Bending Analysis of Thick Isotropic Plates by Using 5th Order Shear Deformation Theory

A 5th order shear deformation theory considering transverse shear deformation effect as well as transverse normal straindeformation effect is presented for static flexure analysis of simply supported isotropic plate. The assumed displacementfield accounts for non-linear variation of in-plane displacements as well as transverse displacement through the platethickness. The condition of zero transverse shear stresses on the upper and lower surface of plate is satisfied. Hence thepresent formulation does not require the shear correction factor generally associated with the first order shear deformabletheory. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Closedformanalytical solutions for simply supported square isotropic thick plates subjected to single sinusoidal distributed loadsare obtained. Numerical results for static flexure analysis include the effects of side to thickness ratio and plate aspect ratiofor simply supported isotropic plates. Numerical results are obtained using MATLAB programming. The results of presenttheory are in close agreement with those of higher order shear deformation theories and exact 3D elasticity solutions

کلیدواژه ها:

Thick isotropic plate ، 5th order shear deformation theory ، static flexure ، transverse shear stress ، transverse normal stress ، Navier solution