Abstract
The paper presents modeling of denture specimens with different surface reliefs under the action of static loading using modern numerical methods - finite and boundary elements. Based on the analysis of literature, it is shown that the most effective approaches for calculating the stress-strain state (SSS) of dentures is the finite element method (FEM), which allows you to create 3D models with any complexity of geometry and surface, as well as the boundary element method (BEM), which allows in some cases to obtain more accurate calculation results than finite element method. The algorithm and procedure for exact integration of differential equations of hollow shells according to the algorithm of Kantorovich-Vlasov variational method are presented for the formation of the calculated finite element method ratios. The analytical expressions for the parameters of the hollow shells used for calculations of the state of dentures are given. Finite element method is represented in the work by the universal package SolidWorks. Different stages of solid-state modeling of prototypes of dentures with different surface reliefs are shown in detail. Dental stress-strain state calculations were performed by two methods. The results of the calculations are in good agreement with each other, which proves the reliability of both models developed and the results of the stress-strain state received. It is shown that the smallest values of stresses occur in dentures with a rhombic lattice; they are 5.9% less than prosthesis with a smooth surface, and 18.78% less than in prosthesis with a square lattice. Equivalent displacement of a rhombic lath prosthesis is less by 3,864% than that of a smooth surface prosthesis and 8 52% less than a square lattice prosthesis.
Highlights
There are no restrictions on the application of the considered approaches, since both the finite element method (FEM) and the boundary element method (BEM) provide a reliable solution to the problems posed
The disadvantages of the study include the comparative complexity of constructing spatial models of dentures in the graphical editor of the FEM package and the formation of resolving systems of equations in the BEM
The lowest stress values occur in the denture with a rhombic lattice, which is by 5.9% less than a denture with a smooth surface, and by 18.78% less than a denture with a square lattice
Summary
The features of the proposed approach consist in modeling the stress state of dentures using two different methods, where close results are obtained, which proves the reliability of both the simulation and the results. There are no restrictions on the application of the considered approaches, since both the FEM and the BEM provide a reliable solution to the problems posed. The disadvantages of the study include the comparative complexity of constructing spatial models of dentures in the graphical editor of the FEM package and the formation of resolving systems of equations in the BEM. The lowest stress values occur in the denture with a rhombic lattice, which is by 5.9% less than a denture with a smooth surface, and by 18.78% less than a denture with a square lattice (strength characteristics are best for a denture with a rhombic lattice). The equivalent displacements for a denture with a rhombic lattice are less by 3.864% than for a denture with a smooth surface, and by 8.52% less than for a denture with a square lattice
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
