ABSTRACT
The meshless methods [1] have been stated as a numerical alternative to the Finite Element Methods (FEM) [2], allowing to solve and analyze problems with complex geometries with a less computing time [1, 3]. Distinct of FEM, in meshless methods the domain of the problem is discretized in a nodal mesh and the nodal connectivity is obtained by influence domains which, unlike the elements in FEM, may and should overlap. In fact, it is this overlap and the choice of the influence domains that allow meshless methods to achieve good results, even with very irregular nodal meshes. In this work it is intended to analyze the behavior of an innovative meshless method in the elastostatic analysis of the maxillary central incisor. In order to do that, a two dimensional model, obtained based on the literature [4], was used. In this case, the numerical method used for the bone tissue remodeling analysis is the Natural Neighbour Radial Point Interpolator Method (NNRPIM), [5, 6], an efficient and flexible meshless method, presenting various numerical advantages when compared with other numerical methods such as the Finite Element Methods (FEM), and presenting a stress field more accurate and smooth when compared with the FEM [5].
