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Dynamic notched semi-circle bend(NSCB) method for measuring fracture properties of rocks:Fundamentals and applications
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  • 英文篇名:Dynamic notched semi-circle bend(NSCB) method for measuring fracture properties of rocks:Fundamentals and applications
  • 作者:Wei ; Yao ; Kaiwen ; Xia
  • 英文作者:Wei Yao;Kaiwen Xia;Department of Civil and Mineral Engineering,University of Toronto;
  • 英文关键词:Rocks;;Split Hopkinson pressure bar(SHPB);;Notched semi-circle bend(NSCB);;High loading rate;;Dynamic fracture
  • 中文刊名:Journal of Rock Mechanics and Geotechnical Engineering
  • 英文刊名:岩石力学与岩土工程学报(英文版)
  • 机构:Department of Civil and Mineral Engineering,University of Toronto;
  • 出版日期:2019-10-15
  • 出版单位:Journal of Rock Mechanics and Geotechnical Engineering
  • 年:2019
  • 期:05
  • 基金:supported by the Natural Sciences and Engineering Research Council of Canada(NSERC)through the Discovery Grant No.72031326;; supported by Mitacs through the Mitacs Accelerate Programme
  • 语种:英文;
  • 页:162-189
  • 页数:28
  • CN:42-1801/O3
  • ISSN:1674-7755
  • 分类号:TU45
摘要
Rocks are increasingly used in extreme environments characterised by high loading rates and high confining pressures.Thus the fracture properties of rocks under dynamic loading and confinements are critical in various rock mechanics and rock engineering problems.Due to the transient nature of dynamic loading,the dynamic fracture tests of rocks are much more challenging than their static counterparts.Understanding the dynamic fracture behaviour of geomaterials relies significantly on suitable and reliable dynamic fracture testing methods.One of such methods is the notched semi-circle bend(NSCB) test combined with the advanced split Hopkinson pressure bar(SHPB) system,which has been recommended by the International Society for Rock Mechanics and Rock Engineering(ISRM) as the standard method for the determination of dynamic fracture toughness.The dynamic NSCB-SHPB method can provide detailed insights into dynamic fracture properties including initiation fracture toughness,fracture energy,propagation fracture toughness and fracture velocity.This review aims to fully describe the detailed principles and state-of-the-art applications of dynamic NSCB-SHPB techniques.The history and principles of dynamic NSCB-SHPB tests for rocks are outlined,and then the applications of dynanic NSCB-SHPB method(including the measurements of initiation and propagation fracture toughnesses and the limiting fracture velocity,the size effect and the digital image correlation(DIC) experiments) are discussed.Further,other applications of dynamic NSCB-SHPB techniques(i.e.the thermal,moisture and anisotropy effects on the dynamic fracture properties of geomaterials,and dynamic fracture toughness of geomaterials under pre-loading and hydrostatic pressures) are presented.
        Rocks are increasingly used in extreme environments characterised by high loading rates and high confining pressures.Thus the fracture properties of rocks under dynamic loading and confinements are critical in various rock mechanics and rock engineering problems.Due to the transient nature of dynamic loading,the dynamic fracture tests of rocks are much more challenging than their static counterparts.Understanding the dynamic fracture behaviour of geomaterials relies significantly on suitable and reliable dynamic fracture testing methods.One of such methods is the notched semi-circle bend(NSCB) test combined with the advanced split Hopkinson pressure bar(SHPB) system,which has been recommended by the International Society for Rock Mechanics and Rock Engineering(ISRM) as the standard method for the determination of dynamic fracture toughness.The dynamic NSCB-SHPB method can provide detailed insights into dynamic fracture properties including initiation fracture toughness,fracture energy,propagation fracture toughness and fracture velocity.This review aims to fully describe the detailed principles and state-of-the-art applications of dynamic NSCB-SHPB techniques.The history and principles of dynamic NSCB-SHPB tests for rocks are outlined,and then the applications of dynanic NSCB-SHPB method(including the measurements of initiation and propagation fracture toughnesses and the limiting fracture velocity,the size effect and the digital image correlation(DIC) experiments) are discussed.Further,other applications of dynamic NSCB-SHPB techniques(i.e.the thermal,moisture and anisotropy effects on the dynamic fracture properties of geomaterials,and dynamic fracture toughness of geomaterials under pre-loading and hydrostatic pressures) are presented.
