上海大学学报(自然科学版) ›› 2024, Vol. 30 ›› Issue (5): 890-903.doi: 10.12066/j.issn.1007-2861.2604

• • 上一篇    下一篇

位错与非均匀夹杂相互作用能的解析和数值计算

丁高文1,2 , 李志远1,2 , 李 阳1,2,3   

  1. 1. 上海大学 力学与工程科学学院, 上海 200444; 2. 上海大学 上海市应用数学和力学研究所, 上海 200072; 3. 上海飞行器力学与控制研究院, 上海 200092
  • 出版日期:2024-10-30 发布日期:2024-11-07
  • 通讯作者: 李 阳 (1991—), 男, 副教授, 博士, 研究方向为核材料力学等. E-mail:yangli0401@shu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目 (12302279); 上海高校 Ⅳ类高峰学科建设资助项目

Analytical and numerical investigation of the interaction energy between the dislocations and inhomogeneous inclusions

DING Gaowen1,2 , LI Zhiyuan1,2 , LI Yang1,2,3   

  1. 1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 3. Shanghai Institute of Aircraft Mechanics and Control, Shanghai 200092, China
  • Online:2024-10-30 Published:2024-11-07

摘要: 利用 Eshelby 等效夹杂法 (equivalent inclusion method, EIM) 处理非均匀夹杂. 考虑了固有本征应变的影响, 显式地推导出了不同种类位错与非均匀夹杂的相互作用能. 以空洞为例, 将所得结果与分子动力学 (molecular dynamics, MD) 模拟计算值进行了比较, 验证了模型的有效性. 充分讨论了模型的应用范围, 并系统比较了夹杂本征应变与弹性常数对位错-夹杂体系反应能的影响.

关键词: 本征应变, 位错, 非均匀夹杂, Eshelby 等效夹杂法

Abstract: Eshelby’s equivalent inclusion method (EIM) were used to address the inhomogeneous inclusion problem while considering the effects of the intrinsic eigenstrain. The interaction energy between screw/edge dislocations and inhomogeneous inclusions were explicitly derived. To validate the model, the results of dislocation-void interactions were compared with the results of molecular dynamics (MD) simulations. The model’s capacity were fully evaluated and the effects of inclusion parameters were discussed, including the intrinsic eigenstrain and elastic constant.

Key words: eigenstrain, dislocation, inhomogeneous inclusion, Eshelby’s equivalent inclusion method (EIM)

中图分类号: