| 万力,郭乙木.横观各向同性轴对称问题的非协调元和杂交应力元计算[J].计算力学学报,2003,20(1):81~84 |
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| 横观各向同性轴对称问题的非协调元和杂交应力元计算 |
| Axisymmetric analysis of transversely isotropic material using incompatible FEM and hybrid stress FEM |
| 修订日期：2001-03-12 |
| DOI：10.7511/jslx20031017 |
| 中文关键词: 横观各向同性 轴对称 杂交应力元 非协调元 罚平衡优化 |
| 英文关键词:transversely isotropic,axisymmetric,hybrid FEM,incompatible FEM,penalty equilibrium optimization method |
| 基金项目:辽宁省教委课题(992721687). |
| 万力 郭乙木 |
| 浙江大学工程力学系，浙江大学工程力学系 浙江杭州310027，浙江杭州310027 |
| 摘要点击次数: 1387 |
| 全文下载次数: 8 |
| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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