标题： 立方到四方相变的角部形核势垒 显示英文标题

标题： Nucleation barriers at corners for cubic-to-tetragonal phase transformation

摘要： 我们感兴趣的是在立方到四方相变中，体积为$V$的马氏体夹杂物在奥氏体中的能量成本。与 [Knüpfer, Kohn, Otto: Comm. Pure Appl. Math. 66 (2013), no. 6, 867--904] 的工作不同，我们考虑具有角的区域，并得到了更优的能量最小值的标度律（$E_{min} \sim \min(V^{2/3},V^{7/9})$）。我们的预测与物理实验结果良好一致，其中马氏体的形核通常在试样的角落附近被观察到。 显示英文摘要

摘要： We are interested in the energetic cost of a martensitic inclusion of volume $V$ in austenite for the cubic-to-tetragonal phase transformation. In contrast with the work of [Kn\"upfer, Kohn, Otto: Comm. Pure Appl. Math. 66 (2013), no. 6, 867--904], we consider domain with a corner and obtain a better scaling law for the minimal energy ($E_{min} \sim \min(V^{2/3},V^{7/9})$). Our predictions are in a good agreement with physical experiments where nucleation of martensite is usually observed near the corners of the specimen.