航空学报 > 1992, Vol. 13 Issue (2): 20-25

板和型材均含有裂纹的加筋板应力强度因子计算

黄维扬   

  1. 南京航空学院104教研室 南京 210016
  • 收稿日期:1990-03-15 修回日期:1990-07-20 出版日期:1992-02-25 发布日期:1992-02-25

SOLUTION OF STRESS INTENSITY FACTORS AT CRACKS IN SHEETS AND STRINGERS OF STIFFENED PANELS

Huang Wei yang   

  1. Nanjing Aeronautical Institute, Nanjing, 210016
  • Received:1990-03-15 Revised:1990-07-20 Online:1992-02-25 Published:1992-02-25

摘要:

本文应用复变应力函数和分区广义变分原理,提出了确定型材和板有裂纹的加筋板应力强度因子的计算方法。采用复变应力函数使裂纹的边界条件精确地得到满足,应用分区广义变分原理使其它边界条件近似地得到满足。本文应用加筋条为角材,其中一根角材含有边缘裂纹,板含有中心裂纹的加筋板,在垂直裂纹平面的远处受均匀拉伸载荷为例,给出了应力强度因子的计算公式。对一特定的结构参数,给出了应力强度因子随裂纹长度变化曲线。

关键词: 复变应力函数, 分区广义变分原理, 应力强度因子, 加筋板

Abstract:

An analytical method is proposed to determine the stress intensity factor of" a stiffened panel with cracks in sheet and in stringer on the basis of complex stress functions and zonal generalized variational principles. The crack boundary conditions are satisfied exactly by complex stress functions and the other boundary conditions are satisfied approximatively by zonal generalized variational principles. As an example we consider a stiffened panel with a central crack in the sheet and an edge crack in the stringer. The load is uniform tensile stress applied normally to the crack plane. The expressions of stress intensity factors are giren.

Key words: Complex stress function, Zonal generalized variational principle, Stress intensi- ty factor, Stiffened panel