• CN:11-2187/TH
  • ISSN:0577-6686

›› 2010, Vol. 46 ›› Issue (4): 65-73.

• 论文 • 上一篇    下一篇

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含扩展裂纹板计及厚度效应的载荷—位移曲线解析闭合解

吴建国;王奇志;张行   

  1. 北京航空航天大学航空科学与工程学院
  • 发布日期:2010-02-20

Analytical Closed Form Solution of Load-displacement Curve for Cracked Plates Considering Thickness Effect of Resistance Curve

WU Jianguo;WANG Qizhi;ZHANG Xing   

  1. School of Aeronautical Science and Engineering, Beihang University
  • Published:2010-02-20

摘要: 准确预测长寿命结构在其服役期内的剩余强度,是当前结构设计工程师面临的一个重大课题。而裂纹扩展过程中,精确的载荷—位移曲线将为这一问题的突破提供一种非常高效的方法。为此,在考虑厚度效应的断裂韧度与阻力曲线理论基础上,对含穿透裂纹板在裂纹扩展过程中的载—荷位移曲线进行理论与试验研究。用卡氏定理导出含驻止裂纹试件承受载荷作用时,外部载荷与试件中点挠度的关系表达式。引入计及厚度效应的断裂韧度与阻力曲线理论,导出裂纹扩展时试件中点处载—荷位移曲线的解析闭合解。进行准静载单调加载下的裂纹扩展试验。所得数据与由载荷—位移曲线解析闭合解得到的计算结果基本吻合,充分验证该解析闭合解的有效性。

关键词: 厚度效应, 解析闭合解, 裂纹扩展, 载荷—位移曲线

Abstract: At present, accurate prediction of residual strength of long lifetime structure during its service period is an important and difficult problem facing the structural design engineer. A precise load-displacement curve in the process of crack growth will provide a highly effective solution to this problem. For that, based on the fracture toughness and resistance curve theories with thickness effect considered, an investigation of load-displacement curve for a plate with growing crack is made from both theoretical and experimental aspects. An expression is given by the Castigliano’s theorem to show the relation between the external loads and the deflection on the midpoint of specimen with a stationary crack. The fracture toughness and resistance curve theories with thickness effect considered are introduced to educe the analytic closed form solution to load-displacement curve at the midpoint of specimen during crack growth. A few experiments of crack growth are also performed under monotonously quasi-static loading. The experimental data are basically consistent with the results from the analytical closed form solution, which confirms the validity of this analytical closed form solution sufficiently.

Key words: Analytical closed form solution, Crack growth, Load-displacement curve, Thickness effect

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