马氏体相变中的孤立子

在马氏体相变过程中引入孤立子模型，进一步揭示马氏体相变过程的物理本质。通过将马氏体和母相之间的相界面看作为一个拓扑型的孤立波，借助Ｐｅｙｒａｒｄ的一维一性原子链孤立子模型，从相界面运动的Ｈａｍｉｌｔｏｎｉａｎ量出发，导出马氏体相界面运动的孤立子方程，求解该方程的孤立解，获得马氏体相界面能量与界面运动速度之间的关系，以及界面宽度随相变速率的变化规律。结果显示，随着界面运动速率的提高，马氏体和母相之间

Soliton in Martensitic Transformation

This paper introduced the model of soliton to the martensitic transformation and went further into the physical property of martensitic transformation. The interface between martensite and parent was considered as a topological solitary wave based on the Hamiltonian of one dimensional atomic chain with a nonlinear periodical potential Peyrard model, and the solution of soliton equation about the interface motion during martenstic transformation was obtained. The results show that the interface energy increases and the interface width decreases between martensite and parent with the increase of velocity of the interface motion. This law is consistent with the experimental results of martensitic transformation, which shows that martensitic transformation may be investigated with solitary wave.