Bending and buckling of porous multidirectional functionality graded sandwich plate

Lazreg Hadji, Fabrice Bernard, Royal Madan, Ali Alnujaie and Mofareh Hassan Ghazwani

Abstract

Bending and buckling analysis of multi-directional porous functionally graded sandwich plate has been performed for two cases namely: FG skin with homogeneous core and FG core with homogeneous skin. The principle of virtual displacements was employed and the solution was obtained using Navier's technique. This theory imposes traction-free boundary conditions on the surfaces and does not require shear correction factors. The validation of the present study has been performed with those available in the literature. The composition of metal-ceramic-based FGM changes in longitudinal and transverse directions according to the power law. Different porosity laws, such as uniform distribution, unevenly and logarithmically uneven distributions were used to mimic the imperfections in the functionally graded material that were introduced during the fabrication process. Several sandwich plates schemes were studied based on the plate's symmetry and the thickness of each layer. The effects of grading parameters and porosity laws on the bending and buckling of sandwich plates were examined.

Key Words

bending; buckling; multi-directional FGM; Navier

Address

Lazreg Hadji: 1Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret, 14000, Algeria; Laboratory of Geomatics and Sustainable Development, University of Tiaret, 14000, Algeria; Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam Fabrice Bernard: 4Laboratory of Civil Engineering and Mechanical Engineering, INSA Rennes, University of Rennes, France Royal Madan: Department of Mechanical Engineering, G H Raisoni Institute of Engineering & Technology, Nagpur, Maharashtra, 440016, India Ali Alnujaie, Mofareh Hassan Ghazwani: Mechanical Engineering Department, Faculty of Engineering, Jazan University, P.O. Box 114, Jazan, 45142, Kingdom of Saudi Arabia

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