Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation
Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation
复制标题
立方相到四方相变的成核势垒
DOI：
10.1002/cpa.21448
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发表时间：
2013
影响因子：
3
通讯作者：
F. Otto
中科院分区：
文献类型：
--
作者：
H. Knüpfer;R. V. Kohn;F. Otto
我们对奥氏体相变到马氏体相变很感兴趣。这种转变通常伴随着小马氏体夹杂物的生成和长大。我们考虑了一个相边界具有尖锐能量惩罚的几何线弹性模型。以立方-四方相变为例，我们证明了马氏体夹杂的最小能量与体积V的关系类似于max{V^2/3，V^9/11\}。此外，我们的论证说明了自适应对于实现能量的最小尺度的重要性。该分析基于弹性能量的傅立叶表示。
We are interested in the phase transformation from austenite to martensite. This transformation is typically accompanied by the generation and growth of small inclusions of martensite. We consider a model from geometrically linear elasticity with sharp energy penalization for phase boundaries. Focusing on a cubic‐to‐tetragonal phase transformation, we show that the minimal energy for an inclusion of martensite scales like \max{V^2/3,V^9/11\} in terms of the volume V. Moreover, our arguments illustrate the importance of self‐accommodation for achieving the minimal scaling of the energy. The analysis is based on Fourier representation of the elastic energy.© 2012 Wiley Periodicals, Inc.