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Bending of the Laminated Plates with Various Boundary Conditions Based on Higher Order Shear Deformation Theory (HSDT)

Bending of the orthotopic plates based on higher order transverse shear deformation theory (HSDT) is considered. The principle of virtual work method is used to derive seven governing equations and corresponding boundary conditions. These equations and eighteen relationships between resultant stress and displacement components comprise a "first order partial differential equations". The equations are solved by General Differential Quadrature (GDQ) method. Numerical results are obtained for plates with simply supported boundary conditions and free edges to verify the proposed method.