Scale factors (SFs) are widely used in engineering applications to describe the stress concentration factor (SCF) of a finite width isotropic plate with a circular hole and under uniaxial loading. In this paper, these SFs were also found to be valid in an isotropic plate with biaxial loading and an isotropic cylinder with uniaxial loading or internal pressure, if a suitable hole to structure di...

A mathematical model for analyzing horizontally polarized shear surface (SH) waves propagating in laminated plates is presented. All the layers are assumed to have monoclinic symmetry. Three types of boundary conditions imposed on the outer surfaces of a plate are considered. A variant of the modified transfer matrix (MTM) method is developed. Closed form dispersion relations are obtained for p...

In this paper, the free vibration analysis of sandwich micro beam with piezoelectric layers based on the modified couple stress and surface elasticity theories are investigated. The Hamilton’s principle is employed to derive the sandwich micro beam with piezoelectric based on modified couple stress theory incorporating with Gurtin- Murdoch surface theory. The generalized differential quadrature...

The present work aims to study the free vibration, buckling and post-buckling behaviors of bidirectional functionally graded (BDFG) microbeams. material properties a BDFG microbeam were varied continuously in both thickness axial directions. Furthermore, four different kinds distribution function taken into consideration, two which symmetrical direction, remaining asymmetrical. Employing Timosh...

This paper presents a differential quadrature solution for analysis of transverse vibrations of non-homogeneous rectangular orthotropic plates of linearly varying thickness resting on Winkler foundation. Following Lévy approach i.e. two parallel edges are simply supported, the governing equation of motion has been solved for three different combinations of clamped, simply supported and free bou...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

Porous materials are lightweight, flexible and resistant to hairline cracks, so today with the development of technology porous structure produced for use in various industries. This structure widely use in beams, plates and shells. The purpose of this paper is to investigate the effect of porosity in axial symmetry in bending and buckling load sheet for analysis. For this purpose, a circular p...

Based on 3-D elasticity approach, differential quadrature method (DQM) in axial direction is adopted along with Globalized Nelder–Mead (GNM) algorithm to optimize the stacking sequence of a laminated cylindrical shell. The anisotropic cylindrical shell has finite length with simply supported boundary conditions. The elasticity approach, combining the state space method and DQM is used to obtain...