Original Article On vibration of functionally graded sandwich nanoplates in the thermal environment Ahmed Amine Daikh 1 , Ahmed Drai 2 , Ismail Bensaid 3 , Mohammed Sid Ahmed Houari 4,5 and Abdelouahed Tounsi 5,6 Abstract This paper deals with the free vibration response of rectangular functionally graded material sandwich nanoplates with simply supported boundary conditions. The material properties of the FGM layers are temperature-dependent and supposed to be graded continuously along the thickness direction. A simple power-law distribution in terms of the volume fractions of the material constituents is employed to obtained the effective material properties. Eringen’s nonlocal elasticity model is incorporated in order to take into account the small size effects. Two types of functionally graded material sandwich nanoplates are considered: a sandwich with functionally graded material face layers and homogeneous core, and a sandwich with homogeneous face layers and functionally graded material core. The equations of motion of the functionally graded material sandwich nanoplates are derived by using the higher shear deformation theory and the Hamilton’s variational principle, and solved using the Navier’s solutions. 1 Mechanics of Structures and Solids Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria 2 Department of Mechanical Engineering, University of Mustapha Stambouli, Mascara, Algeria 3 Mechanical Engineering Department, IS2M Laboratory, Faculty of Technology, University of Tlemcen, Algeria 4 Department of Civil Engineering, University of Mustapha Stambouli, Mascara, Algeria 5 Civil Engineering Department, Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria 6 Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Eastern Province, Saudi Arabia Corresponding author: Ahmed Amine Daikh, Mechanics of structures and solids Laboratory, Facultyof Technology, University of Sidi Bel Abbes, Algeria. Email: daikhresearch@gmail.com Journal of Sandwich Structures and Materials 0(0) 1–28 ! The Author(s) 2020 Article reuse guidelines: sagepub.com/journals-permissions DOI: 10.1177/1099636220909790 journals.sagepub.com/home/jsm