复合材料层合梁非对称分层问题的解析解法

根据叠加原理将含有非对称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和反对称情况,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,利用能量释放率方法确定了应力强度因子,计算分析了分层区长度与层板厚度对附加位移的影响。 

ANALYTICAL METHOD OF SOLUTION ON ASYMMETRIC DELAMINATION IN SYMMETRIC ORTHOGONAL COMPOSITE LAMINATED BEAMS

Using the principle of superposition, the transverse loading state of a laminated beam with a delamination is divided into symmetric and antisymmetric states. The problem of the delamination can be reduced to the analysis about the additional displacements and stresses which are caused by the additional shear loading. Then a simple mechanical model about the delamination is established. Finally, the analytical solutions of displacement and stress are established by the theory of engineering beam. Using the energy release rate method, one can get the stress intensity factor of the delamination.