Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (8): 979-988.

• 论文 • 上一篇    下一篇

INTERACTION OF A SCREW DISLOCATION IN THE INTERPHASE LAYER WITH THE INCLUSION AND MATRIX

蒋持平1, 刘又文2, 徐耀玲1   

  1. 1. Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;
    2. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
  • 收稿日期:2001-12-30 修回日期:2003-04-25 出版日期:2003-08-18 发布日期:2003-08-18
  • 基金资助:
    the National Natural Science Foundation of China(10272009);the Science Foundation of Aviation of China(99G51022)

INTERACTION OF A SCREW DISLOCATION IN THE INTERPHASE LAYER WITH THE INCLUSION AND MATRIX

JIANG Chi-ping1, LIU You-wen2, XU Yao-ling1   

  1. 1. Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;
    2. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
  • Received:2001-12-30 Revised:2003-04-25 Online:2003-08-18 Published:2003-08-18
  • Supported by:
    the National Natural Science Foundation of China(10272009);the Science Foundation of Aviation of China(99G51022)

摘要: The interaction of a screw dislocation in the interphase layer with the circular inhomogeneity and matrix was dealt with. An efficient method for multiply connected regions was developed by combining the sectionally subholomorphic function theory, Schwatz symmetric principle and Cauchy integral technique. The Hilbert problem of the complex potentials for three material regions was reduced to a functional equation in the complex potential of the interphase layer, resulting in an explicit series solution. By using the present solution the interaction energy and force acting dislocation were evaluated and discussed.

Abstract: The interaction of a screw dislocation in the interphase layer with the circular inhomogeneity and matrix was dealt with. An efficient method for multiply connected regions was developed by combining the sectionally subholomorphic function theory, Schwatz symmetric principle and Cauchy integral technique. The Hilbert problem of the complex potentials for three material regions was reduced to a functional equation in the complex potential of the interphase layer, resulting in an explicit series solution. By using the present solution the interaction energy and force acting dislocation were evaluated and discussed.

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