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| 合金凝固过程中等轴枝晶生长的数学模型 | |
| 引用本文： | 张云鹏,杨秉俭,苏俊义,王贻青. 合金凝固过程中等轴枝晶生长的数学模型[J]. 西安理工大学学报, 1998, 14(3): 271-275 |
| 作者姓名： | 张云鹏 杨秉俭 苏俊义 王贻青 |
| 作者单位： | 1. 西安交通大学机械工程学院;西安理工大学铸铁研究所 2. 西安交通大学机械工程学院 3. 西安理工大学铸铁研究所 |
| 基金项目： | 机械工业部教育司科技基金，西安交通大学科技基金 |
| 摘 要： | 在枝晶晶粒的尺度上，从同时满足溶质守恒与热平衡的原则出发，提出了合金凝固过程中等轴枝晶生长的数学模型。该模型由４个相互联系的微分方程组成，可通过计算机求解，为模拟枝晶合金凝固组织的形成过程奠定了初步基础。 |
| 关 键 词： | 凝固模拟，枝晶生长，数学模型 |
Mathematical Model for Equiaxed Dendritic Growth in Solidification Process of Alloys |
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| Zhang Yunpeng,Yang Bingjian,Su Junyi,Wang Yiqing. Mathematical Model for Equiaxed Dendritic Growth in Solidification Process of Alloys[J]. Journal of Xi'an University of Technology, 1998, 14(3): 271-275 | |
| Authors: | Zhang Yunpeng Yang Bingjian Su Junyi Wang Yiqing |
| Abstract: | Proceeded from the topological characteristics of Geared Linkage Mechanisms(GLM) structure, a fully new graph, combinatorial graph, which can be used to describe the topological relationship in a Geared Linkage Kinematic Chain (GLKC), is firstly proposed. Then the corresponding matrix, combinatorial matrix, and the structural invariants of GLKC are presented. Based on the structural invariants, the difficult problem for detecting isomorphism among GLKCs is solved successfully using the powers of combinatorial matrix. Finally, the method for detecting isomorphism among GLKCs, which based on strong basis of graph theory, is suggested. A computer program based on these procedures has been applied successfully for detecting isomorphism among both the planar kinematic chains and GLKCs. |
| Keywords: | GLKC topological representation isomorphism detection combinatorial graph combinatorial matrix generalized distance structural invariant powers of matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |