数字图像相关法测定岩石Ⅰ-Ⅱ复合型裂纹应力强度因子
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摘要
提出了一种通过数字图像相关方法测定岩石Ⅰ-Ⅱ复合型裂纹尖端位置和应力强度因子的试验方法。试验通过数字图像相关方法测定裂纹尖端区域位移场数据,将位移场数据带入极坐标系下位移场方程,计算裂纹尖端位置和应力强度因子。试验结果表明:采用该方法可以准确的测定岩石Ⅰ-Ⅱ复合型裂纹应力强度因子、裂纹尖端位置及裂纹扩展长度,解决了以往研究方法因不能准确测定裂纹尖端位置和扩展方向,而无法准确测定岩石应力强度因子的难题。
A method for determining the mixed-mode Ⅰ-Ⅱ stress intensity factors and crack tip position of rock specimens by the digital image correlation method is proposed.The notched semicircular disk rock specimen under three-point bending is used in the rock fracture tests,the displacement field around the crack tip is measured by the digital image correlation method,and nonlinear displacement field equations with unknown parameters are solved by the nonlinear method.The characters of rock specimen fracture and crack propagation are studied based on the analysis of stress intensity factors and crack extension length.The experimental results show that the mixed-mode Ⅰ-Ⅱ stress intensity factors and crack tip position of rock can be evaluated accurately from the displacement components by the proposed method.
A method for determining the mixed-mode Ⅰ-Ⅱ stress intensity factors and crack tip position of rock specimens by the digital image correlation method is proposed.The notched semicircular disk rock specimen under three-point bending is used in the rock fracture tests,the displacement field around the crack tip is measured by the digital image correlation method,and nonlinear displacement field equations with unknown parameters are solved by the nonlinear method.The characters of rock specimen fracture and crack propagation are studied based on the analysis of stress intensity factors and crack extension length.The experimental results show that the mixed-mode Ⅰ-Ⅱ stress intensity factors and crack tip position of rock can be evaluated accurately from the displacement components by the proposed method.
引文
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[19]LIM I L,JOHNSTON I W,CHOI S K,et al.Fracture testing of a soft rock with semicircular specimens under three point bending-Part1[J].Int J Rock Mech Min,1994,31(3):185–197.
[20]KHAN K,L-SHAYEAN A A.Effect of specimen geometry and testing method on mixed mode I±II fracture toughness of a limestone rock from saudi arabia[J].Rock Mech Rock Engng,2000,33(3):179–206.
[2]何思明,吴永,李新坡.地震诱发岩体崩塌的力学机制[J].岩石力学与工程学报,2010,29(增刊1):3359–3363.(HE Si-ming,WU Yong,LI Xin-po.Collapse mechanism of danger rock triggered by earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(S1):3359–3363.(in Chinese))
[3]贾学明,王启智.断裂韧度试样CCNBD宽范围应力强度因子标定[J].岩土力学,2003,24(6):907–912.(JIA Xue-ming,WANG Qi-zhi.Wide range cali6-8bration of the stress intensity factor for the fracture toughness specimen CCNBD[J].Rock and Soil Mechanics,2003,24(6):907–912.(in Chinese))
[4]姚飞.水力裂缝延伸过程中的岩石断裂韧性[J].岩石力学与工程学报,2004,23(14):2346–2350.(YAO Fei.Fracture toughness in hydraulic fracture propagation[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(14):2346–2350.(in Chinese))
[5]陈卫忠,陈培帅,王辉.裂纹扩展过程的动态仿真技术[J].岩土力学,2011,32(增刊2):573–579.(CHEN Wei-zhong,CHEN Pei-shuai,WANG Hui.Dynamic simulation technology for crack extension process[J].Rock and Soil Mechanics,2011,32(S2):573–579.(in Chinese))
[6]黄建安,王思敬.岩石断裂韧性的试验研究[J].岩土工程学报,1982,4(2):67–74.(HUANG Jian-an,WANG Si-jing.Experimental study of the fracture toughness[J].Chinese Journal of Geotechnical Engineering,1982,4(2):67–74.(in Chinese))
[7]张盛,王启智.用5种圆盘试件的劈裂试验确定岩石断裂韧度[J].岩土力学,2009,31(1):12–18.(ZHANG Sheng,WANG Qi-zhi.Determination of rock fracture toughness by split test using five types of disc specimens[J].Rock and Soil Mechanics,2009,31(1):12–18.(in Chinese))
[8]EPSTEIN J S,DADKHAH M S.Moire interferometry in fracture research[C]//Experimental Techniques in Fracture Mechanics,New York,1993:427–508.
[9]CHIANG F.Moire′and speckle methods applied to elastic-plastic fracture studies[C]//Experimental Techniques in Fracture Mechanics.New York,1993:291–325.
[10]SANFORD R J.Determining fracture parameters with full-field optical methods[J].Exp Mech,1989,29(3):241–247.
[11]OLDEN E J,PATTERSON E A.Optical analysis of crack tip stress fields:a comparative study[J].Fatigue Fract Eng Mater Struct,2004,277:623–636.
[12]MA S P,XU X H,ZHAO Y H.The Geo-DSCM system and its application to the deformation measurement of rock materials[J].International Journal of Rock Mechanics and Mining Sciences,2004,41(3):411–412.
[13]RETHORE J,GRAVOUIL A,MORESTIN F,et al.Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral I[J].J Fract,2005,132:65–79.
[14]LOPEZ-CRESPO P,SHTERENLIKHT A,PATTERSON EA,et al.The stress intensity of mixed mode cracks determined by digital image correlation[J].J Strain Anal,2008,43(8):769–780.
[15]DU Y,DíAZ F A,BURGUETE R L,et al.Evaluation using digital image correlation of stress intensity factors in an aerospace panel[J].Experimental Mechanics,2011,51:45–57.
[16]PETERS W H,RANSON W F.Digital image techniques in experimental mechanics[J].Optical Engineering,1982,21(3):427–431.
[17]YAMAGUCHI I.A laser-speckle strain gauge[J].Journal of Physics(E),1981,14(5):1270–1273.
[18]代树红,马胜利,潘一山,等.隐伏走滑断层破裂扩展特征的试验研究[J].地震地质,2006,28(4):635–645.(DAI Shu-hong,MA Sheng-li,PAN Yi-shan,et al.Experimental study on rupture propagation along buried strike-slip fault[J].Seismology and Geology,2006,28(4):635–645.(in Chinese))
[19]LIM I L,JOHNSTON I W,CHOI S K,et al.Fracture testing of a soft rock with semicircular specimens under three point bending-Part1[J].Int J Rock Mech Min,1994,31(3):185–197.
[20]KHAN K,L-SHAYEAN A A.Effect of specimen geometry and testing method on mixed mode I±II fracture toughness of a limestone rock from saudi arabia[J].Rock Mech Rock Engng,2000,33(3):179–206.
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