Thermomechanical bending study for functionally graded sandwich plates using a simple quasi-3D shear deformation theory

Djaloul Zarga , Abdelouahed Tounsi , Abdelmoumen Anis Bousahla , Fouad Bourada , S.R. Mahmoud

Abstract

In this article, a simple quasi-3D shear deformation theory is employed for thermo-mechanical bending analysis of functionally graded material (FGM) sandwich plates. The displacement field is defined using only 5 variables as the first order shear deformation theory (FSDT). Unlike the other high order shear deformation theories (HSDTs), the present formulation considers a new kinematic which includes undetermined integral variables. The governing equations are determined based on the principle of virtual work and then they are solved via Navier method. Analytical solutions are proposed to provide the deflections and stresses of simply supported FGM sandwich structures. Comparative examples are presented to demonstrate the accuracy of the present theory. The effects of gradient index, geometrical parameters and thermal load on thermo-mechanical bending response of the FG sandwich plates are examined.

Key Words

sandwich plate; thermo-mechanical; quasi-3D HSDT; functionally graded material

Address

(1) Djaloul Zarga, Abdelouahed Tounsi, Fouad Bourada — Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
(2) Abdelouahed Tounsi — Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
(3) Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria
(4) Abdelmoumen Anis Bousahla — Centre Universitaire Ahmed Zabana de Relizane, Algeria
(5) Fouad Bourada — Département des Sciences et de la Technologie, centre universitaire de Tissemsilt, BP 38004 Ben Hamouda, Algérie
(6) S.R. Mahmoud — Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

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