航空学报 > 1981, Vol. 2 Issue (1): 32-37

紧凑拉伸试样应力强度因子的统一公式

王克仁   

  1. 中国科学院力学研究所
  • 收稿日期:1980-05-01 修回日期:1900-01-01 出版日期:1981-03-25 发布日期:1981-03-25

A GENERAL FORMULA OF STRESS INTENSITY FACTORS FOR CT SPECIMENS

Wang Keren   

  1. Institute of Mechanics, Academa Sinica
  • Received:1980-05-01 Revised:1900-01-01 Online:1981-03-25 Published:1981-03-25

摘要: 本文通过简单的力学分析,导得了紧凑拉伸试样应力强度因子的统一的表达式(公式(5),(7),(8)),可以适用于相当宽的H/W和a/W的范围,与边界配置法结果相比,误差小于1%(大多数数据的误差小于O.5%)。 本文采用的基本函数Kb和Ks,均为Srawley[1、2]等用边界配置法得到的结果拟合而求得的。在拟合过程中发现文献[1、2]内有五个数据异乎寻常,证实了文献[3]中重新计算的结果。 利用本文的表达式还可以方便地计算试样的柔度,结果也是令人满意的。

Abstract: An analytical formula for the stress intensity factors of the compact tension specimens is derived from a simple mechanical analysis and can be applied to a very wide range of H/W and a/W. In comparison with the boundary collocation method, errors of its results are less than one percent (most of them-0.5 percent) The formula can be written as follows,where the fundamental functions Kb and Ks are obtained by fitting the data of Srawley and Gross. During fitting, it has been found that there are five K values incompatible with others among data given by Srawley and Gross. But they confirmed the recalculated results in the latter paper written by Fan Tinyou.The compliance of the specimens may easily be calculated from the formulas derived in this paper. The results are also found satisfactory.