Computational Materials Science ( IF 3.3 ) Pub Date : 2021-08-20 , DOI: 10.1016/j.commatsci.2021.110786 Y. Rezaei 1 , M. Jafari 2 , M. Jamshidian 3
A constitutive model for diffuse interface description of magnetic field-induced grain boundary migration in polycrystalline metals is developed based on the laws of thermodynamics. Within this phase field modeling framework, simultaneous minimization of the total grain boundary energy and the stored magnetic energy within grains provides the driving force for grain growth in a polycrystal material exposure to a magnetic field. Using the available experimental data, phase field simulations of magnetic field induced grain growth in bicrystalline zinc and polycrystalline titanium with two-dimensional columnar microstructure are performed and the model is validated by demonstrating a qualitative and quantitative match with experimental data. Using the validated constitutive model, the effects of magnetic field intensity and direction on evolution of microstructure and polycrystalline texture in titanium are investigated. Quantitative simulation results show that under certain magnetic field directions and sufficient magnetic field intensity, the magnetic energy minimizing driving force can overcome the curvature driving force and cause texture evolution towards less magnetic energy grain orientations during annealing. However, magnetic fields with insufficient intensity or improper direction have negligible effect on grain coarsening by nearly normal grain growth. The desired magnetic field direction and intensity are quantitatively presented for cold-rolled and annealed sheet titanium samples.
中文翻译:
多晶金属中磁场诱导晶粒生长的相场建模
基于热力学定律,开发了多晶金属中磁场引起的晶界迁移的扩散界面描述的本构模型。在该相场建模框架内,同时最小化总晶界能量和晶粒内存储的磁能为暴露于磁场的多晶材料中的晶粒生长提供驱动力。使用可用的实验数据,对二维柱状微观结构的双晶锌和多晶钛中磁场诱导的晶粒生长进行相场模拟,并通过证明与实验数据的定性和定量匹配来验证模型。使用经过验证的本构模型,研究了磁场强度和磁场方向对钛微观结构和多晶织构演变的影响。定量模拟结果表明,在一定的磁场方向和足够的磁场强度下,磁能最小化驱动力可以克服曲率驱动力,在退火过程中使织构向低磁能晶粒取向演化。然而,强度不足或方向不当的磁场对几乎正常的晶粒生长导致的晶粒粗化的影响可以忽略不计。对于冷轧和退火钛板样品,定量地呈现了所需的磁场方向和强度。定量模拟结果表明,在一定的磁场方向和足够的磁场强度下,磁能最小化驱动力可以克服曲率驱动力,在退火过程中使织构向低磁能晶粒取向演化。然而,强度不足或方向不当的磁场对几乎正常的晶粒生长导致的晶粒粗化的影响可以忽略不计。对于冷轧和退火钛板样品,定量地呈现了所需的磁场方向和强度。定量模拟结果表明,在一定的磁场方向和足够的磁场强度下,磁能最小化驱动力可以克服曲率驱动力,在退火过程中使织构向低磁能晶粒取向演化。然而,强度不足或方向不当的磁场对几乎正常的晶粒生长导致的晶粒粗化的影响可以忽略不计。对于冷轧和退火钛板样品,定量地呈现了所需的磁场方向和强度。强度不足或方向不当的磁场对几乎正常的晶粒生长导致的晶粒粗化的影响可以忽略不计。对于冷轧和退火钛板样品,定量地呈现了所需的磁场方向和强度。强度不足或方向不当的磁场对几乎正常的晶粒生长导致的晶粒粗化的影响可以忽略不计。对于冷轧和退火钛板样品,定量地呈现了所需的磁场方向和强度。