Effect of variation of root post in different layers of tooth: linear vs nonlinear finite element stress analysis

The objective of this study was to obtain an accurate stress distribution pattern on different domains of a post- and core-treated tooth, taking into account the nonlinear properties of the periodontal ligament (PDL). Linear stress and deformation analysis was carried out using four posts, different in constitution and shape. Accurate three-dimensional models of a restored tooth with different layers were prepared using CAD modeling software. The study was carried out using a cast metal post and core assembly, a glass fiber, a carbon fiber, and a titanium post with a composite resin core. For each restoration, parallel, tapered and threaded posts were modeled. However, PDL exhibits nonlinear properties ensuring a uniform stress distribution in the tooth structure. Hence, accurate results could be expected by simulating the model for the nonlinear properties of PDL. Owing to computational difficulties, a simplified model was prepared in the ANSYS environment and nonlinear stress analysis was carried out. The results indicate that for optimum strength, rigidity and flexibility, tapered fiber posts with a composite resin core cemented to the root are desirable. Under similar loading conditions, in the case of nonlinear analysis, the stresses decreased by approximately 25% and the deformation increased by approximately 50% as compared with those in case of linear static analysis for an endodontically treated maxillary central incisor. Thus, stress distribution within the restored tooth and surrounding tissues can be better anticipated by a dentist. From the results of this study, the dimensions of a post could be modified, to further reduce stress in the oral cavity and thereby reduce the risk of root and post fractures.