Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers

A complete analytical model, which incorporates shear deformation as well as transverse normal thermal strains is assessed for the thermal stress analysis of cross-ply laminates subjected to linear or gradient thermal profile across thickness of the laminate. Primary displacement field is expanded in the thickness direction using twelve degrees of freedom. Equilibrium equations in the present higher order shear and normal deformation theory (HOSNT12) are variationally consistent and obtained using principle of virtual work [1]. Numerical results of displacements and stresses are compared with three dimensional (3D) elasticity solution and other two dimensional (2D) models.