引文
Amiot F,Bornert M,Doumalin P.Dupre JC.Fazzini M,Orteu JJ,Poilane C,Robert L.Rotinat R,Toussaint E,Wattrisse B,Wienin JS.Assessment of digital image correlation measurement accuracy in the ultimate error regime:main results of a collaborative benchmark.Strain 2013;49(6):483-96.
    Anderson TL Fracture mechanics:fundamentals and applications.4th ed.CRC Press;2017.
    ASTM E399-90.Standard test method for plane-strain fracture toughness of metallic materials.West Conshohocken,USA:ASTM International;1997.
    Atkinson BK.Fracture mechanics of rock.Elsevier;1987.
    Ayatollahi MR,Aliha MRM.Fracture toughness study for a brittle rock subjected to mixed mode I/II loading.International Journal of Rock Mechanics and Mining Sciences 2007;44(4):617-24.
    Bai H,Ma D,Chen Z.Mechanical behavior of groundwater seepage in karst collapse pillars.Engineering Geology 2013;164:101-6.
    Barla G.Zhao J.Special issue:rock dynamics and earthquake engineering.Rock Mechanics and Rock Engineering 2010;43(6):655-906.
    Barsoum RS.Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements.International Journal for Numerical Methods in Engineering1977;11(1):85-98.
    Bergmann G,Vehoff H.Precracking of NiAl single crystals by compressioncompression fatigue and its application to fracture toughness testing.Scripta Metallurgica et Materialia 1994;30(8):969-74.
    Bornert M,Doumalin P,Dupre JC,Poilane C,Robert L,Toussaint E,Wattrisse B.Assessment of digital image correlation measurement accuracy in the ultimate error regime:Improved models of systematic and random errors.Experimental Mechanics 2018:58(1):33-48.
    Broberg KB.Constant velocity crack propagation-dependence on remote load.International Journal of Solids and Structures 2002;39(26):6403~10.
    Cai X,Zhou Z,Ma D,Li X,Zhao G.Dynamic fracture behavior of dry and saturated sandstone.In:Li CL,Li X,Zhang Z,editors.Rock dynamics and applications 3.CRC Press;2018.p.83-8.
    Chang SH,Lee Cl,Jeon S.Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens.Engineering Geology 2002;66(1-2):79-97.
    Chen R,Li K,Xia K,Lin Y,Yao W,Lu F.Dynamic fracture properties of rocks subjected to static pre-load using notched semi-circular bend method.Rock Mechanics and Rock Engineering 2016;49(10):3865—72.
    Chen R,Xia K,Dai F,Lu F,Luo SN.Determination of dynamic fracture parameters using a semi-circular bend technique in split Hopkinson pressure bar testing.Engineering Fracture Mechanics 2009;76(9):1268-76.
    Chong K,Kuruppu M.New method to determine the fracture toughness of rocks and oil shale.In:SMH-A1ME fall meeting.Denver,USA;1984.p.1853-7.
    Chong KP,Kuruppu MD,Kuszmaui JS.Fracture toughness determination of layered materials.Engineering Fracture Mechanics 1987;28(1):43-54.
    Chong KP,Kuruppu MD,Kuszmaui JS.Fracture toughness determination of rocks with core-based specimens.In:Shah SP,Swartz SE,editors.Fracture of concrete and rock.Springer;1989.p.13-25.
    Chong KP,Kuruppu MD.New specimen for fracture-toughness determination for rock and other materials.International Journal of Fracture 1984a;26(2):R59-62.
    Dai F,Chen R,Iqbal MJ,Xia K.Dynamic cracked chevron notched Brazilian disc method for measuring rock fracture parameters.International Journal of Rock Mechanics and Mining Sciences 2010a;47(4):606-13.
    Dai F,Chen R,Xia K.A semi-circular bend technique for determining dynamic fracture toughness.Experimental Mechanics 2010b;50(6):783-91.
