航空学报 > 1989, Vol. 10 Issue (7): 324-330

含有层间裂纹的双金属层板复变变分解法及其在胶接件中之应用

孟庆春, 张行   

  1. 北京航空航天大学
  • 收稿日期:1988-06-16 修回日期:1900-01-01 出版日期:1989-07-25 发布日期:1989-07-25

COMPLEX VARIABLE-VARIATIONAL METHOD OF SOLUTION FOR BI-METAL LAMINATES WITH INTERFACE CRACK AND ITS APPLICATION IN GLUED JOINTS

Meng Qingchun, Zhang Xing   

  1. Bei jing University of Aeronautics and .Astronauiics
  • Received:1988-06-16 Revised:1900-01-01 Online:1989-07-25 Published:1989-07-25

摘要:

本文根据穆斯海里什维利公式、裂纹表面边界条件与界面连续条件得到了含有层间裂纹的双金属层板应力与位移场的本征展开式。本文进一步利用分区广义变分原理代替边界条件,确定应力强度因子。由于所有方程预先满足,在变分方程中,只有线积分。对胶接件界面裂纹的计算表明,本方法收敛迅速节省机时。

关键词: 层间裂纹, 双金属层板, 复变变分解法, 胶接件

Abstract:

In this paper, the eigen function expansions of displacements and stress of bi-metal laminates with interface cracks are obtained. Furthermore) the stress intensity factors are determined by the variational method. There are only line integrals in the variational equations due to the previous satisfaction of all basic equations. The computations show-that this method of solution has the advantages of rapid convergency and time-saving. The results obtained by this method for homogeneous material agree with the known ones very well.

Key words: interface laminate crack, bi-metal laminate, glued joint