| 多边形应力杂交单元的接触算法研究 |
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| 引用本文： | 杨锋,郭然. 多边形应力杂交单元的接触算法研究[J]. 应用数学和力学, 2019, 40(10): 1059-1070. DOI: 10.21656/1000-0887.400046 |
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| 作者姓名： | 杨锋 郭然 |
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| 作者单位： | 昆明理工大学 建筑工程学院, 昆明 650000 |
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| 基金项目： | 国家自然科学基金（11572142） |
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| 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.
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| 关 键 词： | 多边形应力杂交单元 直接约束法 接触算法 |
| 收稿时间： | 2019-01-25 |
Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method |
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| Affiliation: | College of Architecture Engineering, Kunming University of Science and Technology, Kunming 650000, P.R.China |
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| 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. |
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