    Dai F,Xia K,Nasseri MHB.Micromechanical model for the rate dependence of the fracture toughness anisotropy of Barre granite.International Journal of Rock Mechanics and Mining Sciences 2013;63:113-21.
    Dai F,Xia K,Zheng H,Wang YX.Determination of dynamic rock mode-1 fracture parameters using cracked chevron notched semi-circular bend specimen.Engineering Fracture Mechanics 2011;78(15):2633-44.
    Dai F,Xia KW.Laboratory measurements of the rate dependence of the fracture toughness anisotropy of Barre granite,international Journal of Rock Mechanics and Mining Sciences 2013;60:57-65.
    Dally JW,Dynamic photoelastic studies of fracture.Experimental Mechanics1979;19(10):349-61.
    Freund LB.Dynamic fracture mechanics.Cambridge University Press;1998.
    Friedman M,Handin J,Alani G.Fracture-surface energy of rocks.International Journal of Rock Mechanics and Mining Sciences&Geomechanics Abstracts1972;9(6):757-66.
    Gao G,Huang S.Xia K.Li Z.Application of digital image correlation(DIC)in dynamic notched semi-circular bend(NSCB)tests.Experimental Mechanics 2015b;55(1):95-104.
    Gao G,Yao W,Xia K,Li Z.Investigation of the rate dependence of fracture propagation in rocks using digital image correlation(DIC)method.Engineering Fracture Mechanics 2015a;138:146—55.
    Guha Roy D,Singh TN,Kodikara J,Das R.Effect of water saturation on the fracture and mechanical properties of sedimentary rocks.Rock Mechanics and Rock Engineering 2017;50(10):2585-600.
    Gui YL,Bui HH,Kodikara J,Zhang QB,Zhao J,Rabczuk T.Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model.International Journal of Impact Engineering 2016;87:146-55.
    Haberfield CM,Johnston IW.Determination of the fracture toughness of a saturated soft rock.Canadian Geotechnical Journal 1990;27(3):276-84.
    Hopkinson B.A method of measuring the pressure produced in the detonation of high explosives or by the impact of bullets.Philosophical Transactions of the Royal Society of London Series A:Mathematical,Physical and Engineering Sciences 1914;213:437-56.
    Iqbal MJ,Mohanty B.Experimental calibration of stress intensity factors of the ISRM suggested cracked chevron-notched Brazilian disc specimen used for determination of mode-I fracture toughness.International Journal of Rock Mechanics and Mining Sciences 2006;43(8):1270-6.
    Iverson RM.Landslide triggering by rain infiltration.Water Resources Research2000;36(7):1897-910.
    Kaya AC,Erdogan F.Stress intensity factors and COD in an orthotropic strip.International Journal of Fracture 1980;16(2):171-90.
    Ke CC,Chen CS,Tu CH.Determination of fracture toughness of anisotropic rocks by boundary element method.Rock Mechanics and Rock Engineering 2008;41(4):509-38.
    Klepaczko JR,Bassim MN,Hsu TR.Fracture toughness of coal under quasi-static and impact loading.Engineering Fracture Mechanics 1984;19(2):305-16.
    Kolsky H.An investigation of the mechanical properties of materials at very high rates of loading.Proceedings of the Royal Society,Section B 1949;B62:676-700.
    Kourkoulis S,Markides CF.Fracture toughness determined by the centrally cracked Brazilian-disc test:some critical issues in the light of an alternative analytic solution.Materials Performance and Characterization 2014;3(3):45~86.
    Krafft JM,Sullivan AM,Tipper CF.The effect of static and dynamic loading and temperature on the yield stress of iron and mild steel in compression.Proceedings of the Royal Society of London Series A:Mathematical and Physical Sciences 1954;221(1144):114-27.
    Kuruppu MD,Obara Y,Ayatollahi MR,Chong KP,Funatsu T.ISRM-suggested method for determining the mode i static fracture toughness using semi-circular bend specimen.Rock Mechanics and Rock Engineering 2014:47(1):267-74.
    Lambert DE,Ross CA.Strain rate effects on dynamic fracture and strength,international Journal of Impact Engineering 2000;24(10):985-98.
