Bending Analysis of Orthotropic Plate using 5th Order Shear Deformation Theory

Abstract

An extension of fifth order shear deformation theory which take into account transverse shear and normal strain deformation effect is presented for bending analysis of thick orthotropic square plate. The assumed displacement field accounts for non-linear variation of in-plane displacement as well as transverse displacement through the plate thickness. The closed form solution for analysis of simply supported orthotropic plates have been obtained using Navier solution. Numerical analysis is done using MATLAB software. The results of present theory are compared with the results obtained from classical plate theory, first order shear deformation theory, higher order shear deformation theory, trigonometric shear deformation theory and exact solutions. The results obtained from the present theory are found to be in good agreement with those obtained from higher order theories and exact solution.