Three-dimensional simulation of sintering crunodes of metal powders or fibers by level set method
来源期刊：中南大学学报(英文版)2015年第7期
论文作者：CHEN Dong-dong ZHENG Zhou-shun WANG Jian-zhong TANG Hui-ping QU Xuan-hui
文章页码：2446 - 2455
Key words：metal fiber; metal powder; sintering crunodes; mean curvature; three-dimensional simulation
Abstract: The difference of sintering crunodes of metal powders and fibers is discussed. The mathematical model of the surface diffusion described by the difference in mean curvature is defined as a Hamilton-Jacobi-type equation, and the model is numerically solved by the level set method. The three-dimensional numerical simulations of two metal powders and fibers (the fiber angle is 0° or 90°) are implemented by this mathematical model, respectively. The numerical simulation results accord with the experimental ones. The sintering neck growth trends of metal powders and metal fibers are similar. The sintering neck radius of metal fibers is larger than that of metal powders. The difference of the neck radius is caused by the difference of geometric structure which makes an important influence on the curvature affecting the migration rate of atoms.
CHEN Dong-dong(谌东东)1, ZHENG Zhou-shun(郑洲顺)1, WANG Jian-zhong(王建忠)2, TANG Hui-ping(汤慧萍)2, QU Xuan-hui(曲选辉)3
(1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;
2. State Key Laboratory of Porous Metal Materials (Northwest Institute for Nonferrous Metal Research),
Xi’an 710016, China;
3. School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China)
Abstract:The difference of sintering crunodes of metal powders and fibers is discussed. The mathematical model of the surface diffusion described by the difference in mean curvature is defined as a Hamilton-Jacobi-type equation, and the model is numerically solved by the level set method. The three-dimensional numerical simulations of two metal powders and fibers (the fiber angle is 0° or 90°) are implemented by this mathematical model, respectively. The numerical simulation results accord with the experimental ones. The sintering neck growth trends of metal powders and metal fibers are similar. The sintering neck radius of metal fibers is larger than that of metal powders. The difference of the neck radius is caused by the difference of geometric structure which makes an important influence on the curvature affecting the migration rate of atoms.
Key words:metal fiber; metal powder; sintering crunodes; mean curvature; three-dimensional simulation
