连续相场模型在微观结构演化过程模拟中的应用

Application of Continuum Phase-Field in Modeling of Microstructure Evolution Process

简要介绍了连续相场方法,包括:连续界面近似;有保守场变量和非保守场变量组成的相场变量;微观结构演化的化学驱动力,如体自由能、界面能、弹性畸变能、外场能量等;连续相场模型中的动力学方程,其中保守场变量在时间和空间上的演化遵循Cahn-Hilliard的非线性扩散方程,非保守场变量遵循Allen-Cahn弛豫方程;动力学方程的常见数值解法。最后还简要介绍了几种常见的相场模型。

Continuum phase-field methods are introduced briefly, including diffuse interface approach, field variables which include conserved and non-conserved field variables, driving force of microstructure evolution, such as bulk energy, interface energy, elastic misfit energy, applied field energy and so on. Kinetics equations are also intro- duced, wherein conserved field variables govern the Cahn-Hilliard nonlinear diffusion equation and nowconserved field variables govern the Allen-Cahn relaxation equation. Some useful methods for numerical solution of phase^field equa- tions are also introduced. Furthermore, some phase-field models are introduced.