NUMERICAL SIMULATION BASED ON MESHLESS FORMULATION. APPLICATION TO 2D SOLID MECHANICS

摘要

This paper presents the development of Meshless Methods based on Moving Least Square Approximation (MLSA) [3][10][14]. In the case of solid mechanics, the shape displacement functions are computed for each node with a centered scheme approximation [3] [12] associated with a specific weight function [10]. Both interpolated and approximated weight functions are studied [10] [9] [15]. We propose to build a new C~1 weight function based on a 2d boundary line. The Galerkin Method is used to solve the mechanical equilibrium balance problems [14]. A 2-dimensional example is presented to validate the Meshless Method.