Influence of Microroughness on the Frictional Behavior and Wear Response of Planar Saw-Cut Rock Surfaces
Publication: International Journal of Geomechanics
Volume 20, Issue 8
Abstract
Saw-cut rock surfaces, classically utilized to estimate basic friction angle of discontinuities by means of tilt test and other procedures, may seem planar to the naked eye. Nevertheless, they actually present roughness at a micrometric scale. Aiming at characterizing some of these saw-cut rock surfaces and assessing the possible implications between their microscale topography and the resulting tribological behavior, the authors of this study resorted to the 3D focus-variation technique to analyze different surface-texture parameters. Tilt tests were carried out on specimens cut on three rock types, and the involved sliding surfaces were evaluated at a microscale for different testing stages (prior to any test and after two series of repeated tests). An apparently logical inverse correlation between repeated testing and friction angle has been observed, more marked for the smoother surfaces. Higher roughness at the scale of the analysis tends to produce lower friction-angle values, as otherwise observed for mismatched natural rock surfaces. In addition, saw-cut rock surfaces present systematically negative skewness and high values of kurtosis for their height distributions, indicating the occurrence of narrow and deep pits or valleys. Directional hybrid parameters and, in particular, the root mean square (RMS) of the gradient of the surface in the direction of sliding correlates rather well with the measured sliding angle. The authors concluded that the 3D focus-variation technique represents a powerful tool to assess surface-texture parameters of saw-cut rock surfaces, in addition to being useful for understanding some features of the tribological, or wear and frictional, behavior of these type of surfaces.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Dr. Carmen Serra, Dr. Paula Barbazán, and Dr. Tatiana Padín from the Scientific and Technological Research Assistance Centre (CACTI) at the University of Vigo are kindly acknowledged for their inestimable help on performing 3D surface-topographic measurements and interpretation of results. The second and third authors acknowledge the Spanish Ministry of Economy and Business for funding of the project “Deepening on the behaviour of rock masses: scale effects on the stress-strain response of fissured rock samples with particular emphasis on post-failure,” awarded under Contract Reference No. RTI2018-093563-B-I00, partially financed by means of ERDF funds from the EU.
Notation
The following symbols are used in this paper:
- g
- gravitational acceleration;
- H
- rock specimen length;
- h
- rock specimen height;
- L
- rock block length;
- Sa
- mean roughness;
- Sdq
- root mean square of the surface gradient;
- Sdqx
- root mean square of the gradient in sliding direction (x);
- Sdqy
- root mean square of the gradient perpendicular to the sliding direction (y);
- Sdr
- ratio of the increment of the interfacial area;
- Sdrx
- ratio of the increment of the interfacial area in sliding direction (x);
- Sdry
- ratio of the increment of the interfacial area perpendicular to the sliding direction (y);
- Sku
- kurtosis;
- Sq
- root mean square roughness;
- Ssk
- skewness;
- w
- specimen width;
- β
- sliding (friction) angle obtained from tilt test;
- ϕb,g
- basic friction angle of granite;
- ϕb,l
- basic friction angle of limestone; and
- ϕb,q
- basic friction angle of quartzite.
References
Alejano, L. R., J. Muralha, R. Ulusay, C. C. Li, I. Pérez-Rey, H. Karakul, P. Chryssanthakis, and Ö Aydan. 2018. “ISRM suggested method for determining the basic friction angle of planar rock surfaces by means of tilt tests.” Rock Mech. Rock Eng. 51 (12): 3853–3859. https://doi.org/10.1007/s00603-018-1627-6.
Alejano, L. R., J. Muralha, R. Ulusay, C. C. Li, I. Pérez-Rey, H. Karakul, P. Chryssanthakis, Ö Aydan, J. Martínez, and N. Zhang. 2017. “A benchmark experiment to assess factors affecting tilt test results for sawcut rock surfaces.” Rock Mech. Rock Eng. 50 (9): 2547–2562. https://doi.org/10.1007/s00603-017-1271-6.
Alejano, L. R., M. Veiga, I. Gómez-Márquez, and J. Taboada. 2012. “Stability of granite drystone masonry retaining walls: II. Relevant parameters and analytical and numerical studies of real walls.” Géotechnique 62 (11): 1027–1040. https://doi.org/10.1680/geot.10.P.113.
Bandis, S. 1980. “Experimental studies of scale effects on shear strength and deformation of rock joints.” Ph.D. thesis, Dept. of Earth Sciences, Univ. of Leeds.
Bandis, S. C., A. C. Lumsden, and N. R. Barton. 1983. “Fundamentals of rock joint deformation.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 20 (6): 249–268. https://doi.org/10.1016/0148-9062(83)90595-8.
Barton, N. 1973. “Review of a new shear-strength criterion for rock joints.” Eng. Geol. 7 (4): 287–332. https://doi.org/10.1016/0013-7952(73)90013-6.
