Meshless Local Petrov-Galerkin Formulation for Static Analysis of Composite Plates Reinforced by Unidirectional Fibers

Milan Žmindák^1, , Daniel Riecky², Zoran Pelagić¹ and Martin Dudinsky¹

¹Department of Applied Mechanics, University of Žilina, Žilina, Slovak Republicy

²Plastic Omnium Auto Exteriors, Ltd., Slovak Republic

Cite this paper:
Milan Žmindák, Daniel Riecky, Zoran Pelagić and Martin Dudinsky. Meshless Local Petrov-Galerkin Formulation for Static Analysis of Composite Plates Reinforced by Unidirectional Fibers. American Journal of Mechanical Engineering. 2013; 1(7):461-469. doi: 10.12691/ajme-1-7-62

Abstract

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.

Keywords:
composite plates homogenization meshless local Petrov-Galerkin method

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