Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (3): 219-222.

• Articles • 上一篇    下一篇

THEOREM OF THE UNIQUENESS OF DISPLACEMENT AND STRESS FIELDS OF LINE-LOADED INTEGRAL EQUATION METHOD

云天铨   

  1. Huazhong University of Science and Technology, Wuhan
  • 收稿日期:1984-04-12 出版日期:1985-03-18 发布日期:1985-03-18

THEOREM OF THE UNIQUENESS OF DISPLACEMENT AND STRESS FIELDS OF LINE-LOADED INTEGRAL EQUATION METHOD

Yun Tian-quan   

  1. Huazhong University of Science and Technology, Wuhan
  • Received:1984-04-12 Online:1985-03-18 Published:1985-03-18

摘要: According to Fredholm’s theorem, this paper proves that due to the virtual fundaemental loods which satisfy the boundary conditions and being distributed outside the elastic body occupied region the displacement and stress fields in the elastic body occupied region are unique. This theorem forms a theoretical basis of the applications of the line-loaded integral equation method.

关键词: reaction-diffusion equation, Li閚ard system, travelling wave solutions, connecting orbits

Abstract: According to Fredholm’s theorem, this paper proves that due to the virtual fundaemental loods which satisfy the boundary conditions and being distributed outside the elastic body occupied region the displacement and stress fields in the elastic body occupied region are unique. This theorem forms a theoretical basis of the applications of the line-loaded integral equation method.

Key words: reaction-diffusion equation, Liénard system, travelling wave solutions, connecting orbits

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