Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (7): 669-678.

• 论文 • 上一篇    下一篇

THE SOLUTION OF A CRACK EMANATING FROM AN ARBITRARY HOLE BY BOUNDARY COLLOCATION METHOD

王元汉   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan
  • 收稿日期:1988-11-10 出版日期:1990-07-18 发布日期:1990-07-18

THE SOLUTION OF A CRACK EMANATING FROM AN ARBITRARY HOLE BY BOUNDARY COLLOCATION METHOD

Wang Yuan-han   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan
  • Received:1988-11-10 Online:1990-07-18 Published:1990-07-18

摘要: In this paper a group of stress functions has been proposed for the calculation of a crack emanating from a hole with different shape (including circular, elliptical, rectangular, or rhombic hole) by boundary collocation method.The calculation results show that they coincide very well with the existing solutions by other methods for a circular or elliptical hole with a crack in an infinite plate.At the smae time, a series of results for different holes in a finite plate has also been obtained in this paper.The proposed functions and calculation procedure can be used for a plate of a crack emanating from an arbitrary hole.

Abstract: In this paper a group of stress functions has been proposed for the calculation of a crack emanating from a hole with different shape (including circular, elliptical, rectangular, or rhombic hole) by boundary collocation method.The calculation results show that they coincide very well with the existing solutions by other methods for a circular or elliptical hole with a crack in an infinite plate.At the smae time, a series of results for different holes in a finite plate has also been obtained in this paper.The proposed functions and calculation procedure can be used for a plate of a crack emanating from an arbitrary hole.

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