Published Paper Details:

The design addressed the study of beams and thin plates subjected to plane stress adopting the meshless approach, ELEMENT FREE GALERKIN. This involves a detailed study of the Element Free Galerkin Method consisting of its expression, mode of application, its advantages and disadvantages along with a brief study of the analysis of thin plates and beams. The presently developed EFG technique is a truly meshless technique, as it doesn't bear the mesh, either for the construction of the shape functions, or for the integration of the original weak form. To properly understand the reason and functioning of the technique, a MATLAB software was created to analyse a Timoshenko Beam Problem utilising EFGM. Several cases of plane stress were considered in the design similar as beams subordinated to point loads and slightly distributed loads, and plates with varying shapes and boundary conditions using MFree2D simulation package. The major points of this design were twofold. first, to test the delicacy of the Element Free Galerkin Method by comparing it to accurate theoretical values, and second, to solve some common issues related to plates by the Element Free Galerkin Method.