含三维内裂纹试件单轴拉伸裂纹扩展数值模拟研究
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摘要
以往研究针对三维内裂纹在单轴拉伸下的裂纹扩展与三维内裂纹尖端的应力强度因子变化较少,为定量化研究三维内裂纹单轴拉伸下的裂纹扩展与应力强度因子的变化,对不同预制内裂纹角度在拉伸荷载作用下的裂纹扩展规律进行了数值模拟研究,将裂纹扩展过程及最终破坏形态与已有研究进行了对比。计算结果表明:当预制裂纹角度为0°时,预制裂纹呈现自相似扩展,当预制裂纹为其他角度时,预制裂纹尖端出现翼裂纹扩展,预制裂纹角度为15°、30°、45°、60°时,翼裂纹与原预制裂纹分别呈18°、49°、64°与80°;随着预制裂纹与水平方向的角度增大,Ⅰ型应力强度因子逐渐减小,对于同一预制裂纹角度来说,预制裂纹短轴顶点上的Ⅰ型应力强度因子较其他方向要大;随着预制裂纹角度的增大,Ⅱ型应力强度因子整体上先增大后减小;对于同一种预制裂纹角度来说,预制裂纹的左端与右端(对应于距离为0,0. 5,1处)Ⅱ型应力强度因子达到最大,而预制裂纹短轴处顶点(对应于距离为0. 25和0. 75处)Ⅱ型应力强度因子达到最小为0;数值模拟结果与室内试验结果体现出较好的一致性。研究成果为正确认识轴拉情况下的三维裂纹扩展规律提供了一定的参考。
The crack propagation of three-dimensional internal crack under tensile load has been a difficult and hot problem in geotechnical engineering. In order to quantitatively explore the crack propagation and the change of stress intensity factor of standard cubic specimen with three-dimensional internal crack under uniaxial tensile load,the variation of the crack propagation law of different prefabricated internal crack angles under tensile load was simulated numerically,and the crack propagation process and the final failure morphology were compared with the existing research. The results showed that the precast cracks exhibit self-similar propagation when the precast crack angle is 0 degree and when the precast cracks are at other angles,the wing crack propagates at the tip of the precast crack. When the angle of the precast crack is 15 degrees,30 degrees,45 degrees,60 degrees,the wing crack and the original precast crack present an angle of 18 degrees,49 degrees,64 degrees and 80 degrees. With the increase of the angle between the precast crack and the horizontal direction,the relative stress intensity factor of mode I decreases gradually,and for the same prefabricated crack angle,the relative mode Ⅰ stress intensity factor on the short axis vertex of prefabricated crack is larger than that in other directions. For the mode Ⅱ stress intensity factor,the relative mode Ⅱ stress intensity factor increases first and then decreases with the increase of the prefabricated crack angle. For the same precast crack angle,the left and right end of the precast crack( corresponding to the distance of 0/0. 5/1) reaches the maximum for the mode II stress intensity factor,while the relative II type stress intensity factor of the vertex of the short axis of the precast crack( corresponding to the distance of 0/0. 5/1) reaches the minimum of 0 at 0. 25,0. 75,and the numerical simulation results are in agreement with the laboratory test results. The research results provide a certain reference for the correct understanding of the three-dimensional crack propagation law under the condition of axial tension.
The crack propagation of three-dimensional internal crack under tensile load has been a difficult and hot problem in geotechnical engineering. In order to quantitatively explore the crack propagation and the change of stress intensity factor of standard cubic specimen with three-dimensional internal crack under uniaxial tensile load,the variation of the crack propagation law of different prefabricated internal crack angles under tensile load was simulated numerically,and the crack propagation process and the final failure morphology were compared with the existing research. The results showed that the precast cracks exhibit self-similar propagation when the precast crack angle is 0 degree and when the precast cracks are at other angles,the wing crack propagates at the tip of the precast crack. When the angle of the precast crack is 15 degrees,30 degrees,45 degrees,60 degrees,the wing crack and the original precast crack present an angle of 18 degrees,49 degrees,64 degrees and 80 degrees. With the increase of the angle between the precast crack and the horizontal direction,the relative stress intensity factor of mode I decreases gradually,and for the same prefabricated crack angle,the relative mode Ⅰ stress intensity factor on the short axis vertex of prefabricated crack is larger than that in other directions. For the mode Ⅱ stress intensity factor,the relative mode Ⅱ stress intensity factor increases first and then decreases with the increase of the prefabricated crack angle. For the same precast crack angle,the left and right end of the precast crack( corresponding to the distance of 0/0. 5/1) reaches the maximum for the mode II stress intensity factor,while the relative II type stress intensity factor of the vertex of the short axis of the precast crack( corresponding to the distance of 0/0. 5/1) reaches the minimum of 0 at 0. 25,0. 75,and the numerical simulation results are in agreement with the laboratory test results. The research results provide a certain reference for the correct understanding of the three-dimensional crack propagation law under the condition of axial tension.
