A model for the sintering of spherical particles of different sizes by solid state diffusion
A model for the sintering of spherical particles of different sizes by solid state diffusion
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DOI：
10.1016/s1359-6454(98)00144-x
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发表时间：
1998-08
期刊：
影响因子：
9.4
通讯作者：
Jing-Song Pan;H. Le;S. Kucherenko;J. Yeomans
中科院分区：
文献类型：
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作者：
Jing-Song Pan;H. Le;S. Kucherenko;J. Yeomans
本文采用Pan和Cocks（Acta metall. 43，1395-1406，1995）通过耦合晶界和表面扩散来模拟两种不同尺寸的球形颗粒的共烧结过程。数值分析揭示了许多有趣的功能的共烧结过程。例如，发现两种颗粒之间的收缩不受两种颗粒的尺寸差异的显著影响，只要该差异小于50%。基于数值计算结果，建立了共烧结过程特征时间和两颗粒间收缩率的经验公式。该经验公式可用于开发考虑颗粒尺寸分布影响的粉末压坯烧结早期本构关系。为了证明这一点，致密化速率方程与双峰粒度分布的压坯。
In this paper the numerical scheme developed by Pan and Cocks (Acta metall. 43, 1395–1406, 1995) is used to simulate the co-sintering process of two spherical particles of different sizes by coupled grain-boundary and surface diffusion. The numerical analysis reveals many interesting features of the co-sintering process. For example, it is found that the shrinkage between the two particles is not affected significantly by the size difference of the two particles as long as the difference is less than 50%. Based on the numerical results, empirical formulae for the characteristic time of the co-sintering process and for the shrinkage rate between the two particles are established. The empirical formulae can be used to develop constitutive laws for early-stage sintering of powder compacts which take into account the effect of particle size distribution. To demonstrate this, a densification rate equation for compacts with bimodal particle size distributions is derived.