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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (5): 463-478.

• 论文 • 上一篇    下一篇

A CRACK EMANATING FROM THE TIP OF BONDED DISSIMILAR MATERIALS

钱俊1, 长谷部宣男2   

  1. 1. Naming University of Science and Technology, Naming 210000, P. R. China;
    2. Nagoya Institute of Technology, Japan
  • 收稿日期:1996-06-20 修回日期:1997-05-26 出版日期:1998-05-18 发布日期:1998-05-18

A CRACK EMANATING FROM THE TIP OF BONDED DISSIMILAR MATERIALS

Qian Jun1, Norio Hasebe2   

  1. 1. Naming University of Science and Technology, Naming 210000, P. R. China;
    2. Nagoya Institute of Technology, Japan
  • Received:1996-06-20 Revised:1997-05-26 Online:1998-05-18 Published:1998-05-18

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摘要： A crack is assumed to emanate from the tip of bonded dissiumilar materils wiht the crack on the bisector of one of the bonded wedges. The problem is firstly dividedinto symmetric and anti-symmetric modes accrding to the characteristics of the local geometry. By eigenexpansion method. the eigenequaitons for two modes arederived, respectively, and the corresponding eigenvalues are obtained wiht differentratios of dissimilar moaterial constants and angles of the wedges. The singularity of the crack is then analyzed by the eigenvalues that are less than one. The fields of displacement and stress in the vicinity of the tip of the crack are finally derived in anexplicit form.

关键词: Dissimilar material, singularity, fields of displacement and stress

Abstract: A crack is assumed to emanate from the tip of bonded dissiumilar materils wiht the crack on the bisector of one of the bonded wedges. The problem is firstly dividedinto symmetric and anti-symmetric modes accrding to the characteristics of the local geometry. By eigenexpansion method. the eigenequaitons for two modes arederived, respectively, and the corresponding eigenvalues are obtained wiht differentratios of dissimilar moaterial constants and angles of the wedges. The singularity of the crack is then analyzed by the eigenvalues that are less than one. The fields of displacement and stress in the vicinity of the tip of the crack are finally derived in anexplicit form.

Key words: Dissimilar material, singularity, fields of displacement and stress

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