Research on relation between crack extension resistance curve and sample thickness
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摘要: 在有关裂纹扩展理论阻力曲线研究的基础上,给出了阻力曲线与试样厚度关系的数学表达式.利用少量试验结果,根据最小二乘方法即可确定表达式中的参量.通过这一表达式,可以计算任意厚度下的阻力曲线方程,从而获得该厚度对应的阻力曲线.这一数学表达式得到了试验结果的验证,并可补充现有手册中试验数据之不足.Abstract: A mathematical formula for the relation between resistance curve of crack extension and sample thickness was obtained in fracture mechanics, based on the theoretical resistance curve of crack extension which was provided in the previous work. Some parameters in the formula were determined by the least square method. The resistance curve equation of specimen with arbitrary sample thickness can be calculated by this method. The mathematical expression is verified by test results and additional data may be provided by this expression for complementing the current handbook.
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Key words:
- crack propagation /
- resistance curves /
- curve fitting
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[1] Broek D. Artificial slow crack growth under constant stress-The R curve concept in plane stress[J] Engineering Fracture Mechanics, 1973(5):45~53 [2] Yan Cheng, Mai Yiuwing. Numerical investigation on stable crack growth in plane stress[J] International Journal of Fracture, 1998, 91:117~130 [3] Fett T, Munz D, Geraghty R D, et al. Influence of specimen geometry and relative crack size on the R-curve[J] Engineering Fracture Mechanics, 2000, 66:375~386 [4] 杨继运, 张 行. 材料断裂韧度与试样厚度关系研究[J] 机械强度,2003,25(1):76~80 Yang Jiyun, Zhang Xing. Research on the relation between fracture toughness and sample thickness[J] Journal of Mechanical Strength, 2003,25(1):76~80 (in Chinese) [5] Zhao J, Zhang X. On the process zone of a quasi-static growing tensile crack with power-law elastic-plastic damage[J] International Journal of Fracture, 2001, 108:383~395 [6] 杨继运, 张 行. 裂纹扩展阻力曲线与剩余强度关系的理论研究[J] 机械强度,2003,25(3):334~339 Yang Jiyun, Zhang Xing. Mathematical research on the relation between resistance curve of crack growth and residual strength[J] Journal of Mechanical Strength, 2003,25(3):334~339(in Chinese) [7] 吴学仁.飞机结构金属材料力学性能手册[M] 第二卷. 北京:航空工业出版社,1996 Wu Xueren. Handbook of mechanical properties of aircraft structural metals[M] Vol. 2. Beijing:Aviation Industry Press, 1996(in Chinese)
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