Barton, N., and V. Choubey. 1977. “The shear strength of rock joints in theory and practice.” Rock Mechanics 10 (1–2): 1–54. https://doi.org/10.1007/BF01261801.
Biegel, R. L., W. Wang, C. H. Scholz, G. N. Boitnott, and N. Yoshioka. 1992. “Micromechanics of rock friction 1. Effects of surface roughness on initial friction and slip hardening in westerly granite.” J. Geophys. Res. 97 (B6): 8951–8964. https://doi.org/10.1029/92JB00042.
Brink, T., and J.-F. Molinari. 2019. “Adhesive wear mechanisms in the presence of weak interfaces: Insights from an amorphous model system.” Phys. Rev. Mater. 3 (5): 53604. https://doi.org/10.1103/PhysRevMaterials.3.053604.
Cawsey D. C., and N. S. Farrar. 1976a. “Discussion: A simple sliding apparatus for the measurement of rock joint friction.” Géotechnique 26 (4): 641–644. https://doi.org/10.1680/geot.1976.26.4.641.
Cawsey, D. C., and N. S. Farrar. 1976b. “A simple sliding apparatus for the measurement of rock joint friction.” Géotechnique 26 (2): 382–386. https://doi.org/10.1680/geot.1976.26.2.382.
Dagnall, H. 1986. Exploring surface texture. Leicester, UK: Taylor Hobson.
Danzl, R., F. Helmli, and S. Scherer. 2011. “Focus variation—A robust technology for high resolution optical 3D surface metrology.” J. Mech. Eng. 5 (3): 245–256. https://doi.org/10.5545/sv-jme.2010.175.
Fang, Y., D. Elsworth, T. Ishibashi, and F. Zhang. 2018. “Permeability evolution and frictional stability of fabricated fractures with specified roughness.” J. Geophys. Res. 123 (11): 9355–9375. https://doi.org/10.1029/2018JB016215.
Giacomini, A., O. Buzzi, A. M. Ferrero, M. Migliazza, and G. P. Giani. 2008. “Numerical study of flow anisotropy within a single natural rock joint.” Int. J. Rock Mech. Min. Sci. 45 (1): 47–58. https://doi.org/10.1016/j.ijrmms.2007.04.007.
González, J., N. González-Pastoriza, U. Castro, L. R. Alejano, and J. Muralha. 2014. “Considerations on the laboratory estimate of the basic friction angle of rock joints.” In Rock Engineering and Rock Mechanics: Structures in and on Rock Masses—Proc., EUROCK 2014, ISRM European Regional Symp., edited by L. R. Alejano, Á Perucho, C. Olalla, and R. Jiménez, 199–204. London: CRC Press.
Grasselli, G., and P. Egger. 2003. “Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters.” Int. J. Rock Mech. Min. Sci. 40 (1): 25–40. https://doi.org/10.1016/S1365-1609(02)00101-6.
Hencher, S. R. 1977. “The effect of vibration on the friction between planar rock surfaces.” Ph.D. thesis, Dept. of Engineering Geology, Imperial College Science and Technology.
Hencher, S. R., and L. R. Richards. 2015. “Assessing the shear strength of rock discontinuities at laboratory and field scales.” Rock Mech. Rock Eng. 48 (3): 883–905. https://doi.org/10.1007/s00603-014-0633-6.
Hoek, E., T. G. Carter, and M. S. Diederichs. 2013. “Quantification of the geological strength index chart.” In Proc., 47th U.S. Rock Mechanics/Geomechanics Symp., edited by L. J. Pyrak-Nolte, A. Chan, W. Dershowitz, J. Morris, and J. Rostami, 3116. New York: Curran Associates, Inc.
Homand, F., T. Belem, and M. Souley. 2001. “Friction and degradation of rock joint surfaces under shear loads.” Int. J. Numer. Anal. Methods Geomech. 25 (10): 973–999. https://doi.org/10.1002/nag.163.
Hunter, J. D. 2007. “Matplotlib: A 2D graphics environment.” Comput. Sci. Eng. 9 (3): 90–95. https://doi.org/10.1109/MCSE.2007.55.
Ishibashi, T., D. Elsworth, Y. Fang, J. Riviere, B. Madara, H. Asanuma, N. Watanabe, and C. Marone. 2018. “Friction-stability-permeability evolution of a fracture in Granite.” Water Resour. Res. 54 (12): 9901–9918. https://doi.org/10.1029/2018WR022598.
ISO. 2010. Geometrical product specifications (GPS)—Surface texture: Areal—Part 6: Classification of methods for measuring surface texture. ISO 25178-6:2010. Geneva: ISO.
