复合材料层合梁分层问题解析解法

根据叠加原理将含有分层的复合材料层合梁在横向载荷作用下的受力状态分解为对称与反对称受力状态,再将反对称受力状态分解为无分层梁受反对称横向载荷状态与含分层梁在分层表面承受附加剪切载荷状态.将分层问题归结为在附加剪切载荷状态中,层合梁附加位移与附加应力的分析,并据此建立了一个简单的力学模型.最后,根据工程梁理论得到了由分层引起的附加位移与应力的解析解答,并用能量释放率方法确定了应力强度因子.

Analytical Method of Solution on Delamination in Symmetrical Orthogonal Composite Laminated Beams

Using the principle of superposition, the transverse loading state of a laminated beam with delaminations is divided into symmetric and antisymmetric states. Furthermore, the antisymmetric loading state is subdivided into the antisymmetric transverse loading state acting on a beam without delamination and the additional shear loading state which is applied along the delamination surfaces of the laminated beam. Therefore, the problem of delamination can be reduced to the analysis about the additional displacements and stresses which are caused by the additional shear loading. Then, a simple mechanics model about delamination is established. Finally, the analytical solutions of displacement and stress are determined by the theory of engineering beam. The stress intensity factor is obtained by the energy release rate method.