Abstract The explicit expression of Eshelby tensors for one-dimensional (1D) hexagonal quasicrystal composites is presented by using Green’s function method. closed forms in the special cases spheroid, elliptic cylinder, ribbon-like, penny-shaped, and rod-shaped inclusions embedded 1D matrices are given. As an application tensors, analytical expressions effective properties derived based on Mor...

A three-dimensional exact solution is presented for free and forced vibrations of simply supported functionally graded rectangular plates. Suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series me...

In this work, some solutions such as Mori-Tanaka approximation (MTA), Differential approximations (DA), and Fast Fourier transformation method (FFT) were applied to estimate the elastic bulk shear modulus of three-phase composites in 2D. which two different sizes circular inclusions are arranged randomly non-overlapping a continuous matrix. The numerical using FFT analysis compared with DA, MTA...

We investigate the mechanical property predictions for a three-phase viscoelastic (VE) composite by the use of two micromechanical models: the original Mori–Tanaka (MT) method and an extension of the Mori–Tanaka solution developed by Benveniste to treat fibers with interphase regions. These micro-mechanical solutions were compared to a suitable finite-element analysis, which provided the benchm...

An exact solution is obtained for three-dimensional deformations of a simply supported functionally graded rectangular plate subjected to mechanical and thermal loads on its top and/or bottom surfaces. Suitable temperature and displacement functions that identically satisfy boundary conditions at the edges are used to reduce the partial differential equations governing the thermomechanical defo...

A size-dependent strain gradient Mori-Tanaka model (SGMT) is developed by applying strain gradient elasticity to the classical Mori-Tanka (M-T) method. The SGMT model is shown to be able to accurately predict the experimentally observed increase in stiffness of a layerby-layer (LBL)-assembled polyurethane-montmorillonite (PU-MTM) nanocomposite with various volume fractions. 3D Finite Element (F...

In this work, elastic fiber reinforced composite materials consisting of several layers are considered. Each layer is assumed to be a unidirectional composite. The interface between perfect, which means the displacement and traction through interfaces continuous. To predict overall behavior considered two step homogenization procedure first step, effective properties predicted based on Mori-Tan...