ISO. 2012. Geometrical product specifications (GPS)urface texture: Areal—Part 2: Terms, definitions and surface texture parameters. ISO 25178–2:2012. Geneva: ISO.
ISRM (International Society for Rock Mechanics). 2007. The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974-2006. Edited by R. Ulusay and J. A. Hudson. Ankara, Turkey: ISRM.
Jang, H.-S., Q.-Z. Zhang, S.-S. Kang, and B.-A. Jang. 2018. “Determination of the basic friction angle of rock surfaces by tilt tests.” Rock Mech. Rock Eng. 51 (4): 989–1004. https://doi.org/10.1007/s00603-017-1388-7.
Krahn, J., and N. R. Morgenstern. 1979. “The ultimate frictional resistance of rock discontinuities.” J. Rock Mech. Min. Sci. Geomech. Abstr. 16 (2): 127–133. https://doi.org/10.1016/0148-9062(79)91449-9.
Kveldsvik, V., B. Nilsen, H. H. Einstein, and F. Nadim. 2008. “Alternative approaches for analyses of a 100,000 m3 rock slide based on Barton–Bandis shear strength criterion.” Landslides 5 (2): 161–176. https://doi.org/10.1007/s10346-007-0096-x.
Li, C. C., N. Zhang, and J. Ruiz. 2019. “Measurement of the basic friction angle of planar rock discontinuities with three rock cores.” Bull. Eng. Geol. Environ. 78: 847–856. https://doi.org/10.1007/s10064-017-1045-0.
Li, Y., and R. Huang. 2015. “Relationship between joint roughness coefficient and fractal dimension of rock fracture surfaces.” Int. J. Rock Mech. Min. Sci. 75: 15–22. https://doi.org/10.1016/j.ijrmms.2015.01.007.
Li, Y., and Y. Zhang. 2015. “Quantitative estimation of joint roughness coefficient using statistical parameters.” Int. J. Rock Mech. Min. Sci. 77: 27–35. https://doi.org/10.1016/j.ijrmms.2015.03.016.
Maerz, N. H., J. A. Franklin, and C. P. Bennett. 1990. “Joint roughness measurement using shadow profilometry.” J. Rock Mech. Min. Sci. Geomech. Abstr. 27 (5): 329–343. https://doi.org/10.1016/0148-9062(90)92708-M.
Marone, C., and S. J. D. Cox. 1994. “Scaling of rock friction constitutive parameters: The effects of surface roughness and cumulative offset on friction of gabbro.” Pure Appl. Geophys. 143 (1–3): 359–385. https://doi.org/10.1007/BF00874335.
Milanese, E., T. Brink, R. Aghababaei, and J.-F. Molinari. 2019. “Emergence of self-affine surfaces during adhesive wear.” Nat. Commun. 10 (1): 1116. https://doi.org/10.1038/s41467-019-09127-8.
Myers, N. O. 1962. “Characterization of surface roughness.” Wear 5 (3): 182–189. https://doi.org/10.1016/0043-1648(62)90002-9.
Oliphant, T. E. 2006. A guide to NumPy. New York: Trelgol Publishing.
Pérez-Rey, I., L. R. Alejano, N. González-Pastoriza, J. González, and J. Arzúa. 2015. “Effect of time and wear on the basic friction angle of rock discontinuities.” In Proc., European Rock Mechanics Symp., 1115–1120. Austria: Austrian Society for Geomechanics
Pérez-Rey, I., L. R. Alejano, and J. Muralha. 2019a. “Experimental study of factors controlling tilt-test results performed on saw-cut rock joints.” Geotech. Test. J. 42 (2): 20170375. https://doi.org/10.1520/GTJ20170375.
Pérez-Rey, I., L. R. Alejano, A. Riquelme, and L. González-deSantos. 2019b. “Failure mechanisms and stability analyses of granitic boulders focusing a case study in Galicia (Spain).” Int. J. Rock Mech. Min. Sci. 119: 58–71. https://doi.org/10.1016/j.ijrmms.2019.04.009.
Ramachandran, P., and G. Varoquaux. 2011. “Mayavi: 3D visualization of scientific data.” Comput. Sci. Eng. 13 (2): 40–51. https://doi.org/10.1109/MCSE.2011.35.
Reeves, M. J. 1985. “Rock surface roughness and frictional strength.” J. Rock Mech. Min. Sci. Geomech. Abstr. 22 (6): 429–442. https://doi.org/10.1016/0148-9062(85)90007-5.
Resende, R., J. Muralha, A. L. Ramos, and E. Fortunato. 2015. “Rock joint topography: Three-dimensional scanning.” Géotech. Lett. 5 (4): 318–323. https://doi.org/10.1680/jgele.15.00046.
