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非均质混杂叠层梁的分层剪切理论
引用本文:李思简 伍章健. 非均质混杂叠层梁的分层剪切理论[J]. 复合材料学报, 1991, 8(4): 59-69
作者姓名:李思简 伍章健
作者单位:上海交通大学工程力学系,上海交通大学工程力学系 上海 200030,上海 200030
摘    要:本文研究了正交各向异性混杂叠层梁的应力与变形计算.叠层梁是由几层弹性性质明显不同的非均质子层梁组成.对每一子层梁应用剪切理论,并假设相邻子层梁的交界面是理想连接.文中导出了关于子层梁剪切转角ψi的二阶常微分方程组.求解微分方程组可得到叠层梁应力与位移关于剪切转角的ψi解析表达式.叠层梁组分材料中任一点应力可按有效模量理论和整体——局部方法[3]求得.

关 键 词:非均质  混杂叠层梁  剪切转角  剪切理论  子层梁  单层  单层条
收稿时间:1990-04-01

A SHEAR THEORY OF NONHOMOGENEOUS HYBRID LAMINATED BEAM
Li Sijian Wu Zhangjian. A SHEAR THEORY OF NONHOMOGENEOUS HYBRID LAMINATED BEAM[J]. Acta Materiae Compositae Sinica, 1991, 8(4): 59-69
Authors:Li Sijian Wu Zhangjian
Affiliation:Li Sijian Wu Zhangjian,Department of Engneering Mechanics,Shanghai Jiaotong Universitv,Shanghai 200030
Abstract:In this paper the stress and deformation in a orthotropic hybrid laminated beam are studied. The laminated beam consists of some nonhomo-geneous sub-layers, the elasticity of which is significantly different. The shear theory is applied to each sub-layers and the perfect bonding is assu-med in the interface between adjoining sub-layers. In this paper, a set of second-order ordinary differential equations with respect to the unknown rotation angle of each sub-layer is established. Solving the differential equa-tions, the displacement and stress can be analytically obtained. The stress in component materials can be determined by use of the effective modulus theory and global-local method.
Keywords:nonhomogeneous   hybrid laminated beam   shear rotation angle   shear theory   sub-layers beam   layer   strip  
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