Theoretical and Numerical Solution for the Bending and Frequency Response of Graphene Reinforced Nanocomposite Rectangular Plates

Applied Sciences

Francesco Tornabene¹  Rossana Dimitri¹  Ali Forooghi²  Mehran Safarpour² 

[1] Department of Innovation Engineering, University of Salento, 73100 Lecce, Italy;Department of Mechanical Engineering, Tarbiat Modares University, Tehran 14115-336, Iran;

关键词: FG-GPL;    GDQ;    heat transfer equation;    higher-order shear deformation theory;   

DOI  :  10.3390/app11146331

来源: DOAJ

【 摘 要 】

In this work, we study the vibration and bending response of functionally graded graphene platelets reinforced composite (FG-GPLRC) rectangular plates embedded on different substrates and thermal conditions. The governing equations of the problem along with boundary conditions are determined by employing the minimum total potential energy and Hamilton’s principle, within a higher-order shear deformation theoretical setting. The problem is solved both theoretically and numerically by means of a Navier-type exact solution and a generalized differential quadrature (GDQ) method, respectively, whose results are successfully validated against the finite element predictions performed in the commercial COMSOL code, and similar outcomes available in the literature. A large parametric study is developed to check for the sensitivity of the response to different foundation properties, graphene platelets (GPL) distribution patterns, volume fractions of the reinforcing phase, as well as the surrounding environment and boundary conditions, with very interesting insights from a scientific and design standpoint.

【 授权许可】

Unknown