Abstract: In this paper, the imbue layers caused by the banding layer of the composite material are considered as the functionally graded materials, and the Young’s modulus is graded through the thickness following the exponential-law and the Poisson’s ratio keeps constant. According to the governing equations of plane stress problems, the general expressions of displacements, which exactly satisfy the governing differential equations and the simply-supposed boundary conditions at two ends of the beam are deduced. Afterwards, the unknown coefficients are determined by using the upper surface and lower surface conditions of the laminated beam. Finally, the displacements and stresses in the beam are given by substituting the unknown coefficients back to the recurrent formulae. Detailed analysis compared with sandwich beams, results show that the existence of imbue layer has a certain positive role to reduce the stress of the interface layer mutation and the overall displacement of beam, and the imbue layer is thicker, the effect is more obviously.

Key words: composite material, beam, imbue layer, functionally graded, elasticity solutions