应用科学学报 ›› 1990, Vol. 8 ›› Issue (3): 218-222.

• 论文 • 上一篇    下一篇

无限大扇形裂纹的Ⅱ型和Ⅲ型奇性应力场

徐林林, 欧阳鬯   

  1. 复旦大学
  • 收稿日期:1987-12-22 出版日期:1990-09-30 发布日期:1990-09-30

AN INFINITE TRIANGULAR CRACK UNDER MODE Ⅱ AND MODE Ⅲ LOADINGS

XU LINLIN, OUYANG CHANG   

  1. Fudan University
  • Received:1987-12-22 Online:1990-09-30 Published:1990-09-30

摘要: 继续文献[1]的研究,讨论无限大扇形裂纹问题,作出了Ⅱ型和Ⅲ型奇性应力场.结果指出,与Ⅰ型奇性应力场的奇性性质一样,在裂纹的直边边界处应力场仍然具有1/2阶奇异性,而在角点处应力场的奇异性随角点夹角的大小不同有显著差异.当角点外凸时应力场的奇异性减弱,当角点内凹时应力场的奇异性增强.

Abstract: This paper is the continuation of the study of an infinite triangular crack In an infinite elastic solid, in which the singular stresses for mode Ⅱ and mode HI crack problems are obtained. It is shown that they have the same singularities as mode I crack problems:they have the r-1/2 singularities along the straight border of the crack, and at the corner of the crack, the singularities become weak when the corner of the crack is convex and strong when concave.