Abstract
Cohesion and internal friction angle are the two material parameters used in the Coulomb model to predict rock failure in many rock engineering applications. Although these two parameters have been extensively quantified under static conditions using the direct shear or the triaxial compression methods, the effect of dynamic loading on these parameters is not yet clear. A dynamic punch shear method was proposed by Huang et al. (Rev Sci Instrum 82:053901. https://doi.org/10.1063/1.3585983, 2011) to measure the dynamic cohesion of rocks, and the dependence of cohesion on the loading rate has been revealed. To further investigate the effect of dynamic loading on the internal friction angle and thus the complete dynamic shear response of rocks, this method is extended in this study to include the normal stress by applying lateral confinement to a disc specimen. The confinement is realized by enclosing the specimen assembly in a 1.5 inch diameter Hoek cell. The dynamic load is applied by a split Hopkinson pressure bar system, which is modified to ensure that the specimen assembly remains intact in the Hoek cell during pressurization by applying a static axial pre-stress. Three groups of green sandstone specimens under confinements of 0, 10 and 20 MPa are tested with different loading rates. The results show that the dynamic shear strength exhibits significant rate dependency and it thus increases with the loading rate and the normal stress. The dynamic cohesion increases with the loading rate, while the internal friction angle remains constant.
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Abbreviations
- GS:
-
Green sandstone
- ISRM:
-
International Society for Rock Mechanics and Rock Engineering
- MTS:
-
Material test system
- PS:
-
Punch shear
- PTS:
-
Punch through shear
- SHPB:
-
Split Hopkinson pressure bar
- BPI:
-
Block punch index
- A :
-
Cross-sectional area of bars (mm2)
- B :
-
Thickness of the punch shear specimen (mm)
- C 0 :
-
Cohesion of rock (MPa)
- D :
-
Diameter of the bars (mm)
- E :
-
Young’s modulus of the bars (GPa)
- F 1 :
-
Total force on incident end of the punch shear specimen (N)
- F 2 :
-
Total force on transmitted end of the punch shear specimen (N)
- P 1 :
-
Force on incident end of the punch shear specimen due to stress wave (N)
- P 2 :
-
Force on transmitted end of the punch shear specimen due to stress wave (N)
- p 0 :
-
Hydrostatic confining pressure (MPa)
- \({\tau _{\text{s}}}\) :
-
Shear strength of the green sandstone specimen (MPa)
- c :
-
One dimensional stress wave speed of the bar (m/s)
- v 0 :
-
Velocity of the striker (m/s)
- ρ :
-
Density of the bars (kg/m3)
- σ nor :
-
Normal stress applied on the specimen shear surface (MPa)
- σ pre :
-
Axial pre-stress (MPa)
- µ :
-
Coefficient of internal friction
- ϕ :
-
Internal friction angle of rock (°)
- ε i :
-
Incident wave in strain
- ε r :
-
Reflected wave in strain
- ε t :
-
Transmitted wave in strain
- \(\dot {\tau }\) :
-
Loading rate of the dynamic punch shear test (GPa/s)
- α :
-
Fitting parameter
References
ASTM (2008a) D3846-08 Standard test method for in-plane shear strength of reinforced plastics. ASTM International, West Conshohocken. https://doi.org/10.1520/D3846-08
ASTM (2008b) D5607-08 standard test method for performing laboratory direct shear strength tests of rock specimens under constant normal force. ASTM International, West Conshohocken. https://doi.org/10.1520/D5607-08
Backers T, Stephansson O, Rybacki E (2002) Rock fracture toughness testing in mode II—punch-through shear test. Int J Rock Mech Min 39:755–769. https://doi.org/10.1016/S1365-1609(02)00066-7
