A new solution in closed form is obtained for the thermomechanical deformations of an isotropic linear thermoelastic functionally graded elliptic plate rigidly clamped at the edges. The through-thickness variation of the volume fraction of the ceramic phase in a metal–ceramic plate is assumed to be given by a power-law type function. The effective material properties at a point are computed by ...

The free vibration of isotropic gradient elastic thick non-rectangular microplates is analyzed in this paper. To capture the microstructure-dependent effects microplates, a negative second-order theory with symmetry utilized. related equations motion and boundary conditions are obtained using energy variational principle. A closed-form solution presented for simply supported free-vibrational re...

In this paper, buckling behavior of moderately thick functionally graded rectangular plates resting on elastic foundation subjected to linearly varying in-plane loading is investigated. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. Based on the first-order shear deformation plate theory and the neutral s...

New families of exact general relativistic thick disks are constructed using the “displace, cut, fill and reflect” method. A class of functions used to “fill” the disks is derived imposing conditions on the first and second derivatives to generate physically acceptable disks. The analysis of the function’s curvature further restrict the ranges of the free parameters that allow phisically accept...

The propagation of leaky Lamb waves in a plate consisting of a general balanced symmetric composite material is considered. The problem has been examined both analytically as well as experimentally. An exact solution for the dispersion equation was obtained. Numerical results for complex‐valued wavenumber were obtained for an isotropic material (aluminum) and a (0/903)s graphite/epoxy laminate....

Mode selection of guided waves in an elastic steel plate with thick coating layer has been studied here. E€ect of both thick elastic coating and damping of the coating layer on the dispersion and mode shapes has been investigated and modes that are less a€ected by elastic coating and damping have been identi®ed. For modeling the viscoelastic behavior of the coating layer, the standard linear so...

In this article, the influence of hydrostatic stress and gravity on a clamped- free non homogeneous magneto electro elastic plate of polygonal cross sections is studied using linear theory of elasticity. The equations of motion based on two-dimensional theory of elasticity are applied under the plane strain assumption of prestressed and gravitated magneto electro elastic plate of polygonal cros...

This paper investigates the buckling of finite isotropic rectangular plates with circular cutout under uniaxial and biaxial loading. The complex potential method is used to calculate the pre-buckling stress distribution around the cutout in the plate with finite dimensions. To satisfy the in-plane boundary conditions, the generalized complex-potential functions are introduced and a new method b...