横观各向同性轴对称问题的非协调元和杂交应力元计算

基于变分原理得出各向同性轴对称问题下的非协调元和杂交应力元方法仍然适用于分析横观各向同性轴对称问题的结论，同时对应用于各向同性问题的罚平衡优化方法进行了修改，使之能够应用于横观各向同性问题的分析。文中给出了分析算例。并对各种单元结果进行了比较，计算结果表明非协调元和杂交应力元方法不但适用于横观各向同性轴对称问题分析，而且将提高其数值解的精度，改善单元内部应力分布。

Axisymmetric analysis of transversely isotropic material using incompatible FEM and hybrid stress FEM

Based on variational principle, this paper gets the conclusion that the incompatible FEM and hybrid stress FEM is also be applicable axisymmetric analysis of transversely isotropic material, and a penalty equilibrium optimization method presented by C.C. Wu is modified to analysis this kind of problems. Several examples and corresponding results demonstrate that the incompatible FEM and hybrid stress FEM can improve the numerical precision and give better element stress distributing than general displacement finite element, and the penalty equilibrium optimization finite element has the best characteristic in all the elements. The method can also easily be used in sloving the problems of transversely isotropic material besides axisymmetric problem.