A Monte Carlo (MC) approach to model the evolution of microstructures during the binary alloy solidification process has been presented. The evolution of these microstructures is comprehensively modelled by ensuring a local minimization of free energy taking into account the contributions of the free energy change during phase transformation, solid-liquid interfacial energy, interfacial energy anisotropy and grain boundary energy, which are some of the ignored aspects of the existing MC models. Further, the effect of imposed orientation is also represented in this model. The proposed method is able to simulate the preferential growth of cubic structures in ⟨100⟩ direction, growth of large number of grains and competition among them, and also incorporates the grain boundary energetics. The model is applied to simulate the growth of free and constrained dendrites, the transition from stable to cellular and dendritic growth under different growth conditions. Growth of multiple grai...

中文翻译：

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蒙特卡洛方法模拟二元合金凝固过程中的树枝状组织

提出了一种用于模拟二元合金凝固过程中微观组织演变的蒙特卡洛（MC）方法。考虑到相变过程中自由能变化，固液界面能，界面能各向异性和晶界能等因素的影响，通过确保局部最小化自由能来对这些微结构的演化进行全面建模。现有MC模型的各个方面。此外，在该模型中还表示了施加方向的影响。该方法能够模拟method100 cubic方向上立方结构的优先生长，大量晶粒的生长以及它们之间的竞争，并且结合了晶界能。该模型可用于模拟自由和受限树突的生长，以及在不同生长条件下从稳定向细胞和树突生长的转变。多种谷物的增长