航空学报 > 1991, Vol. 12 Issue (1): 87-94

求解正交各向异性含内部裂纹板应力强度因子的复变函数-分区广义变分解法

崔德渝, 张行   

  1. 北京航空航天大学
  • 收稿日期:1989-06-23 修回日期:1990-01-28 出版日期:1991-01-25 发布日期:1991-01-25

A COMPLEX VARIABLE-GENERALIZED VARIATIONAL METHOD ABOUT MULTI-REGIONS FOR INVESTIGATION OF STRESS INTENSITY FACTORS IN ANISOTROPIC CRACKED PLATES

Cui Deyu, Zhang Xing   

  1. Beijing University of Aeronautics and Astronautics
  • Received:1989-06-23 Revised:1990-01-28 Online:1991-01-25 Published:1991-01-25

摘要: <正> 计算应力强度因子是确定含有裂纹结构剩余强度与剩余寿命的最重要工作,而有限大体孔边裂纹应力强度因子的确定又是应力强度因子确定中最具实用价值的一部分工作。目前,在这方面所采用的方法有:边界配位法、有限元素法与边界元素法等。为了提高计算效率与消除模型的不确定性,本文提出复变-变分方法求解有限大板孔边裂纹应力强度因子。

关键词: 内部裂纹, 分区广义变分解法, 应力强度因子

Abstract: Description is given of a complex variable method (CVM)for investigation of the stress intensity factors (SIF) in anisotropic plates with inner cracks. In this work acracked plate is decomposed into two subregions with edge cracks. According to the theory of anisotropic elasticity the stress and displacement series which satisfy all basic equationsand stress-free boundary conditions on crack surfaces are established.By using a generalized variational principle about multi-regions to satisfy the remaining boundary and interface conditions, the stress and displacement fields as well as SIF can be determined. This method presents an effective approach to solve both of symmetric and non-symmetric problems on geometry and loading.Numerical studies have revealed that the convergent results: can be given by aorelatively simple program which reduces data manipulation and computer time.

Key words: cracks, generalised variational principle about multi-regions, stress intensity factor