Science and Education Publishing American Journal of Mechanical Engineering 1 7 2013 11 11 Meshless Local Petrov-Galerkin Formulation for Static Analysis of Composite Plates Reinforced by Unidirectional Fibers 461 469 EN Milan Žmindák Department of Applied Mechanics, University of Žilina, Žilina, Slovak Republicy Daniel Riecky Zoran Pelagić Martin Dudinsky AJME20131762 10.12691/ajme-1-7-62 2013 10 18 2013 10 31 2013 11 11 This paper deals with the application of meshless methods for the analysis of composite plates. The main attention is focused on the implementation of the Meshless Local Petrov Galerkin (MLPG) formulation for multilayered orthotropic plates. At first for this purpose the implementation of homogenization theory was needed and analyzes were made to obtain homogenized material properties of composite plates. The software for homogenization of material properties uses direct homogenization method that is based on volume average of stresses on the representative volume element (RVE). Homogenization is performed by a multi software approach, by linking MATLAB and ANSYS software. Then data obtained are used in analyzes performed in user own software, which is based on the MLPG method. Strain, stress and displacement fields were analyzed. Results obtained by MLPG were compared with those obtained by FEM programs, ANSYS and ABAQUS.