Cen DF, Huang D (2017) Direct shear tests of sandstone under constant normal tensile stress condition using a simple auxiliary device. Rock Mech Rock Eng 50:1425–1438. https://doi.org/10.1007/s00603-017-1179-1
Charalampidou E-M, Hall SA, Stanchits S, Lewis H, Viggiani G (2011) Characterization of shear and compaction bands in a porous sandstone deformed under triaxial compression. Tectonophysics 503:8–17. https://doi.org/10.1016/j.tecto.2010.09.032
Chen W, Zhang B, Forrestal M (1999) A split Hopkinson bar technique for low-impedance materials. Exp Mech 39:81–85. https://doi.org/10.1007/BF02331109
Dabboussi W, Nemes JA (2005) Modeling of ductile fracture using the dynamic punch test. Int J Mech Sci 47:1282–1299. https://doi.org/10.1016/j.ijmecsci.2005.01.015
Dai F, Huang S, Xia KW, Tan ZY (2010) Some fundamental issues in dynamic compression and tension tests of rocks using split hopkinson pressure bar. Rock Mech Rock Eng 43:657–666. https://doi.org/10.1007/s00603-010-0091-8
Gaziev É (1979) Shear strength of rock. Power Technol Eng (formerly Hydrotechnical Construction) 13:280–282
Grima MA, Miedema SA, van de Ketterij RG, Yenigul NB, van Rhee C (2015) Effect of high hyperbaric pressure on rock cutting process. Eng Geol 196:24–36. https://doi.org/10.1016/j.enggeo.2015.06.016
Huang S, Feng XT, Xia K (2011) A dynamic punch method to quantify the dynamic shear strength of brittle solids. Rev Sci Instrum 82:053901. https://doi.org/10.1063/1.3585983
Huang S, Xia K, Zheng H (2013) Observation of microscopic damage accumulation in brittle solids subjected to dynamic compressive loading. Rev Sci Instrum 84:093903. https://doi.org/10.1063/1.4821497
Jaeger C (1979) Rock mechanics and engineering. Cambridge University Press, Cambridge
Jaeger JC, Cook NG, Zimmerman R (2009) Fundamentals of rock mechanics. Wiley, New York
Jang H-S, Zhang Q-Z, Kang S-S, Jang B-A (2018) Determination of the basic friction angle of rock surfaces by tilt tests. Rock Mech Rock Eng 51:989–1004. https://doi.org/10.1007/s00603-017-1388-7
Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc B 62:676–700
Lama R, Vutukuri V (1978) Handbook on mechanical properties of rocks: testing techniques and results, vol II. Trans Tech Publications, Clausthal
Lemaitre J, Chaboche J-L (1994) Mechanics of solid materials. Cambridge University Press, Cambridge
Li HB, Zhao J, Li TJ (1999) Triaxial compression tests on a granite at different strain rates and confining pressures. Int J Rock Mech Min 36:1057–1063. https://doi.org/10.1016/S1365-1609(99)00120-3
Li H, Zhao J, Li T (2000) Micromechanical modelling of the mechanical properties of a granite under dynamic uniaxial compressive loads. Int J Rock Mech Min 37:923–935. https://doi.org/10.1016/S1365-1609(00)00025-3
Li ZH, Bi XP, Lambros J, Geubelle PH (2002) Dynamic fiber debonding and frictional push-out in model composite systems: experimental observations. Exp Mech 42:417–425. https://doi.org/10.1007/BF02412147
Lukić B, Forquin P (2016) Experimental characterization of the punch through shear strength of an ultra-high performance concrete. Int J Impact Eng 91:34–45. https://doi.org/10.1016/j.ijimpeng.2015.12.009
Mazanti B, Sowers G (1966) Laboratory testing of rock strength. In: Testing techniques for rock mechanics. ASTM International. https://doi.org/10.1520/STP45143S
Otani J, Obara Y (2014) X-Ray CT for geomaterials: soils, concrete, rocks. In: Rocks international workshop on Xray CT for geomaterials, Kumamoto, Japan. CRC Press, Boca Raton
