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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (10): 1128-1133.

• 论文 • 上一篇    下一篇

BOUNDARY INTEGRAL EQUATIONS OF UNIQUE SOLUTIONS IN ELASTICITY

周慎杰1, 曹志远2, 孙树勋3   

  1. 1. Department of Chemical Engineering, Shandong University of Technology, Jinan 250061, P.R.China;
    2. Department of Engineering Mechanics, Tongji University, Shanghai 200092, P.R.China;
    3. Institute of Engineering Mechanics, Shandong University of Technology, Jinan 250061, P.R.China
  • 收稿日期:1998-10-26 修回日期:1998-11-15 出版日期:1999-10-18 发布日期:1999-10-18
  • 通讯作者: Tang Renji
  • 基金资助:
    the Shandong Natural Science Foundation of China

BOUNDARY INTEGRAL EQUATIONS OF UNIQUE SOLUTIONS IN ELASTICITY

Zhou Shenjie1, Cao Zhiyuan2, Sun Shuxun3   

  1. 1. Department of Chemical Engineering, Shandong University of Technology, Jinan 250061, P.R.China;
    2. Department of Engineering Mechanics, Tongji University, Shanghai 200092, P.R.China;
    3. Institute of Engineering Mechanics, Shandong University of Technology, Jinan 250061, P.R.China
  • Received:1998-10-26 Revised:1998-11-15 Online:1999-10-18 Published:1999-10-18
  • Supported by:
    the Shandong Natural Science Foundation of China

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摘要： The properties of the fundamental solution are derived in linear elastostatics. These properties are used to show that the conventional displacement and traction boundary integral equations yield non-unique displacement solutions in a traction boundary value problem. The condition for the existence of unique displacement solutions is proposed for the traction boundary value problem. The degrees of freedom of the displacement solution are removed by the condition to obtain the boundary integral equations of unique solutions for the traction boundary value problems. Numerical example is presented to demonstrate the accuracy and efficiency of the present equations.

关键词: boundary integral equation, boundary element method, elasticity

Abstract: The properties of the fundamental solution are derived in linear elastostatics. These properties are used to show that the conventional displacement and traction boundary integral equations yield non-unique displacement solutions in a traction boundary value problem. The condition for the existence of unique displacement solutions is proposed for the traction boundary value problem. The degrees of freedom of the displacement solution are removed by the condition to obtain the boundary integral equations of unique solutions for the traction boundary value problems. Numerical example is presented to demonstrate the accuracy and efficiency of the present equations.

Key words: boundary integral equation, boundary element method, elasticity

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