复合材料大层数层压矩形截面杆的扭转问题分析

本文根据有效弹性模量理论［１］，采用三维八节点等参数有限元和整体—局部方法，对复合材料大层数矩形厚截面层压杆的扭转问题及其自由边缘效应进行了分析研究，通过算例计算给出了剪切应力在横截面内的分布规律、杆的扭转变形及其在自由边缘区域层间应力的分布情况·由于本文的分析方法可根据需要仅在应力梯度较大的局部区域，按单层逐层划分单元或在单层内再细化单元，以求得单层内精确的应力场和位移场，因此能显著节约计算量与机时，为具有大层数层压杆的扭转强度计算提供了一种有效的方法·

Torsion of Composite Laminated Bars with a Large Number of Layers

In view of the effective elastic moduli theory , analyzing the thick composite laminated bars subjected to an externally applied torque are presented by three_dimensional finite element(3-D FEM) and global_local method in this paper. Numerical results involving the distribution of shearing stresses on cross section and the torsional deformation and the interlaminar stresses near to free edges are given. If necessary elements discretization may be densely carried out only in the high stress gradient region. Obviously, it requirs less computer memory and computational time so that it offers an effective way for evaluating strength of laminated bars torsion with a great number of layers.