Abstract Natural rocks are polymineral composites with complex microstructures. Such strong heterogeneities significantly affect the estimation of effective moduli by some theoretical models. First, we have compared isotropic predicted Kuster–Toksöz (KT) model and Mori–Tanaka (MT) model. The widely used KT only has finite precision in many cases because its assumption that is restricted to firs...

An equivalent continuum model based on the Eshelby-Mori-Tanaka approach was employed to estimate the effective constitutive law for an elastic isotropic medium (i.e., the matrix) with oriented straight carbon nanotubes (CNTs). The two-dimensional generalized differential quadrature method was an efficient and accurate numerical tool for discretizing equations of motion and for implementing vari...

This paper describes the application of refined plate theory to investigate free vibration and buckling analyses of functionally graded nanocomposite plates reinforced by aggregated carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, satisfying the zer...

In this paper, a refined plate theory is applied to investigate the free vibration analysis of functionally graded nanocomposite sandwich plates reinforced by randomly oriented straight carbon nanotube (CNT). The refined shear deformation plate theory (RSDT) uses only four independent unknowns and accounts for a quadratic variation of the transverse shear strains across the thickness, and satis...

The recently developed variational framework for polarization methods in nanocomposites is applied to the determination of a lower-bound on the shear modulus of a nanocomposite with monosized, spherical inclusions. This bound explicitly accounts for linear elastic effects in the matrix-inclusion interface. Even if the polarization fields involved in its derivation are much more intricate, this ...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...

In this work, a mathematical modeling is developed to estimate the ageing macroscopic response and effective behavior of viscoelastic composites. The directly in time domain by considering Volterra tensorial integral product describing local governing equations. dynamic Green’s tensor introduced order solve partial differential equations for dependent displacement make transition between fields...

in this study, dynamic buckling of embedded laminated nanocomposite plates is investigated. the plates are reinforced with single-walled carbon nanotubes (swcnts) where to obtain the equivalent material properties of them, mori-tanaka model is applied. based on the sinusoidal shear deformation theory (ssdt), the motion equations are derived using energy method and hamilton's principal. the...

The objective of this paper is to predict the different damage mechanisms in multiple scales that can occur a cross ply composite material loaded uniaxial tension. simulated consists four epoxy-glass fibre layers [0/90]s and each layer transversely isotropic with viscous effects occurred from micromechanical homogenization using Mori-Tanaka formulation, extended for visco-elastic materials. For...