A New Inverse Hyperbolic Shear Deformation theory for Static Analysis of Laminated Composite Beam

In this paper, a new inverse hyperbolic shear deformation theory is proposed, formulated and validated for a variety of numerical examples of laminated composite beam for the static responses. The proposed theory based upon shear strain shape function yields nonlinear distribution of transverse shear stresses and also satisfies traction free boundary conditions. Principle of virtual work is employed to develop the governing differential equations. A Levy type closed form solution methodology is also proposed for crossply simply supported beams which limits applicability. However, it provides accurate solution which is free from any numerical /computational error. It is observed that the present theory can be more accurately applied for the modeling of laminated composite beams at the same computational cost as that of other shear deformation theories.