复合材料叠层结构边缘应力分析的翘曲修正模型

研究复合材料叠层结构在单轴拉伸状态下的边缘应力问题。在厚度方向 ,利用翘曲修正理论 ,推导出了叠层板三个方向的位移分布规律 ;在宽度方向 ,采用升阶谱位移模式 ;应用虚功原理 ,给出了叠层板边缘应力分析的特殊有限元模型。通过典型例题的计算表明 :边缘应力计算结果与精确弹性解符合很好 ,还进行了收敛性的研究。本文方法的自由度度少 ,方法简单 ,优于差分法、常规有限元法 ,适用于解决边缘效应问题

Sectional Warping Corrective Model for Free Edge Stresses in Composite Laminates

The edge stress problem in composite laminates under uniform axial extension is analyzed. The displacement distribution in three directions along the thickness are derived respectively by use of the sectional warping corrective theory, and the hierarchical displacement functions are adopted in the width direction. Finally, based on the principle of virtual work, a special finite element model for boundary layer effects is obtained. Accuracy and convergence of the solution are studied, and the present results are compared with those of the existing finite difference and conventional finite element methods. It is shown that the present stresses result is in good agreement with the exact solution, and the effectiveness of the present model for analyzing free edge stresses is ascertained. The present model is simple while the degree of freedom is lower than that of the other numerical methods.