General Theory on Stress Analysis of Laminated Composite Beam Pressed By Distributed Loading
Hu Weiping,Meng Qingchun,Zhang Xing
(Division 508, Beijing University of Aeronautics and Astronautics, 100083) 

Abstract: A general theory on stress analysis of laminated composite beam pressed by distributed loading is presented for overcoming the defect of classical beam theory and improving the precision of interfacial stress analysis. By means of the principle of superposition, the loading state of composite laminated beam is decomposed into symmetric and anti-symmetric states. The Fourier series and Legendre series are applied to describe the displacement field of each composite ply and glue layer in above states. The principle of generalized potential energy is used to determine the unknown coefficients of the above series. In addition, the glue layers are considered to be of finite thickness and finite elastic constants in the analysis. The computational results show that the displacements and stresses converge very well, the distributions of transversal shearing stress and transversal normal stress obtained from constitutive equation agree with that obtained from equilibrium equation very well.
Keywords: laminated composite beam, principle of superposition, fourier series, legendre series, principle of generalized potential energy.