Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (4): 427-433.

• 论文 • 上一篇    下一篇

THE EFFECT OF AN ELASTIC TRIANGULAR INCLUSION ON A CRACK

焦贵德1, 王银邦2   

  1. 1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. College of Engineering, Ocean University of China, Qingdao, Shangdong 266071, P. R. China
  • 收稿日期:2001-11-27 修回日期:2003-01-10 出版日期:2003-04-18 发布日期:2003-04-18

THE EFFECT OF AN ELASTIC TRIANGULAR INCLUSION ON A CRACK

JIAO Gui-de1, WANG Yin-bang 2   

  1. 1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
    2. College of Engineering, Ocean University of China, Qingdao, Shangdong 266071, P. R. China
  • Received:2001-11-27 Revised:2003-01-10 Online:2003-04-18 Published:2003-04-18

摘要: The interaction between an elastic triangular inclusion and a crack is investigated. The problem is formulated using the boundary integral equations for traction boundary value problems derived by Chau and Wang as basic equations. By using the continuity condition of traction and displacement on interface as supplement equations, a set of equations for solving the interaction problem between an inclusion and a crack are obtained, which are solved by using a new boundary element method. The results in terms of stress intensity factors (SIFs) are calculated for a variety of crack-inclusion arrangements and the elastic constants of the matrix and the inclusion. The results are valuable for studying new composite materials.

Abstract: The interaction between an elastic triangular inclusion and a crack is investigated. The problem is formulated using the boundary integral equations for traction boundary value problems derived by Chau and Wang as basic equations. By using the continuity condition of traction and displacement on interface as supplement equations, a set of equations for solving the interaction problem between an inclusion and a crack are obtained, which are solved by using a new boundary element method. The results in terms of stress intensity factors (SIFs) are calculated for a variety of crack-inclusion arrangements and the elastic constants of the matrix and the inclusion. The results are valuable for studying new composite materials.

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