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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 order to improve the accuracy of interlayer stress calculation of laminated plates, the basic displacement mode of Reddy-type high-order shear theory is improved and the overall-local 1, 3 high-order displacement modes are proposed. Under the condition of continuous stress and free upper and lower surfaces, compared with the holistic-local 1, 2 and 3 displacement modes proposed by our predecessors, the independent variables at each node of the laminated slab structure are reduced from 13 to 11, The numerical solutions of the displacements and stresses of the whole-local 1, 3 high-order displacement modes are compared with the analytical solutions to verify the accuracy of the overall-local 1, 3 displacement modes and can be applied to the displacement of the composite laminates And stress analysis.