多边形应力杂交单元的接触算法研究

杨锋; 郭然

doi:10.21656/1000-0887.400046

多边形应力杂交单元的接触算法研究

doi: 10.21656/1000-0887.400046

杨锋,
郭然

昆明理工大学建筑工程学院, 昆明 650000

基金项目: 国家自然科学基金（11572142）

详细信息

作者简介:
杨锋（1994—），男，硕士(E-mail: yangfeng329@163.com);郭然（1968—），男，教授，博士，博士生导师（通讯作者. E-mail: prof.guo@189.cn）.

中图分类号: O343.3
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- 被引次数: 0
出版历程
- 收稿日期: 2019-01-25
- 修回日期: 2019-03-08
- 刊出日期: 2019-10-01

Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method

YANG Feng,
GUO Ran

College of Architecture Engineering, Kunming University of Science and Technology, Kunming 650000, P.R.China

Funds: The National Natural Science Foundation of China（11572142）

摘要

摘要: 针对单元较小的情况下，现有的非均匀模型难以得到精确应力场和应力集中现象的问题，采用直接约束法，提出了一种基于多边形应力杂交单元的优化接触算法.多边形应力杂交单元在应力函数的构造以及积分区域划分上的优势，使其能适应复杂的模型边界与材料边界，更易划分网格.根据上述理论研究成果编制了完整的计算程序，算例结果发现该方法能够得到粉末压制过程的宏观非线性力学响应、高精度的应力场以及明显的应力集中现象，为复杂优化问题的求解提供了有效手段.
- 多边形应力杂交单元 /
- 直接约束法 /
- 接触算法
Abstract: In the case of small elements, it is difficult to obtain accurate stress fields and stress concentration with existing nonuniform models. An optimization algorithm for the theory of the PHSEM (polygonal hybrid stress element method) was proposed with the direct restriction method. The advantages of the PHSEM in the construction of stress functions and the division of integral regions make it more suitable for complex model boundaries and material boundaries and easier to realize-element meshing. The complete computing program was made according to the theoretical analysis. The results show that, the PHSEM can obtain macroscopic nonlinear mechanical responses, highly accurate stress fields and obvious stress concentration phenomena in the powder compaction process, which provides an effective means for the solution of the complex optimization problems.
- polygonal hybrid stress element /
- direct restriction /
- contact algorithm

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