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arXiv 0811.2723cond-mat.mtrl-sci
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固体中扩散限制转变过程中的斑图形成

Pattern formation during diffusion limited transformations in solids

M. Fleck, C. Hueter, D. Pilipenko, R. Spatschek, E. A. Brener

摘要:

我们开发了一个描述的扩散限制生长的固-固转变,这是强烈的弹性效应的影响。密度差异和结构转变在界面处引起应力,这影响相平衡条件。我们制定类似于枝晶生长的界面动力学方程,并研究了在通道几何形状和自由空间中亚稳固体的稳定相的生长。我们进行尖锐的接口计算的基础上格林函数方法和相场模拟,辅以分析调查。对于纯的双折射变换,我们发现一个增长的手指在较高的驱动力与对称性破缺,而剪切变换的孪生结构的出现可能是有利的。我们预测的稳定状态的形状和传播速度,这可以是高于传统的枝晶生长。

英文摘要:

We develop a description of diffusion limited growth in solid-solid transformations, which are strongly influenced by elastic effects. Density differences and structural transformations provoke stresses at interfaces, which affect the phase equilibrium conditions. We formulate equations for the interface kinetics similar to dendritic growth and study the growth of a stable phase from a metastable solid in both a channel geometry and in free space. We perform sharp interface calculations based on Green's function methods and phase field simulations, supplemented by analytical investigations. For pure dilatational transformations we find a single growing finger with symmetry breaking at higher driving forces, whereas for shear transformations the emergence of twin structures can be favorable. We predict the steady state shapes and propagation velocities, which can be higher than in conventional dendritic growth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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