航空学报 > 1991, Vol. 12 Issue (2): 22-26

含裂纹板受集中力作用的精确解

黄维扬   

  1. 南京航空学院
  • 收稿日期:1990-06-16 修回日期:1990-08-15 出版日期:1991-02-25 发布日期:1991-02-25

THE EXACT SOLUTIONS FOR A CRACKED PLATE UNDER CONCENTRATED FORCES

Huang Weiyang   

  1. Nanjing Aeronautical Institute
  • Received:1990-06-16 Revised:1990-08-15 Online:1991-02-25 Published:1991-02-25

摘要: 对具有中心裂纹或半无限长裂纹的无限大板在集中力作用下得到了精确的复变应力函数。对具有半无限长裂纹的无限大板采用的分析方法是柯西积分。将具有中心裂纹的无限大板的问题化成希尔贝特问题进行求解。

关键词: 复变应力函数, 柯西积分, 希尔贝特问题

Abstract: The exact complex stress functions are obtained for a infinite plate with a centrical crack or semi-infinite crack under concentrated forces at a certain point. The analytical method is Cauchy integration for a infinite plate with semi-infinite crack. The problem for a infinite plate with centrical crack is reduced to the Hilbert problem.

Key words: complex stress function, Cauchy integration, Hilbert problem