Romesh C. Batra

TL;DR: In this paper, a three-dimensional exact solution for free and forced vibrations of simply supported functionally graded rectangular plates is presented, where suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.

TL;DR: In this paper, an exact solution is obtained for three-dimensional deformations of a simply supported functionally graded rectangular plate subjected to mechanical and thermal loads on its top and/or bottom surfaces.

TL;DR: In this paper, the authors used a higher-order shear and normal deformable plate theory (HOSNDPT) and a meshless local Petrov-Galerkin (MLPG) method to analyze static deformations and free and forced vibrations of a thick rectangular functionally graded elastic plate.

TL;DR: In this article, the effect of the aspect ratio of the plate and the volume fractions of the constituents on the centroidal deflection were scrutinized and the computed results were found to agree well with the solution of the problem.

TL;DR: In this paper, the first and third-order shear deformation plate theories, the Mori-Tanaka technique, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates.