In this work, we study the vibration and bending response of functionally graded gra-phene platelets reinforced composite (FG-GPLRC) rectangular plates embedded on different sub-strates 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 pre-dictions performed in the commercial COMSOL code, and similar outcomes available in the litera-ture. 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 rein-forcing phase, as well as the surrounding environment and boundary conditions, with very inter-esting insights from a scientific and design standpoint.
Theoretical and numerical solution for the bending and frequency response of graphene reinforced nanocomposite rectangular plates
Dimitri R.;Tornabene F.
2021-01-01
Abstract
In this work, we study the vibration and bending response of functionally graded gra-phene platelets reinforced composite (FG-GPLRC) rectangular plates embedded on different sub-strates 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 pre-dictions performed in the commercial COMSOL code, and similar outcomes available in the litera-ture. 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 rein-forcing phase, as well as the surrounding environment and boundary conditions, with very inter-esting insights from a scientific and design standpoint.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
