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Advances in Materials Science and Engineering
Volume 2017 (2017), Article ID 8670207, 10 pages
Research Article

Finite Element Analysis of Bend Test of Sandwich Structures Using Strain Energy Based Homogenization Method

1Mechanical Engineering Department, University of Jeddah, Jeddah, Saudi Arabia
2Mechanical Engineering Department, University of Tunis El Manar, ENIT, Tunis, Tunisia
3Industrial Engineering Department, University of Jeddah, Jeddah, Saudi Arabia
4Chemical Engineering Department, University of Jeddah, Jeddah, Saudi Arabia

Correspondence should be addressed to Hassan Ijaz

Received 23 February 2017; Revised 11 April 2017; Accepted 20 April 2017; Published 11 June 2017

Academic Editor: Frederic Dumur

Copyright © 2017 Hassan Ijaz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this article is to present a simplified methodology for analysis of sandwich structures using the homogenization method. This methodology is based upon the strain energy criterion. Normally, sandwich structures are composed of hexagonal core and face sheets and a complete and complex hexagonal core is modeled for finite element (FE) structural analysis. In the present work, the hexagonal core is replaced by a simple equivalent volume for FE analysis. The properties of an equivalent volume were calculated by taking a single representative cell for the entire core structure and the analysis was performed to determine the effective elastic orthotropic modulus of the equivalent volume. Since each elemental cell of the hexagonal core repeats itself within the in-plane direction, periodic boundary conditions were applied to the single cell to obtain the more realistic values of effective modulus. A sandwich beam was then modeled using determined effective properties. 3D FE analysis of Three- and Four-Point Bend Tests (3PBT and 4PBT) for sandwich structures having an equivalent polypropylene honeycomb core and Glass Fiber Reinforced Plastic (GFRP) composite face sheets are performed in the present study. The authenticity of the proposed methodology has been verified by comparing the simulation results with the experimental bend test results on hexagonal core sandwich beams.