Modelling of non-isothermal transformations in alloys containing a particle distribution
Modelling of non-isothermal transformations in alloys containing a particle distribution
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DOI：
10.1016/s1359-6454(99)00435-8
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发表时间：
2000-04-19
期刊：
影响因子：
9.4
通讯作者：
Grong, O
中科院分区：
文献类型：
--
作者：
Myhr, OR;Grong, O
提出了基于有限差分方法的稀释合金中耦合成核、生长和粗化建模的框架。根据假设，颗粒分布被分为一系列离散尺寸类别，每个类别由一个控制体积表示。通过应用控制演化方程离散化的标准程序，可以在热循环期间的每个时间步计算进出控制体积的粒子的辅助量。该模型的基本特征在各种数值示例和案例研究中得到了说明，其中过去流程步骤的记忆可能会对整体转换行为产生影响。其中包括在理想条件下模拟时效硬化 Al-Mg-Si 合金的上淬火和线性加热，假设球形颗粒具有均匀的热力学性质。 (C) 2000 Acta Metallurgica Inc. 由 Elsevier Science Ltd 出版。保留所有权利。
A framework for modelling coupled nucleation, growth and coarsening in diluted alloys is presented, based on the method of finite differences.. According to the assumptions, the particle distribution is divided into a series of discrete size classes, each represented by a control volume. By applying a standard procedure for discretization of the governing evolution equation, the Aux of particles in and out of the control volumes can be calculated at each time step during thermal cycling. The essential features of the model are illustrated in various numerical examples and case studies, where the memory of a past process step is likely to have an effect on the overall transformation behaviour. These include simulation of up-quenching and linear heating of age hardening Al-Mg-Si alloys under idealized conditions, assuming spherical particles with uniform thermodynamic properties. (C) 2000 Acta Metallurgica Inc. Published by Elsevier Science Ltd. All rights reserved.