    Lim IL,Johnston IW,Choi SK.Stress intensity factors for semi-circular specimens under three-point bending.Engineering Fracture Mechanics 1993;44(3):363-82.
    UrL mU Johnston IW,Choi SK.Assessment of mixed一mode fracture toughness testing methods for rock.International Journal of Rock Mechanics and Mining Sciences&Geomechanics Abstracts 1994a;31(3):265—72.
    Lim IL,Johnston IW,Choi SK,Boland JN.Fracture testing of a soft rock with semicircular specimens under three-point bending.Part 1-mode I.International Journal of Rock Mechanics and Mining Sciences&Geomechanics Abstracts1994b;31(3):185-97.
    Lindholm U.Some experiments with the split hopkinson pressure bar.Journal of the Mechanics and Physics of Solids 1964;12(5):317—35.
    Nakano M,Kishida K.Yamauchi Y,Sogabe Y.Dynamic fracture initiation in brittle materials under combined mode I/II loading.Journal de Physique IV Colloque1994;4(C8):C8-C695-C8-C700.
    Nasseri MHB,Mohanty B.Fracture toughness anisotropy in granitic rocks.International Journal of Rock Mechanics and Mining Sciences 2008;45(2):167-93.
    Ouchterlony F.Prediction of crack lengths in rock after cautious blasting with zero inter-hole delay.Fragblast 1997;1(4):417—44.
    Ouchterlony F.Suggested methods for determining the fracture toughness of rock.International Journal of Rock Mechanics and Mining Sciences&Ceomechanics Abstracts 1988;25(2):71-96.
    Ouchterlony F.Influence of blasting on the size distribution and properties of muckpile fragments,a state-of-the art review.MinFo project report P2000-10.Stockholm,Sweden:Swedish Industrial Minerals Association;2003.
    Owen DM,Zhuang S,Rosakis AJ,Ravichandran G.Experimental determination of dynamic crack initiation and propagation fracture toughness in thin aluminum sheets.International Journal of Fracture 1998:90(1—2):153-74.
    Pan B,Qian K,Xie H,Asundi A.Two-dimensional digital image correlation for inplane displacement and strain measurement:a review.Measurement Scienceand Technology 2009;20(6):062001.https://doi.org/10.1088/0957-0233/20/6/062001.
    Pan B,Xie H,Wang Z.Equivalence of digital image correlation criteria for pattern matching.Applied Optics 2010;49(28):5501-9.
    Phillips WJ,Phillips N.An introduction to nineralogy for geologists.John Wiley&Sons;1980.
    Prochazka PP.Application of discrete element methods to fracture mechanics of rock bursts.Engineering Fracture Mechanics 2004;71(4—6):601—18.
    Rossmanith HP,Daehnke A,Nasmillner REK,Kouzniak N,Ohtsu M,Uenishi K.Fracture mechanics applications to drilling and blasting.Fatigue and Fracture of Engineering Materials and Structures 1997;20(11):1617-36.
    Rutter E,Hackston A.On the effective stress law for rock-on-rock frictional sliding,and fault slip triggered by means of fluid injection.Philosophical Transactions of the Royal Society A:Mathematical,Physical and Engineering Sciences2017:375(2103).https://doi.org/10.1098/rsta.2016.0001.
    Sano O,Kudo Y,Mizuta Y.Experimental determination of elastic constants of Oshima granite,Barre granite,and Chelmsford granite.Journal of Geophysical Research:Solid Earth 1992;97(B3):3367-79.
    Schedl A,Kronenberg AK,Tullis J.Deformation microstructures of Barre granite:an optical,Sem and Tem study.Tectonophysics 1986:122(1-2):149-64.
    Shi X,Yao W,Liu Da,Xia K.Tang T,Shi Y.Experimental study of the dynamic fracture toughness of anisotropic black shale using notched semi-circular bend specimens.Engineering Fracture Mechanics 2019;205:136-51.
    Singh RN,Sun GX.The relationship between fracture toughness hardness indices and mechanical properties of rocks,vol.41.Nottingham University Mining Department Magazine;1989a.p.123-36.
    Singh R,Sun G.A fracture mechanics approach to rock slope stability assessment.In:Mining for the future trends and expectations:proceedings of 14th worm mining congress.Pergamon;1989b.p.543-8.
