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In this paper, an analytical solution is presented for vibration behaviour analysis of functionally graded materials plates (FGM). During manufacture of these plates, defects such as porosities can appear. Those can change the entire behaviour of these plates. A method based on a higher shear deformation theory will be presented to study the free vibration of FGM plates resting on elastic foundation. Two different porosity distributions through thickness direction of plate will be retained. The elasticity moduli and mass density of these plates are assumed to be graded in the thickness direction according two distribution patterns. The governing equations are obtained through the Hamilton's principal and the closed form solutions in terms of natural frequencies are obtained by using Navier technique. The numerical results obtained through the present analysis are compared with the ones available in the literature, and a parametric study is carried out to investigate the influence of the varying porosity distributions on the vibration response of FGM plates resting on elastic foundation. [ABSTRACT FROM AUTHOR]

In this paper, an elastic, rectangular, and simply supported, power-law functionally graded material (P-FGM) beam of thick thickness subjected to uniformly distributed transverse loading has been investigated. The P-FGM system consists of ceramic (ZrO2) and metal (Ti-6Al-4V) phases varying through the thickness of beam. Major classes of representative theories such as classical laminate beam theory (CLBT), first-order shear deformation theory (FSDBT) and high-order theories (TSDBT), (SSDBT) and (ESDBT). The Poisson's ratio of the thick P-FGM beam is assumed to be constant, but their Young's moduli vary continuously throughout the thickness direction according to the volume fraction of constituents defined by power-law function. The analytical solution of the rectangular beams in P-FGM subjected to the inflection is obtained, by using the approach of Navier. Qualitative and quantitative assessments of displacement and stress fields have been presented and discussed. [ABSTRACT FROM AUTHOR]