in this article, thermal stability of beams made of functionally graded material (fgm) is considered. the derivations of equations are based on the one-dimensional theory of elasticity. the material properties vary continuously through the thickness direction. tanigawa's model for the variation of poisson's ratio, the modulus of shear stress, and the coefcient of thermal expansion is...

In this paper, the buckling and vibration behaviour of functionally graded flexoelectric nanobeam is examined. The vibration and buckling formulations of functionally graded nanobeam are developed by using a new theory that’s presented exclusively for flexoelecteric nano-materials. So by considering Von-Karman strain and forming enthalpy equation based on displacement, polarization and electric...

The aim of this paper is to investigate geometrically nonlinear static analysis of axially functionally graded cantilever beam subjected to transversal non follower load. The considered problem is solved by finite element method with total Lagrangian kinematic approach. The material properties of the beam vary along the longitudinal direction according to the power law function. The finite elem...

In this paper, vibration analysis of thick functionally graded beam with simply supported boundary condition under constant axial load is studied. The beam has a uniform cross-sectional area and the mechanical properties of the fungtionally graded beam are assumed to be vary through the thickness of the beam. Fundamental relations, the equilibrium and stability equations based on the displaceme...

The aim of this paper is to study the electro-mechanical coupling responses functionally graded (FG) piezoelectric cantilever nanobeam under concentrated load, and material properties follow an exponential distribution in thickness direction. constitutive equations are derived from electric Gibbs free energy density function. governing boundary conditions Euler–Bernoulli FG beam can be obtained...

In this paper, a radially piezoelectric functionally graded rotating disk is investigated by the analytical solution. The variation of material properties is assumed to follow a power law along the radial direction of the disk. Two resulting fully coupled differential equations in terms of the displacement and electric potential are solved directly. Numerical results for different profiles of i...

this paper deals with volume fraction optimization of functionally graded (fg) beams resting on elastic foundation for maximizing the first natural frequency. the two-constituent functionally graded beam consists of ceramic and metal. these constituents are graded through the thickness of beam according to a generalized power-law distribution. one of the advantages of using generalized power- l...

Abstract In this work, the state -space nonlocal strain gradient theory is used for vibration analysis of magneto thermo piezoelectric functionally graded material (FGM) nanobeam. An FGM constituent properties stated by using power law relations. The refined higher order beam and Hamilton’s principle have been to obtain motion equations. Besides, governing equations nanobeam are extracted devel...

This study presents the effect of porosity on mechanical behaviors of a power distribution functionally graded beam. The Euler-Bernoulli beam is assumed to describe the kinematic relations and constitutive equations. Because of technical problems, particle size shapes and micro-voids are created during the fabrication which should be taken into consideration. Two porosity models are proposed. T...