Mechanical buckling response of isotropic and orthotropic plates using the two variable refined plate theory is presented in this paper. The takes account transverse shear effects parabolic distribution strains through thickness plate; hence it unnecessary to use correction factors. Governing equations are derived from principle virtual displacements. nonlinear strain-displacement Von Karman re...

A theoretical analysis of the buckling mono-axially compressed rectangular grid is carried out. The composed two orthogonal orders continuous beams, simply supported at ends. critical load determined by different models: (i) Kirchhoff’s homogeneous orthotropic plate, and (ii) a system solved Rayleigh-Ritz method. Parametric studies are out numerical examples developed. analytical solutions vali...

Abstract Free vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on nonlocal elasticity theory. developed method uses Ritz as well R-function theory for construction system coordinate functions. linear frequencies obtained a rectangular plate two cutouts opposite sides, while boundary conditions several types, including simply s...

An analysis of heat transfer in the flow of a viscous, in-compressible fluid along an infinite porous plate is presented when the plate is subjected to a transverse sinusoidal suction. The flow field becomes three-dimensional due to this type of suction velocity. Expressions for the flow and temperature fields are obtained by series expansion method. It is found during the course of discussion ...

The study is devoted to the development of bimoment theory and method for calculating thick plates in framework three-dimensional elasticity. basic relations equations motion plate presented are constructed with respect forces, moments bimoments arising from nonlinearity law distribution displacements stresses over thickness. Bending vibrations isotropic orthotropic considered an example calcul...