Patton FD (1966) Multiple modes of shear failure in rock. In: international society for rock mechanics. 1st ISRM congress, 25 September–1 October, Lisbon, Portugal
Qu JB, Dabboussi W, Hassani F, Nemes J, Yue S (2005) Effect of microstructure on static and dynamic mechanical property of a dual phase steel studied by shear punch testing. ISIJ Int 45:1741–1746. https://doi.org/10.2355/isijinternational.45.1741
Schrier van der JS (1988) The block punch index test. Bull Int Assoc Eng Geol 38:121–126
Stacey TR (1980) A simple device for the direct shear-strength testing of intact rock. J South Afr Inst Min Metall 80:129–130
Sulukcu S, Ulusay R (2001) Evaluation of the block punch index test with particular reference to the size effect, failure mechanism and its effectiveness in predicting rock strength. Int J Rock Mech Min 38:1091–1111. https://doi.org/10.1016/S1365-1609(01)00079-X
Ulusay R (2014) The complete ISRM suggested methods for rock characterization, testing and monitoring: 2007–2014. Springer, Berlin
Ulusay R, Gokceoglu C (1997) The modified block punch index test. Can Geotech J 34:991–1001. https://doi.org/10.1139/t97-049
Ulusay R, Hudson JA (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. The ISRM Turkish National Group, Ankara
Wu B, Chen R, Xia K (2015) Dynamic tensile failure of rocks under static pre-tension. Int J Rock Mech Min 80:12–18. https://doi.org/10.1016/j.ijrmms.2015.09.003
Wu B, Yao W, Xia K (2016) An experimental study of dynamic tensile failure of rocks subjected to hydrostatic confinement. Rock Mech Rock Eng 49:3855–3864. https://doi.org/10.1007/s00603-016-0946-8
Xia K, Yao W (2015) Dynamic rock tests using split Hopkinson (Kolsky) bar system—a review. J Rock Mech Geotech Eng 7:27–59. https://doi.org/10.1016/j.jrmge.2014.07.008
Xu Y, Dai F (2018) Dynamic response and failure mechanism of brittle rocks under combined compression-shear loading experiments. Rock Mech Rock Eng 51:747–764. https://doi.org/10.1007/s00603-017-1364-2
Yao W, He T, Xia K (2017) Dynamic mechanical behaviors of Fangshan marble. J Rock Mech Geotech Eng 9:807–817. https://doi.org/10.1016/j.jrmge.2017.03.019
Zhang QB, Zhao J (2014) A review of dynamic experimental techniques and mechanical behaviour of rock materials. Rock Mech Rock Eng 47:1411–1478. https://doi.org/10.1007/s00603-013-0463-y
Zhao J (2000) Applicability of Mohr–Coulomb and Hoek–Brown strength criteria to the dynamic strength of brittle rock. Int J Rock Mech Min 37:1115–1121. https://doi.org/10.1016/S1365-1609(00)00049-6
Zhao J, Li H, Wu M, Li T (1999) Dynamic uniaxial compression tests on a granite. Int J Rock Mech Min 36:273–277. https://doi.org/10.1016/S0148-9062(99)00008-X
Zhou YX et al (2012) Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials. Int J Rock Mech Min 49:105–112. https://doi.org/10.1016/j.ijrmms.2011.10.004
Acknowledgements
This work has been supported by the National Natural Science Foundation of China (no. 51704211) and Natural Science Foundation of Tianjin (no. 16JCQNJC07800). K.X. acknowledges financial support by the Natural Sciences and Engineering Research Council of Canada (NSERC) through Discovery Grant no. 72031326.
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Xu, Y., Yao, W., Xia, K. et al. Experimental Study of the Dynamic Shear Response of Rocks Using a Modified Punch Shear Method. Rock Mech Rock Eng 52, 2523–2534 (2019). https://doi.org/10.1007/s00603-019-1744-x
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DOI: https://doi.org/10.1007/s00603-019-1744-x