CLOSED-FORM SOLUTIONS FOR LAMINATED COMPOSITE AND SANDWICH BEAMS LOADED BY TEMPERATURE FIELD

摘要

A thermal analysis is presented for a simply supported composite laminated and sandwich beams. Two-layer antisymmetric and three-layer symmetric composite laminated beams are taken into account to evaluate thermal stresses and displacements. A parabolic shear deformation theory is used. Further, the theory is extended to investigate the thermal response of three-layer and five-layer sandwich beams. The axial displacement field of this theory consists of third-order polynomial in the thickness coordinate to include the shear deformation effect and quadratic variation of the transverse shear stress. The theory satisfies the stress-free boundary conditions at the top and bottom of the beam. The principle of virtual work is used to obtain the governing equations and boundary conditions. Closed-form solutions are obtained. Me results obtained by the present theory are compared with the classical beam theory, sinusoidal shear deformation theory, and exact solutions wherever available.