaxial tensile experiment data from human PDL was used for fitting of several hyperelastic energy functions. At last, a traction was simulated, in which the angel between the traction force and the central axis of the impacted tooth is 45° , and the stress distribution of the PDL was calculated by ABAQUS. The results showed that the third-order Ogden model and third-order reduced polynomial model are also able to better reflect the material properties of the PDL. The stress in the top areas of the PDL is largest and most concentrated when the traction force load in the crown of the impacted tooth.