Comparison of Johnson-Mehl-Avrami-Kologoromov kinetics with a phase-field model for microstructural evolution driven by substructure energy
Comparison of Johnson-Mehl-Avrami-Kologoromov kinetics with a phase-field model for microstructural evolution driven by substructure energy
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Johnson-Mehl-Avrami-Kologoromov 动力学与亚结构能量驱动的微观结构演化相场模型的比较
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
M. Lusk
中科院分区：
文献类型：
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作者：
H. Jou;M. Lusk
再结晶晶粒或珠光体菌落的形核和生长可以看作是一种结构相变，并可以用一组相场方程来模拟。这种微力学公式与导出Johnson-Mehl-Avrami-Kologoromov （JMAK）方程的观点是一致的，并且提供了本质上相同的体积分数动力学。这种差异可以用在制定JMAK方程时所作的理想化来解释。与JMAK方程相比，微力学模型基于更少的理想化，提供了有关微观结构的详细信息，并自然地扩展到包括非等温条件、各向异性和机械效应。这使得它既可以作为一个独立的微观力学模型，也可以作为开发更先进的体积分数动力学理论的工具。
The nucleation and growth of recrystallized grains or pearlite colonies can be viewed as a structural phase transition and modeled with a set of phase-field equations. Such a micromechanical formulation is consistent with the viewpoint taken in deriving the Johnson-Mehl-Avrami-Kologoromov (JMAK) equation and delivers essentially the same volume fraction kinetics. The differences can be explained in terms of the idealizations made in formulating the JMAK equation. The micromechanical model is based on fewer idealizations than the JMAK equation, provides detailed information about microstructure, and extends naturally to include nonisothermal conditions, anisotropy, and mechanical effects. This allows it to be used as either a stand alone micromechanical model or as a tool in developing more advanced volume fraction kinetics theories.