In this paper, the influence of the elastic foundation on the free vibration and buckling of thin-walled piezoelectric-based functionally graded materials (FGM) cylindrical shells under combined loadings is investigated. The equations of motion are obtained by using the principle of Hamilton and Maxwell's equations and the Navier's type solution used to solve these equations. Material propertie...

This paper contains a strain gradient theory to capture size effects in rotating nanodisks of variable thickness under thermal and mechanical loading. Material properties of nanodisks have been taken homogeneous material. The strain gradient theory and the Hamilton’s principle are employed to derive the governing equations. Due to complexity of the governing differential equation and boundary c...

Anisotropic strain gradient elasticity theory is applied to the solution of a mode III crack in a functionally graded material. The theory possesses two material characteristic lengths, , and ,8, which describe the size scale effect resulting from the underlining microstructure, and are associated to volumetric and surface strain energy, respectively. The governing differential equation of the ...

This paper deals with local buckling analysis of rectangular functionally graded material plates using finite strip method and based on classical plate theory. The modulus of elasticity of the plate is assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents. The principle of minimum total potential energy is employed to obtain stiffness and sta...

1. Abstract Functionally Graded Materials (FGMs) possess continuously graded material properties and are characterized by spatially varying microstructures. Such materials are studied in conjunction with the concept of topology optimization design which determines holes and connectivities of the structure by adding and removing material in the extended fixed design domain. The objective is to d...

The present paper aims to develop a micromechanics-based effective elastic model of functionally graded composites. At the macroscopic scale, effective material properties of the composites are uniform in the same graded layer while gradually changing along the grading direction. Microstructurally, infinite particles are randomly dispersed in the matrix with gradual transitions. Particles are a...

this article gives an approach to predict the springbackward phenomena during post solidification cooling in a functionally graded hybrid composite cylindrical shell with transverse isotropic structure. here the material properties are considered to be given with a general parabolic power-law function. during theoretical analysis, appropriate transform is introduced in the equilibrium equation ...

ÐA functionally graded composite is prepared and the spatial gradation of Young's modulus in the functionally graded material (FGM) is measured. Elastic modulus gradients occur over length scales suitable for experimental mechanics investigations using optical interferometry. Crack tip ®elds are mapped in the FGM under quasi-static loading conditions with cracks oriented perpendicular to the di...