基于整体局部1,3位移模式的层合板层间应力研究

Investigation on Interlaminar Stress of Laminated Plate Based on Global-Local 1,3 Displacement Mode

为提高层合板层间应力计算的准确性,对Reddy型高阶剪切理论的基本位移模式进行改进,提出整体-局部1,3高阶位移模式.在满足层间位移连续,层间剪切应力连续,以及上下表面自由的条件下,与前人提出的整体-局部1,2-3位移模式相比,层合板板结构每个节点的独立变量由13缩减到11,并且不随层数的增加而变化.将整体-局部1,3高阶位移模式位移和应力的数值解与解析解进行对比,验证了整体-局部1,3位移模式的准确性,可应用于复合材料层合板的位移和应力分析.

In this paper, the basic displacement mode of Reddy＇s higher-order shear deformation theory was developed to improve the computational accuracy of the interlaminar stress. The global-local 1,3 higher-order displacement mode was proposed, in which the continuity conditions of interlaminar displacement and shear stress as well as the free conditions of the upper and lower surfaces were satisfied. Compared to the former global-local 1,2-3 displacement mode for composite laminates, the number of the independent variables was reduced from 13 to 11, which does not vary with the number of plies. Finally, the numerical results were compared with the exact solution. It is verified that the accuracy of the global-local 1,3 displacement mode is significantly improved, which can be used for the displacement and stress analysis of composite laminated plates.