APPLICATION OF HIGH ORDER BASIS FUNCTIONS IN SOLID MECHANICS BY ELEMENT FREE GALERKIN (EFG) METHOD

The aim of this research is to investigate the effect of basis functions order, on the error norm, in EFG method. For this purpose, a cantilever elastic beam is considered. To get rid of the singularity, the essential boundary conditions, based on analytical solution, are applied by using both Lagrange Approach and Penalty Function, separately. In this research, the effect of some parameters like radius of support, order of basis functions, number of points within the domain of influence and density of background mesh on the computational error has been investigated. The sensitivity of the accuracy criteria, i.e. energy norm and displacements, corresponding to the different values of penalty factor and also the order of basis functions has been examined.