含分层损伤轴对称复合材料层合壳的高阶理论及有限元分析

A high\|order theory and finite element analysis for axis\|symmetrical composite laminated shell with delamination

提出一种轴对称旋转壳的高阶理论有限元分析模型，采用勒让德多项式逼近位移场沿轴对称壳体厚度方向的变化规律，对含分层损伤的轴对称层合壳体结构，构造了一种轴对称分层损伤模型，对分层区域内的弯曲刚度和横向剪切刚度作了修正． 由典型算例讨论，研究了具有相同分层损伤面积层合壳的损伤分布与位置对其变形的影响．

A high order theory and corresponding finite element formula of the axis\|symmetrical composite laminated shells are presented. An axis\|symmetrical delamination model is also constructed for studying deformation characteristic of the axis\|symmetrical composite laminated shells embedding a delamination damage. The Legengre polynomials are adopted in the displacement field across the shell thickness, which satisfies the free shear stress boundary conditions at the upper and bottom surfaces of both shells and delaminated sublaminates. A methodology is proposed for modifying the flexural and transverse shear rigidities. Numerical results and discussions of some typical examples show that the influence of distributions and locations of delaminations on the deflection behavior is significant.