ISSN 2319-5347, ISI Impact Factor: 0.763

VOLUME 04  NO. 03 JULY 2015:

Title:         Potential applicability of mesh–free method using penalty approach
Authors: Muthu Vijay P., Nandakishore, Bhavana Patel, K. S. Babunarayan
Abstract:   The accuracy of a FEM solution depends upon how well the structure is discretized, whereas Mesh free method works on the nodes and their domains to arrive at the solution without discretization of the structure. An attempt has been made to develop a purely mesh less method. An example has been illustrated to demonstrate the potential application of the same. No background mesh is employed in this process even for nodal integration. Complexity involved with the numerical integration using Gaussian quadrature is completely ruled out. MLS procedure is deployed to arrive at the shape functions. Penalty approach is used to enforce the boundary condition. An algorithm based on MATLAB coding is developed to obtain displacement profile along the length of the 2-D cantilever loaded with a point load at free end. The result obtained shows good agreement with the analytical solution and FEM solution.
Keywords: Mesh-free method, Moving Least Square, EFG, Penalty method, nodal direct integration, purely meshless method, shape function, MATLAB coding

pages                131-137

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