引文
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[13]孙欣,朱哲明,谢凌志,等.基于SENDB试样的砂岩复合脆性断裂行为研究[J].岩石力学与工程学报,2017,36(12):2884-2894.
[14]李术才,杨磊,李明田,等.三维内置裂隙倾角对类岩石材料拉伸力学性能和断裂特征的影响[J].岩石力学与工程学报,2009,28(2):281-289.
[15]张波,杨学英,李术才,等.含两组叠置X型裂隙类岩石材料单轴拉伸破坏特征[J].煤炭学报,2017,42(8):1987-1993.
[16]张敦福,张波,王卫东,等.单向轴压条件下内置椭圆三维裂纹扩展无网格方法的研究[J].应用力学学报,2016,33(3):483-489+550.
[2]宋义敏,杨小彬,金璐,等.冲击载荷作用下岩石Ⅰ型裂纹动态断裂试验研究[J].振动与冲击,2014,33(11):49-53+60.
[3]袁小平,刘红岩,王志乔.单轴压缩非贯通节理岩石尖端塑性区及弹塑性断裂模型研究[J].岩土力学,2012,33(6):1679-1688.
[4]谢和平,高峰,周宏伟,等.岩石断裂和破碎的分形研究[J].防灾减灾工程学报,2003,23(4):1-9.
[5]秦洪远,黄丹,刘一鸣,等.基于改进型近场动力学方法的多裂纹扩展分析[J].工程力学,2017,34(12):31-38.
[6]应鹏,朱哲明,周磊,等.中低速冲击下Ⅰ型裂纹的动态断裂韧度研究[J].煤炭学报,2017,42(S2):338-345.
[7]李铁汉,潘别桐.岩体力学[M].北京:地质出版社,1980.
[8]喻勇,徐跃良.采用平台巴西圆盘试样测试岩石抗拉强度的方法[J].岩石力学与工程学报,2006,25(7):1457-1462.
[9]于庆磊,唐春安,杨天鸿,等.平台中心角对岩石抗拉强度测定影响的数值分析[J].岩土力学,2008,29(12):3251-3255+3260.
[10]张绪涛,张强勇,袁圣渤,等.岩石轴向直接拉伸试验装置的研制及应用[J].岩石力学与工程学报,2014,33(12):2517-2523.
[11]鲁国富,邱振宇,高成军,等.基于双轴拉伸试验的飞艇蒙皮材料非线性分析[J].复合材料学报,2018,35(5):1166-1171.
[12]黎坤运,董世明,华文,等.基于X-FEM的扁平巴西圆盘复合型断裂数值模拟分析[J].四川建筑科学研究,2017,43(6):9-12.
[13]孙欣,朱哲明,谢凌志,等.基于SENDB试样的砂岩复合脆性断裂行为研究[J].岩石力学与工程学报,2017,36(12):2884-2894.
[14]李术才,杨磊,李明田,等.三维内置裂隙倾角对类岩石材料拉伸力学性能和断裂特征的影响[J].岩石力学与工程学报,2009,28(2):281-289.
[15]张波,杨学英,李术才,等.含两组叠置X型裂隙类岩石材料单轴拉伸破坏特征[J].煤炭学报,2017,42(8):1987-1993.
[16]张敦福,张波,王卫东,等.单向轴压条件下内置椭圆三维裂纹扩展无网格方法的研究[J].应用力学学报,2016,33(3):483-489+550.
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