压缩双裂纹和单裂纹圆孔板应力强度因子公式  

STRESS INTENSITY FACTOR FORMULAS FOR DCDC AND SCDC SPECIMENS

作　　者：倪敏 苟小平[1,2] 王启智 

机构地区：[1]水力学及山区河流开发保护国家重点实验室,成都610065 [2]四川大学土木工程及应用力学系,成都610065

出　　处：《力学学报》2013年第1期94-102,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(51179115);深部岩土力学与地下工程国家重点实验室开放基金(SKLGDUEK1020)资助项目)~~

摘　　要：从理论模型和数值分析上澄清了国外文献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.证明Plaisted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DCDC应力强度因子公式都存在推导和原理性的失误.指出Jenne等推导的公式形式过于复杂不便使用,而He等的公式适用范围偏小.通过拟合有限元法宽范围数值计算结果导出DCDC的应力强度因子的新公式,该公式形式简单,对无量纲裂纹长度和无量纲板宽度适用范围较大,最大误差是7%.此外,还对新提出的压缩单裂纹圆孔板(single cleavage drilled compression,SCDC)做了分析,首次得到的SCDC应力强度因子公式的最大误差是5%.给出的2个公式可分别用于脆性材料DCDC或SCDC试样的断裂韧度测试.In the paper, the confusions about the different stress intensity factor formulas in the foreign references for the double cleavage drilled compression （DCDC） specimens are clarified theoretically and numerically. It is proved that the formulas for DCDC obtained by Plaisted et al. using a modified solution for a pair of short cracks at the opposite edges of a circular hole in an infinite plate subjected to compression, and using an＇ Euler-Bernoulli beam solution for a long crack, respectively, are both inadequate, with errors existing either in the formulation or in the model-based principle. A new formula of stress intensity factor for DCDC is obtained by fitting the wide-ranging numerical results of finite element analysis; the maximum error of the new formula is less than 7%. The new formula is also simpler in form than that given by Jenne et al., and with larger applicable range as compared to the formulas of He et al. for both the dimensionless crack length and the dimensionless plate width. Furthermore, for the newly proposed single cleavage drilled compression （SCDC） specimens, a stress intensity factor formula for SCDC is also formulated, and the maximum error of the formula for SCDC is less than 5%. The two formulas derived in this paper can be used for testing mode-I fracture toughness of brittle materials using either the DCDC or the SCDC specimens.

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 公式推导 有限元分析 拟合 

分 类 号：O346.11[理学—固体力学] TU458.3[理学—力学]