We first present a simulation method for the dynamics of dislocation arrays. In this numerical method, dislocation arrays are considered as continuous surfaces in 3D, and the level set representation is used for these dislocation array surfaces. The driving force of the dislocation array surfaces comes from both the long-range interaction and their local curvature effect. Simulations are performed for dislocation arrays bypassing different particles under applied stress. We also consider systems of parallel straight dislocation walls and develop continuum descriptions for the short-range interactions of dislocations by using asymptotic analysis. The short-range interaction terms ensure strong stability property of the continuum model that is possessed by the discrete dislocation dynamics model. The model is validated by comparisons with the discrete dislocation simulation results.

戴书洋教授2009年本科毕业于武汉大学, 2013年在香港科技大学获博士学位, 并于2013-2016在美国宾夕法尼亚大学材料科学与工程系从事博士后研究工作。自2016年9月起, 任职于武汉大学数学与统计学院, 研究兴趣为材料科学中的数学建模与数值模拟, 偏微分方程数值模拟。