A nonlocal quasi-3D theory for thermal free vibration analysis of functionally graded material nanoplates resting on elastic foundation. (August 2021)

• Record Type: Journal Article
• Authors: Pham, Quoc-Hoa; Tran, Van Ke; Tran, Trung Thanh; Nguyen-Thoi, Trung; Nguyen, Phu-Cuong; Pham, Van Dong
• Is Part Of: Case studies in thermal engineering. Volume 26(2021)
• Publication Date: 2021-08
• Subjects: Quasi-3D -- Nonlocal elasticity theory -- Free vibration -- Elastic foundation -- Functionally graded material -- Finite element method -- Nanoplates; Heat engineering -- Case studies -- Periodicals; 621.40205
• DOI: 10.1016/j.csite.2021.101170
• Languages: English
• ISSNs: 2214-157X

Abstract

Abstract: This article proposes a finite element method (FEM) based on a quasi-3D nonlocal theory to study the free vibration of functionally graded material (FGM) nanoplates lying on the elastic foundation (EF) in the thermal environment. By applying Hamilton's principle, the governing equations of FGM nanoplates on the EF are obtained. Using the FEM helps solve many complicated problems that analytical solution (AS) cannot be performed yet, such as complex structures, asymmetric problems, variable thickness, etc. The numerical results of this work are compared with those of other published researches to verify accuracy and reliability. In addition, the effects of geometrical parameters, material properties such as the thickness, material exponents, nonlocal coefficients, elastic foundation stiffness, boundary conditions (BCs), and temperature on the free vibration of nanoplates are comprehensively investigated.