Buckling behaviors of FG porous sandwich plates with metallic foam cores resting on elastic foundation

Abdelkader Tamrabet , Belgacem Mamen , Abderrahmane Menasria , Abdelhakim Bouhadra , Abdelouahed Tounsi , Mofareh Hassan Ghazwani , Ali Alnujaie , S.R. Mahmoud

Abstract

The main objective of this paper is to study the effect of porosity on the buckling behavior of thick functionally graded sandwich plate resting on various boundary conditions under different in-plane loads. The formulation is made for a newly developed sandwich plate using a functional gradient material based on a modified power law function of symmetric and asymmetric configuration. Four different porosity distribution are considered and varied in accordance with material propriety variation in the thickness direction of the face sheets of sandwich plate, metal foam also is considered in this study on the second model of sandwich which containing metal foam core and FGM face sheets. New quasi-3D high shear deformation theory is used here for this investigate; the present kinematic model introduces only six variables with stretching effect by adopting a new indeterminate integral variable in the displacement field. The stability equations are obtained by Hamilton's principle then solved by generalized solution. The effect of Pasternak and Winkler elastic foundations also including here. the present model validated with those found in the open literature, then the impact of different parameters: porosities index, foam cells distribution, boundary conditions, elastic foundation, power law index, ratio aspect, side-to-thickness ratio and different in-plane axial loads on the variation of the buckling behavior are demonstrated.

Key Words

buckling behavior; functionally graded materials; metal foam; porosity; sandwich plate

Address

Abdelkader Tamrabet — Department of Civil Engineering, University of Ferhat Abbas-Setif1, Faculty of Technology, Algeria; Research Unit of Emerging Materials, University of Ferhat Abbas-Setif1, Algeria
Belgacem Mamen — Department of Civil Engineering, Faculty of Science and Technology, University of Abbes Laghrour Khenchela, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Abderrahmane Menasria — Department of Civil Engineering, Faculty of Science and Technology, University of Abbes Laghrour Khenchela, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Abdelhakim Bouhadra — Department of Civil Engineering, Faculty of Science and Technology, University of Abbes Laghrour Khenchela, Algeria; Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mofareh Hassan Ghazwani — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Saudia Arabia
Ali Alnujaie — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Saudia Arabia
S.R. Mahmoud — GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia

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