tailieunhanh - An improved radial point interpolation method applied for elastic problem with functionally graded material

In this paper introduce a new way to improve the speed and time calculations, by construction and evaluation the support domain. From the analysis of two-dimensional thin plates with different profiles, structured conventional isotropic materials and functional graded materials (FGM). | TAÏP CHÍ PHAÙT TRIEÅN KH&CN, TAÄP 18, SOÁ K4- 2015 An improved radial point interpolation method applied for elastic problem with functionally graded material Phung Quoc Viet Nguyen Thanh Nha Truong Tich Thien Ho Chi Minh city University of Technology, VNU-HCM (Manuscript Received on August 01st, 2015, Manuscript Revised August 27th, 2015) ABSTRACT: A meshless method based on radial point interpolation was developed as an effective tool for solving partial differential equations, and has been widely applied to a number of different problems. Besides its advantages, in this paper we introduce a new way to improve the speed and time calculations, by construction and evaluation the support domain. From the analysis of two-dimensional thin plates with different profiles, structured conventional isotropic materials and functional graded materials (FGM), the results are compared with the results had done before that indicates: on the one hand shows the accuracy when using the new way, on the other hand shows the time count as more economical. Keywords: Meshless Method, Radial Basis Function, Radial Point Interpolation, FGM 1. INTRO DUCTIO N In recent years, meshless methods have been widely used to solve partial differential equations (PDEs), Element Method free Galerkin (EFG) functions, this job is simple but yet in the process of building the shape functions of the system contemplated node will vary depending on the proposed by Belytschko [1], this method allows the construction of technical shape functions by approximately moving least squares (MSL) [2], position of the interpolation point, so it will take more time. In this article we use RPIM to define support domain to save time, corporeality: which does not require the connection between the nodes to build the interpolation function in the distribution contemplated [3]. The interpolation method through the center point (RPIM) [4] is an approach that is important for the grid boundary value problem. .