Ríos Bayona, F., M. Stigsson, F. Johansson, and D. Mas Ivars. 2018. “Comparison between shear strength based on Barton’s roughness profiles and equivalent synthetic profiles based on fractal theory.” In Proc., 52nd U.S. Rock Mechanics/Geomechanics Symp, 4164. New York: Curran Associates, Inc.
Sedlaček, M., B. Podgornik, and J. Vižintin. 2009. “Influence of surface preparation on roughness parameters, friction and wear.” Wear 266 (3–4): 482–487. https://doi.org/10.1016/j.wear.2008.04.017.
Sedlaček, M., B. Podgornik, and J. Vižintin. 2012. “Correlation between standard roughness parameters skewness and kurtosis and tribological behaviour of contact surfaces.” Tribol. Int. 48: 102–112. https://doi.org/10.1016/j.triboint.2011.11.008.
Smith, G. T. 2002. Industrial metrology: Surfaces and roundness. London: Springer Verlag.
Stigsson, M., and D. Mas Ivars. 2019. “A novel conceptual approach to objectively determine JRC using fractal dimension and asperity distribution of mapped fracture traces.” Rock Mech. Rock Eng. 52 (4): 1041–1054. https://doi.org/10.1007/s00603-018-1651-6.
Stout, K., L. Blunt, W. Dong, E. Mainsah, N. Luo, T. Mathia, P. Sullivan, and H. Zahouani. 2000. Development of methods for characterisation of roughness in three dimensions. Oxford, UK: Butterworth-Heinemann.
Tayebi, N., and A. A. Polycarpou. 2004. “Modeling the effect of skewness and kurtosis on the static friction coefficient of rough surfaces.” Tribol. Int. 37 (6): 491–505. https://doi.org/10.1016/j.triboint.2003.11.010.
Tse, R., and D. M. Cruden. 1979. “Estimating joint roughness coefficients.” J. Rock Mech. Min. Sci. Geomech. Abstr. 16 (5): 303–307. https://doi.org/10.1016/0148-9062(79)90241-9.
Wang, C., L. Wang, and M. Karakus. 2019. “A new spectral analysis method for determining the joint roughness coefficient of rock joints.” Int. J. Rock Mech. Min. Sci. 113: 72–82. https://doi.org/10.1016/j.ijrmms.2018.11.009.
Wang, J., Y. Wang, Q. Cao, Y. Ju, and L. Mao. 2015. “Behavior of microcontacts in rock joints under direct shear creep loading.” Int. J. Rock Mech. Min. Sci. 78: 217–229. https://doi.org/10.1016/j.ijrmms.2015.05.002.
White, K., R. Bryant, and N. Drake. 1998. “Techniques for measuring rock weathering: Application to a dated fan segment sequence in southern Tunisia.” Earth Surf. Processes Landforms 23 (11): 1031–1043. https://doi.org/<1031::AID-ESP919>3.0.CO;2-G.
Wines, D. R., and P. A. Lilly. 2003. “Estimates of rock joint shear strength in part of the Fimiston open pit operation in Western Australia.” Int. J. Rock Mech. Min. Sci. 40 (6): 929–937. https://doi.org/10.1016/S1365-1609(03)00020-0.
Yang, Z. Y., S. C. Lo, and C. C. Di. 2001. “Reassessing the joint roughness coefficient (JRC) estimation using Z2.” Rock Mech. Rock Eng. 34 (3): 243–251. https://doi.org/10.1007/s006030170012.
Yu, X., and B. Vayssade. 1991. “Joint profiles and their roughness parameters.” J. Rock Mech. Min. Sci. Geomech. Abstr. 28 (4): 333–336. https://doi.org/10.1016/0148-9062(91)90598-G.
Zhang, X., Q. Jiang, N. Chen, W. Wei, and X. Feng. 2016. “Laboratory investigation on shear behavior of rock joints and a new peak shear strength criterion.” Rock Mech. Rock Eng. 49 (9): 3495–3512. https://doi.org/10.1007/s00603-016-1012-2.
Zhao, J. 1997a. “Joint surface matching and shear strength part B: JRC-JMC shear strength criterion.” Int. J. Rock Mech. Min. Sci. 34 (2): 179–185. https://doi.org/10.1016/S0148-9062(96)00063-0.
Zhao, J. 1997b. “Joint surface matching and shear strength part A: Joint matching coefficient (JMC).” Int. J. Rock Mech. Min. Sci. 34 (2): 173–178. https://doi.org/10.1016/S0148-9062(96)00062-9.
Zheng, B., and S. Qi. 2016. “A new index to describe joint roughness coefficient (JRC) under cyclic shear.” Eng. Geol. 212: 72–85. https://doi.org/10.1016/j.enggeo.2016.07.017.
Information & Authors
Information
Published In
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Sep 6, 2019
Accepted: Feb 24, 2020
Published online: May 22, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 22, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.