Calculation Formula for Stress Intensity Factors of CT Specimens based on Three Dimensional Finite Element Solutions
摘 要
对标准紧凑拉伸(CT)试样的二维和三维应力强度因子有限元解进行了对比分析,基于三维有限元虚拟裂纹闭合法拟合了一种新的标准CT试样的应力强度因子计算公式,并采用ANSYS软件内嵌位移外推法进行了验证。结果表明:基于二维分析所得的应力强度因子计算公式计算结果与实际三维CT试样的具有较大的差异;在加载孔等效分布力一定的条件下,CT试样裂纹前沿大部分区域的应力强度因子与中心点的相近,且与厚度无关;拟合得到的三维CT试样裂纹前沿中心点的应力强度因子计算公式具有很高的精度,其计算结果与ANSYS软件内嵌位移外推法的相对误差在0.5%以内。
Abstract
Two-dimensional and three-dimensional finite element calculations of stress intensity factors for standard compact tension(CT) specimens were compared and analyzed. And a new calculation formula of stress intensity factors for standard CT specimens was established based on the three-dimensional finite element virtual crack closure method and verified using displacement extrapolation method of ANSYS. The results show that great differences existed between the stress intensity factors from calculation formula based on the two-dimensional analysis and those of actual three-dimensional CT specimens. Under the certain equivalent distributed force on the load-hole, the stress intensity factors at the most crack front regions were similar to those at the center of the CT specimen and were independent of the thickness. The fitting calculation formula of stress intensity factors at the crack front center of three-dimensional CT specimens was of high precision. And the relative errors between the fitting calculation values and the results of the displacement extrapolation method of ANSYS were less than 0.5%.
中图分类号 O346.1 DOI 10.11973/jxgccl201512008
所属栏目 物理模拟与数值模拟
基金项目
收稿日期 2014/8/4
修改稿日期 2015/8/6
网络出版日期
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备注贾旭(1989-),男,湖北襄阳人,博士研究生。
引用该论文: JIA Xu,HU Xu-teng,SONG Ying-dong. Calculation Formula for Stress Intensity Factors of CT Specimens based on Three Dimensional Finite Element Solutions[J]. Materials for mechancial engineering, 2015, 39(12): 30~34
贾 旭,胡绪腾,宋迎东. 基于三维有限元解的紧凑拉伸试样应力强度因子计算公式[J]. 机械工程材料, 2015, 39(12): 30~34
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参考文献
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【4】SRAWLEY J E. Wide range stress intensity factor expressions for ASTM method E399 standard fracture toughness specimens[J]. International Journal of Fracture, 1976,12(3): 475-476.
【5】李旭东,穆志韬,贾明明. 加载频率对航空铝合金腐蚀疲劳裂纹扩展速率的影响[J].机械工程材料,2014,38(7):50-52.
【6】余圣甫, 王铁琦, 杨其良, 等. ZG20MnSi钢断裂韧度和疲劳裂纹扩展速率试验研究[J].机械工程材料,2005,29(6):17-19.
【7】GARCIA-MANRIQUE J, CAMAS D, LOPEZ-CRESPO P, et al. Stress intensity factor analysis of through thickness effects[J]. International Journal of Fatigue, 2013, 46: 58-66.
【8】BAZANT Z P, ESTENSSORO L F. Surface singularity and crack propagation[J]. International Journal of Solids and Structures, 1979, 15(5): 405-426.
【9】TOWERS O L, SMITH A P. Stress intensity factors for curved crack fronts in compact tension specimens[J]. International Journal of Fracture, 1984, 25(2): 43-48
【10】NEWMAN J C, YAMADA Y, JAMES M A. Stress-intensity-factor equations for compact specimen subjected to concentrated forces[J]. Engineering Fracture Mechanics, 2010, 77(6): 1025-1029.
【11】SLAVIK D C, MCCLAIN R D, LEWIS K. Stress intensity predictions with ANSYS for use in aircraft engine component life prediction[J]. Fatigue and Fracture Mechanics, 2000, 31: 371-390.
【12】解德,钱勤,李长安. 断裂力学中的数值计算方法及工程应用[M]. 北京: 科学出版社, 2009.
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