    Singh RN,Sun G.A numerical and experimental investigation for determining fracture toughness of Welsh limestone.Mining Science and Technology1990a;10(1):61-70.
    Singh RN,Sun GX.An investigation into factors affecting fracture toughness of coal measures sandstones.Journal of Mines,Metals and Fuels 1990b;38:111-8.
    Siviour CR,Grantham SG,Williamson DM,Proud WG,Field JE.Novel measurements of material properties at high rates of strain using speckle metrology.The Imaging Science Journal 2009;57(6):326-32.
    Song B,Chen W.Energy for specimen deformation in a split Hopkinson pressure bar experiment Experimental Mechanics 2006;46(3):407-10.
    Subhash G,Ravichandran G,Gray GT.Split-Hopkinson pressure bar testing of ceramics.In:Kuhn H,Medlin D,editors.ASM handbook,vol.8:mechanical testing and evaluation.Ohio,USA:ASM International;2000.p.1114-34.
    Suresh S,Ewart L,Maden M,Slaughter WS,Nguyen M.Fracture toughness measurements in ceramics:pre-cracking in cyclic compression.Journal of Materials Science 1987;22(4):1271-6.
    Tan CL,Gao YL Boundary integral equation fracture mechanics analysis of plane orthotropic bodies.International Journal of Fracture 1992;53(4):343-65.
    Tang C,Xu X.A new method for measuring dynamic fracture toughness of rock.Engineering Fracture Mechanics 1990;35(4-5):783-91.
    Walley SM.Historical review of high strain rate and shock properties of ceramics relevant to their application in armour.Advances in Applied Ceramics2010;109(8):446-66.
    Wang QZ.Formula for calculating the critical stress intensity factor in rock fracture toughness tests using cracked chevron notched Brazilian disc(CCNBD)specimens.International Journal of Rock Mechanics and Mining Sciences 2010:47(6):1006-11.
    Wang QZ,Fan H,Gou XP.Zhang S.Recalibration and clarification of the formula applied to the ISRM-suggested CCNBD specimens for testing rock fracture toughness.Rock Mechanics and Rock Engineering 2013;46(2);303—13.
    Wang QZ,Ni M,Zhang C,Li L Clarification of formulae for stress intensity factor for DCDC specimens.International Journal of Fracture 2016;201(2):249-50.
    Wang Zt,Li YC,Shen RF.Numerical simulation of tensile damage and blast crater in brittle rock due to underground explosion.International Journal of Rock Mechanics and Mining Sciences 2007;44(5):730-8.
    Weisbrod C.Rittel D.A method for dynamic fracture toughness determination using short beams.International Journal of Fracture 2000;104(1):89-103.
    Wen BP,Aydin A.Mechanism of a rainfall-induced slide-debris flow:constraints from microstructure of its slip zone.Engineering Geology 2005;78(1-2):69-88.
    Wu B,Yao W,Xia K.An experimental study of dynamic tensile failure of rocks subjected to hydrostatic confinement.Rock Mechanics and Rock Engineering20l6;49(10):3855-64.
    Xia K.Status of characterization of strength and fracture properties of rocks under dynamic loading.In:Singh PK,Sinha A,editors.Rock fragmentation by blasting.CRC Press;2012.p.41-51,
    Xia K,Yao W.Dynamic rock tests using split Hopkinson(Kolsky)bar system-a review.Journal of Rock Mechanics and Geotechnical Engineering 2015;7(1):27-59.
    Xing HZ.Zhang QB,Braithwaite CH.Pan B,Zhao J.High-speed photography and digital optical measurement techniques for geomaterials:fundamentals and applications.Rock Mechanics and Rock Engineering 2017;50(6):1611-59.
    Xu Y,Dai F,Xu NW,Zhao T.Numerical investigation of dynamic rock fracture toughness determination using a semi-circular bend specimen in splitHopkinson pressure bar testing.Rock Mechanics and Rock Engineering2016;49(3):731-45.
