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该文基于可动边界变分原理对层合梁脱层扩展进行了分析,分析中考虑脱层间的接触效应,建立了层合梁在横向线动载荷作用下的非线性控制微分方程及相应的定解条件;同时应用Griffith准则,导出了脱层前缘各点处的能量释放率表达式;算例中讨论了脱层长度、脱层深度、几何尺寸及材料性质等因素对脱层扩展的影响。研究表明:脱层梁承受横向拉力作用时,其发生脱层扩展的可能性要比承受横向压力时大得多;脱层越长、动载荷幅值越大,脱层越容易扩展;脱层越深、梁的长高比L/h及材料的E11/E22比值越大,脱层发生扩展的可能性越小。
In this paper, the delamination expansion of laminated beams is analyzed based on the principle of variable boundary conditions. The contact effect between delaminations is considered in the analysis, and the nonlinear governing differential equations of laminated beams subjected to lateral linear dynamic loads are established. In addition, the Griffith criterion was used to derive the expression of energy release rate at each point of the front edge of the delamination. In the example, the delamination extension, delamination depth, geometry size and material properties were discussed. Impact. The results show that the delamination beam is more likely to delaminate and expand than the lateral pressure when it is subjected to transverse pulling force. The longer the delamination, the larger the dynamic load amplitude is, the easier it is to delaminate. The deeper the ratio of the height-to-height ratio of the beam L / h to the material E11 / E22, the less likely it is that the delamination will expand.