压缩双裂纹圆孔板和压缩单裂纹圆孔板的应力强度因子公式.docVIP

 压缩双裂纹圆孔板和压缩单裂纹圆孔板的 应力强度因子公式# 倪敏1，苟小平1，王启智1,2** 5 10 15 20 25 30 35 40 （1. 四川大学土木工程及应用力学系，成都 610065； 2. 水力学及山区河流开发保护国家重点实验室，成都 610065） 摘要：为了澄清国际文献中关于压缩双裂纹圆孔板（double cleavage drilled compression— DCDC）的应力强度因子不同的公式引起的混淆，详细检查了这些公式的推导并用有限元分 析验证了它们的精度。在一篇必威体育精装版的文献中，Plaisted T. A.等用修正压缩无限大板中圆孔双 边裂纹的解和欧拉-伯努利梁理论得到的应力强度因子公式都存在推导错误和原理性的失 误；稍早 Jenne T. A.等用半解析半数值的方法推导的公式形式复杂，其最大误差在 6%以内； 而 He M. Y.等的公式简单但适用范围偏小，最大误差也在 6%以内。鉴于这些公式存在推导 错误或者适用范围有局限，我们通过拟合宽范围有限元法数值计算结果导出了 DCDC 的应 力强度因子的新公式，新公式的无量纲裂纹长度和无量纲板宽度适用范围更广，公式形式简 单而最大误差是 7%。用类似的方法，对新提出的压缩单裂纹圆孔板（single cleavage drilled compression—SCDC），首次得到的 SCDC 应力强度因子公式公式的最大误差是 5%。本文 给出的这两个公式可分别用于基于 DCDC 或 SCDC 试样的 I 型断裂韧度测试。 关键词：压缩双裂纹圆孔板；压缩单裂纹圆孔板；应力强度因子公式；公式推导；有限元分 析；拟合 中图分类号：O346.1 Stress intensity factor formulas for DCDC and SCDC specimens NI Min1, GOU Xiaoping1, WANG Qizhi1,2 (1. Department of Civil Engineering and Applied Mechanics, Sichuan University，Chengdu 610065; 2. State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu 610065) Abstract: In order to clarify and rectified confusions caused by different stress intensity factor formulas in references for the double cleavage drilled compression (DCDC) specimens, the formulation for these formulas is checked and the accuracy of these formulas are testified by finite element analysis. It should be pointed out that the most recent formulas obtained by Plaisted T. A et al using modified solution for a pair of short cracks at the opposite edges of a circular hole in an infinite plate subjected to compression and Euler-Bernoulli beam solution for a long crack respectively both have errors in the derivations, and these errors are corrected in the present paper; the maximum error of the formula suggested by Jenne T. A. et al using a semi-analytical and semi-numerical method is proved to be less than 6%, the formula is complicated in form, Considering the formulation errors and applicability restriction of the existing formulas, a new formula of stress intensity factor