Solution of 2D cantilever beam by using the element free Galerkin method with the finite element method
Articles > Article · 2009
Authors: Mahmut PEKEDİS, Hasan YILDIZ
Pamukkale University Journal of Engineering Sciences, Journal Indexed in ESCI, International, Scopus, 2009, vol 27, pp 26-38
Summary
<p>The Element Free Galerkin (EFG) method based on Galerkin formulation, which was developed as an alternative to the finite element method has been used widely in solution of engineering problems for last two decades. In this study, new and popular EFG method was applied to a simple solid mechanics problem. As a numerical example, a 2D elastic cantilever beam fixed at one end and subjected to traction at the other free end is investigated. Moving least squares approximation is used as a shape functions. Displacement values <em>u</em>x and <em>u</em>y and solution time obtained by using EFG are compared with analytical solution and the finite element results. As a result, it can be concluded that the accuracy and efficiency of element free Galerkin method solutions are better than the results of the finite element method.</p><p><strong>Keywords: </strong>Messless methods, the finite element method, element free galerkin, cantilever beam.</p>