Thermomechanical behavior of Macro and Nano FGM sandwich plates

Soumia Benguediab , Tayeb Kebir , Fatima Zohra Kettaf , Ahmed Amine Daikh , Abdelouahed Tounsi , Mohamed Benguediab , Mohamed A. Eltaher

Abstract

In this work, the static behavior of FGM macro and nano-plates under thermomechanical loading. Equilibrium equations are determined by using virtual work principle and local and non-local theory. The novelty of the current model is using a new displacement field with four variables and a warping function considering the effect of shear. Through this analysis, the considered sandwich FGM macro and nanoplates are a homogeneous core and PFGM faces, homogeneous faces and an E-FGM core and finally P-FGM faces and an E-FGM core. The analytical solution is obtained by using Navier method. The model is verified with previous published works by other models and very close results are obtained within maximum 1% deviation. The numerical results are performed to present the influence of the various parameters such as, geometric ratios, material index as well as the scale parameters are investigated. The present model can be applicable for sandwich FG plates used in nuclear, aero-space, marine, civil and mechanical applications.

Key Words

functionally graded material; local and nonlocal theory; nanoplate structure; new plate displacement field; sandwich structure; static analysis

Address

Soumia Benguediab — Department of Civil Engineering and Hydraulic, Faculty of Technology, University of Saida, Algeria
Tayeb Kebir — Department of Technical Sciences Center University Salhi Ahmed, Naâma 45000, Algeria
Fatima Zohra Kettaf — Department of Mechanical Engineering, University of Sciences and Technology Mohamed Boudiaf Oran, Algeria
Ahmed Amine Daikh — Department of Technical Sciences Center University Salhi Ahmed, Naâma 45000, Algeria; Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, Mascara 29000, Algeria
Abdelouahed Tounsi — Laboratory of Materials and Hydrology, Faculty of Technology, University of Sidi Bel Abbes, Algeria
Mohamed Benguediab — Laboratory of Materials and Reactive Systems, Faculty of Technology, University of Sidi Bel Abbes, Algeria
Mohamed A. Eltaher — Faculty of Engineering, Mechanical Design and Production Dept, Zagazig University, Zagazig, Egypt; Faculty of Engineering, Mechanical Engineering Department, King Abdulaziz University, Jeddah, P.O. Box80204, Saudi Arabia

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