关键词:  , 脱层, 复合材料, 梁, Fourier展开, 接触应力, 弹性力学解

Abstract:

Taking the twolayer simplesupported composite beam with one delamination as example, this paper studies the effect of delamination on the stress and displacement distributions of the beam under static loads. Separating the beam into two parts along the delamination, the elasticity solution of each layer has been given respectively. The vertical point forces are used to replace the distributive contact stresses between the upper and lower surfaces of the delamination. The interface equations are regrouped along the beam length. The new interface equations are expanded by using the Fourier transformation. Combining to the condition of zero vertical displacements at contact points and using the sign of the contact forces to distinguish the case of true contacts, the interference of the displacements between the upper and lower surfaces of the delamination has been successfully solved by using the iterative calculations. High accuracy solution has been obtained. Excellent consistency of the present solutions and the finite element solutions from the commercial program ANSYS has been observed.

Key words: delamination, composite material, beam, Fourier transformation, contact stress, elasticity solution