Solving Elasto-Static Problem in Plane Stress Case By Meshfree Method

Abstract

Computational numerical simulation has increasingly become a very important approach for solving complex practical problems in engineering and science. It provides an alternative tool of scientific investigation, instead of carrying out expensive, time-consuming experiments in laboratories. Mesh free (MF) methods are among the breed of numerical analysis technique that are being vigorously developed to avoid the drawbacks that traditional methods like Finite Element method (FEM) possess. The Element Free Galerkin (EFG) method is a meshless method in which only a set of nodes and a description of model’s boundary are required to generate the discrete equations. Although it is considered meshless, the EFG utilizes a background mesh to assembly the equations system that describes the problem. In this paper the EFG method is applied to 2-D beam problem and results obtained using MATLAB program are compared with the analytical solution by using Timoshenko Beam Theory.