计算与应用讨论班——A threshold dislocation dynamics method

报告人：秦晓雪（上海大学）

时间：2025年6月17日，10:30-12:30

地点：海纳苑2幢1220

摘要：We propose an efficient threshold dynamics method for dislocation dynamics in a slip plane. We show that this proposed threshold dislocation dynamics method is able to give two correct leading orders in dislocation velocity, including both the O(logε) local curvature force and the O(1) nonlocal force due to the long-range stress field generated by the dislocations, where & is the dislocation core size. This is different from the available threshold dynamics methods in the literature which only give the leading order local velocities associated with mean curvature or its anisotropic generalizations of the moving fronts. We also propose a numerical method based on spatial variable stretching to overcome the numerical limitations brought by physical settings in this threshold dislocation dynamics method. Specifically, this variable stretching method is able to correct the mobility and to rescale the velocity, which can be applied generally to any threshold dynamics method. We validate the proposed threshold dislocation dynamics method by numerical simulations of various motions and interaction of dislocations.

报告人简介：秦晓雪博士，现任上海大学数学系讲师、硕士生导师，上海市海外高层次人才。博士毕业于香港科技大学数学系，在香港科技大学数学系从事博士后研究。主要研究方向为晶体材料中缺陷的数学建模与高效数值算法，在计算数学与科学计算领域取得了一系列创新性成果，相关研究发表在 Multiscale Model. Simul. (SIAM MMS).，J. Sci. Comput. (JSC)，CICP等期刊。现主持国自然青年基金和上海市启明星培育项目。

联系人：王何宇（wangheyu@zju.edu.cn）