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中南大学学报(自然科学版)

Journal of Central South University

第48卷    第11期    总第279期    2017年11月

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文章编号:1672-7207(2017)11-2851-08
表面扩散机制下金属纤维烧结过程的数值模拟
宋敏1,郑洲顺1,谌东东2,曹稳1,傅太白1,汤慧萍3

(1. 中南大学 数学与统计学院,湖南 长沙,410083; 2. 中南大学 机电工程学院,湖南 长沙,410083; 3. 西北有色金属研究院 金属多孔材料国家重点实验室,陕西 西安,710016)

摘 要: 基于金属纤维烧结结点的不同截面为椭圆-椭圆结构,建立金属纤维烧结过程的表面扩散模型。用有限差分法对该非线性微分方程组进行数值求解,实现金属纤维烧结结点形成过程的数值模拟。以夹角为0°,45°和90°的金属纤维为主要研究对象,对其烧结过程进行数值模拟。研究结果表明:在初始烧结阶段,烧结颈半径会迅速长大,随着烧结过程的进行烧结颈生长速度逐渐减小。在相同纤维夹角的条件下,在锐角平分线截面的烧结颈半径生长速度比在钝角平分线截面快;在不同纤维夹角的条件下,纤维夹角越大,在沿钝角平分线截面烧结颈半径生长速度越快,而在锐角平分线截面情况相反。

 

关键词: 金属纤维;表面扩散;有限差分;烧结颈

Numerical simulation of metal fiber sintering by surface diffusion
SONG Min1, ZHENG Zhoushun1, CHEN Dongdong2, CAO Wen1, FU Taibai1, TANG Huiping3

1. School of Mathematics and Statistics, Central South University, Changsha 410083, China; 2. School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China; 3. State Key Laboratory of Porous Metal Materials, Northwest Institute for Nonferrous Metal Research, Xi’an 710016, China

Abstract:Based on the oval-oval structure of different sections of two intersecting metal fiber sintered node, the surface diffusion model of the sintering process of metal fibers was established. This model, which was the nonlinear partial differential equations, could be numerically solved by finite difference method, and the numerical simulation of the forming process of metal fiber sintered node could be realized. Focus on the metal fibers with the angle of 0°, 45°, and 90°, the numerical simulations were conducted, respectively. The results show that the sintering neck radius quickly grows in the initial sintering stage, and then the growth rate decreases gradually in the following sintering process. Under the condition of the same fiber angle, the neck radius at the section of the bisector of acute angle grows much faster than that at the section of the bisector of obtuse angle. Under the condition of different fiber angles, the larger the fiber angle is, the faster the growth rate of sintering neck at the section of the bisector of obtuse angle grows, and the situation at the section of the bisector of acute angle is opposite.

 

Key words: metal fiber; surface diffusion; finite difference; sintering neck

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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