    Xu Y.Zhang J.Yao W,Xia K.Experimental study of dynamic fracture energy anisotropy of granitic rocks.Chinese Journal of Rock Mechanics and Engineering 2018;(Supp.1):3231-8(in Chinese).
    Yao W,Xia K,Zhang T.Dynamic fracture test of Laurentian granite subjected to hydrostatic pressure.Experimental Mechanics 2019;59(2):245-50.
    Yao W,Xu Y,Liu HW,Xia K.Quantification of thermally induced damage and its effect on dynamic fracture toughness of two mortars.Engineering Fracture Mechanics 2017;169:74-88.
    Yin T.Li X,Xia K,Huang S.Effect of thermal treatment on the dynamic fracture toughness of Laurentian granite.Rock Mechanics and Rock Engineering2012;45(6):1087-94.
    Yin Z.Ma H.Hu Z.Zou Y.EfFect of static-dynamic coupling loading on fracture toughness and failure characteristics in marble.Journal of Engineering Science&Technology Review 20l4;7(2):169-74.
    Zehnder AT.Rosakis AJ.Dynamic fracture initiation and propagation in 4340 steel under impact loading.International Journal of Fracture 1990;43(4):271-85.
    Zhang QB,Zhao J.Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads.International Journal of Rock Mechanics and Mining Sciences 2013a;60:423-39.
    Zhang QB.Zhao J.Effect of loading rate on fracture toughness and failure micromechanisms in marble.Engineering Fracture Mechanics 2013b;102:288-309.
    Zhang QB,Zhao J.Quasi-static and dynamic fracture behaviour of rock materials:phenomena and mechanisms.Intermational Journal of Fracture 2014a;189(1):1-32.
    Zhang QB,Zhao J.A review of dynamic experimental techniques and mechanical behaviour of rock materials.Rock Mechanics and Rock Engineering2014b;47(4):1411-78.
    Zhang 21X.Kou SQ,Yu J.Yu Y.Jiang LG.Lindqvist PA.Effects of loading rate on rock fracture.International Journal of Rock Mechanics and Mining Sciences1999;36(5):597-611.
    Zhang ZX.Kou SQ,Jiang LG,Lindqvist PA.Effects of loading rate orn rock fracture:fracture characteristics and energy partitioning.International Journal of Rock Mechanics and Mining Sciences 2000;37(5):745-62.
    Zhao J.Zhou YX,Xia KW.Advances in rock dynamics modelling,testing and engineering.In:The 12th ISRM international congress on rock mechanics.Taylor&Francis;2012.p.147-54.
    Zhao J.An overview of some recent progress in rock dynamics research.In:Zhou YX,Zhao J.editors.Advances in rock dynamics and applications.Boca Raton.USA:CRC Press/Balkema;2011.p.5-33.
    Zhou XP.Yang HQ.Micromechanical modeling of dynamic compressive responses of mesoscopic heterogenous brittle rock.Theoretical and Applied Fracture Mechanics 2007:48(1):1-20.
    Zhou XP,Yang HQ,Zhang YX.Rate dependent critical strain energy density factor of Huanglong limestone.Theoretical and Applied Fracture Mechanics 2009:51(1):57-61.
    Zhou XP.Qian QH,Yang HQ.Effect of loading rate on fracture characteristics of rock.Journal of Central South University of Technology 2010;17(1):150-5.
    Zhou YX,Xia K.Li XB.Li HB.Ma GW,Zhao J.Zhou ZL,Dai F.Suggested methods for determining the dynamic strength parameters and mode-1 fracture toughness of rock materials.International Journal of Rock Mechanics and Mining Sciences2012:49:105-12.
    Zhou Z,Cai X.Ma D.Cao W,Chen L Zhou J.Effects of water content on fracture and mechanical behavior of sandstone with a low clay mineral content.Engineering Fracture Mechanics 2018;193:47-65.
    Zhu XK,Joyce JA.Review of fracture toughness(G,K.J,CTOD,CTOA)testing and standardization.Engineering Fracture Mechanics 2012;85:1-46.
    Zhu Z.Mohanty B.Xie H.Numerical investigation of blasting-induced crack initiation and propagation in rocks.Intermational Journal of Rock Mechanics and Mining Sciences 2007;44(3):412-24.

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