复合材料层合板的一种高阶理论

本文提出了一种关于复合材料层合板弯曲的高阶理论，将层合板的位移分层假设为三次函数，考虑了层间界面位移和应力的连续条件以及各层的横向剪切效应，根据内力等效建立平衡方程，导出该高阶理论的控制微分方程式。通过实验计算说明，文中提出的高阶理论具有收敛快、精度高等优点。

A High Order Theory of Composite Laminated Plates

In this paper, a higher-order deformation theory of bending laminated comPosite plates is pres ented. In any lamina, a displacement field in which the inplane displacements are expanded as cubicfunctions of the thickness coordinate and the transverse denection is constant through plate thicknessThe continuous conditions of displacements and stresses in the surface of lamina, and the effect ofthe transverse shear are considered. According to the equivalents of interanal forces, the governingdifferential equations of the higher- order deformation theory are derived. By numericalcalculation, it may be seen that the higher-order deformation theory presented in this paper havethe advantage of convergence and accuracy.