共格固态枝晶生长中表面能与弹性各向异性的竞争
Competition between Surface Energy and Elastic Anisotropies in the Growth of Coherent Solid State Dendrites
摘要：
提出了一种新的考虑弹性应变能影响的显微组织演化相场模型。通过将该模型映射到Echebarria等人（Phys Rev E，70：061604，2004）开发的最新模型上，研究了该模型的薄界面行为。利用这种薄界面分析，固态枝晶的生长与扩散界面模拟和相场和力学平衡方程求解在真实空间上的自适应网格。考察了表面能各向异性和弹性各向异性之间的形态竞争。二维模拟报告表明，固态树枝状结构经历了从表面为主的[10]生长方向的弹性驱动[11]生长方向的弹性各向异性，表面各向异性和过饱和度的变化的过渡。使用曲率和应变校正的平衡界面组成和线性稳定性理论计算的Mullins和Sekerka的各向同性沉淀物，占主导地位的生长形态进行预测。
英文摘要：
A new phase field model of microstructural evolution is presented that includes the effects of elastic strain energy. The model's thin interface behavior is investigated by mapping it onto a recent model developed by Echebarria et al (Phys Rev E, 70:061604,2004). Exploiting this thin interface analysis the growth of solid state dendrites are simulated with diffuse interfaces and the phase field and mechanical equilibrium equations are solved in real space on an adaptive mesh. A morphological competition between surface energy anisotropy and elastic anisotropy is examined. Two dimensional simulations are reported that show that solid state dendritic structures undergo a transition from a surface dominated [10] growth direction to an elastically driven [11] growth direction by changes in the elastic anisotropy, the surface anisotropy and the supersaturation. Using the curvature and strain corrections to the equilibrium interfacial composition and linear stability theory for isotropic precipitates as calculated by Mullins and Sekerka, the dominant growth morphology is predicted.
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