• CN:11-2187/TH
  • ISSN:0577-6686

›› 1979, Vol. 15 ›› Issue (1): 37-51.

• 论文 • 上一篇    下一篇

高应变区裂纹张开位移分析

蔡其巩;罗力更;陈宪禧;郑本和;陆祁初;张宝昌   

  1. 北京钢铁研究院;哈尔滨焊接研究所
  • 发布日期:1979-01-01

Crack Opening Displacement Analysis in Areas of High Nominal Strain

Tsai Chikung;Lo Likeng;Chen Shanshi;Cheng Penho;Lu Chichu;Chang Paochan   

  1. Institute of Iron and Steel Research, Ministry of Metallurgy Harbin Research Institute to of Welding
  • Published:1979-01-01

摘要: 本文应用塑性变形理论方程和解的因次分析,和Hutchinson等对纯幂硬化材料给出的有限无结果的外推,得到了全塑性条件下,纯幂硬化材料中心裂纹拉伸板简单的裂纹张开位移表达式。通过COD的小范围屈服解答和纯幂硬化材料全塑性解答的内插,给出了弹塑性材料用标称应变计算COD的简单公式。应强调指出的是,应区分两类典型的屈服方式,即全面屈服和韧带屈服。对于这两类典型情况,存在显然不同的Φ≡S/(2πaε0)与ε/ε0的关系。对具有明显屈服平台的低碳锰钢,进行了缺口拉伸板的COD标定。当相对裂纹尺寸不够小时,则不满足真正的全面屈服条件。这时曲线上可以观察到四个阶段:(I)小范围屈服阶段,(ii)韧带屈服阶段。(iii)屈服平台扩展到其余部分的阶段,此时COD被冻结了,(iv)指数硬化的全面屈服阶段。一些宽板试验数据对Wells或Burdekin设计曲线向上或向下的偏离,现在可以解释为由于在具有不同y/(πa)值情况下,韧带屈服的影响。对于低碳锰钢,不同裂纹的几何形状因子Q2,可以通过测量全面屈服阶段Φ~ε/ε0曲线的斜率而得到。

Abstract: Using dimensional analysis of the equations and solutions of the deformation theory of plasticity and the extrapolation of F. E. results for pure power hardening materials given by Hutchiuson etal, simple crack opening displacement expression have been obtained for center cracked tension strip made of pure power hardening materials under fully plastic condition. By interpolating the small scale yielding solutions and the fully plastic solutions for pure power hardening materials, simple formulas for estimating COD in terms of nominal strain for elastic/plastic materials have been given. Emphasis has been given on distinquishing two typical yielding cases. I. E. the general yielding case and the ligament yielding case. Significantly different relationships between φ=δ/2παε0 and ε/ε0 exist for these two typical yielding cases: For general yielding case, φ=ε/ε0-[εel/ε0-4/π2·(σ/σ0)ln sec(σ0/σ·πεel/2ε0)] For ligament yielding case, φ=1/π(κ2/κ3) ·(y/a) ·ε/ε0+A Notched tension strip COD experiments on low carbon Mn-steel with broad yielding plateau show that when the relative crack size is not small enough to achieved pure general yielding condition, following four states of deformation in the φ~ε/ε0 curve are observed: I) the state of small scale yielding, ii) the stage of ligament yielding with slope satisfying basically the equation dφ/d(ε/ε0)=y/πa, iii) the state of the spreading of the initial yielding plateau in the remaining parts of the plate with COD frozen. Iv) the general yielding stage with power hardening. The scattering of the data of some wide plate experiments below and above the Wells or Burdekin’s design curve can now be explained as due to the effect of ligament yielding with different y/πa values. Finally, under general yielding condition of tension strips with different crack geometry, the relation between φ and ε/ε0 can be expressed as φ=Q2(ε/ε0-0.25) For low carbon Mn-steel, the shape factors Q2 for different crack geometry had been obtained by measuring the slope of the φ~ε/ε0curve in the stage of general yielding.