复合材料层合曲梁分层问题的解析解法

根据叠加原理将含有分层的复合材料层合曲梁在横向载荷作用下的受力状态分解为在面受力状态与出面受力状态,再将出面受力状态分解为无分层曲梁受横向载荷状态与含分层曲梁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 CURVED BEAMS

Using the principle of superposition, the transverse loading state of a laminated curved beam with delaminations is divided into in mid-surface and out-off mid-surface loading states. Furthermore, the out-off mid-surface loading state is subdivided into the transverse loading state acting on a curved 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 changed 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 additional displacements and stresses are determined by the theory of engineering beam, and the stress intensity factor is obtained by the energy release rate method.