Experimental Validation of Modified Barton’s Model for Rock Fractures
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Abstract
Among the constitutive models for rock fractures developed over the years, Barton’s empirical model has been widely used. Although Barton’s failure criterion predicts peak shear strength of rock fractures with acceptable precision, it has some limitations in estimating the peak shear displacement, post-peak shear strength, dilation, and surface degradation. The first author modified Barton’s original model in order to address these limitations. In this study, the modified Barton’s model (the peak shear displacement, the shear stress–displacement curve, and the dilation displacement) is validated by conducting a series of direct shear tests.
Keywords
Rock fracture constitutive model Barton’s empirical model Shear strength Dilatancy Shear stiffnessNotes
Acknowledgments
Simone Adotto and Marco Invernizzi conducted this research as part of their MS theses over a 6-month period spent at the University of Texas (UT) at Austin when they were sponsored by the Polytechnic of Turin, Italy. Professor Daniele Peila, DITAG, Polytechnic of Turin co-advised Simone Adotto and Marco Invernizzi and found the funds necessary for supporting their stay at UT Austin.
References
- Amadei B, Saeb S (1990) Constitutive models of rock joints. International symposium on rock joints. A.A. Balkema, LeonGoogle Scholar
- Asadollahi P (2004) Modeling Rockbolts and Shotcrete in tunnels excavated through jointed rock and comparison with an empirical method, MSc Thesis. University of Tehran, TehranGoogle Scholar
- Asadollahi P (2009) Stability analysis of a single three dimensional rock block: effect of dilatancy and high-velocity water jet impact, PhD dissertation. University of Texas, AustinGoogle Scholar
- Bandis SC, Lumsden AC, Barton NR (1983) Fundamentals of rock joint deformation. Int J Rock Mech Min Sci Geomech Abstr 20(6):249–268CrossRefGoogle Scholar
- Barton N (1971) Estimation of in situ shear strength from back analysis of failed rock slopes. Int Symp Rock Mech Rock Fracture, Paper II-27, NancyGoogle Scholar
- Barton N (1972) A model study of rock joint deformation. Int J Rock Mech Min Sci 9:570–602Google Scholar
- Barton N (1973) Review of a new shear strength criterion for rock joints. Eng Geol 7:287–332CrossRefGoogle Scholar
- Barton N (1976) Rock mechanics review: the shear strength of rock and rock joints. Int J Rock Mech Min Sci Geomech Abstr 13:255–279CrossRefGoogle Scholar
- Barton N (1982) Modelling rock joint behavior from in situ block tests: implications for nuclear waste repository design. Office of Nuclear Waste Isolation, Columbus, OH, 96 p, ONWI-308, September 1982Google Scholar
- Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mech 10:1–54CrossRefGoogle Scholar
- Boulon M (1995) A 3D direct shear device fortesting the mechanical behaviour and the hydraulic conductivity of rock joints. In Rossmanith HP (ed) Proceedings of mechanics of jointed and faulted rock, p 407–413Google Scholar
- Brady BHG, Brown ET (2004) Rock mechanics for underground mining. Kluwer, The NetherlandsGoogle Scholar
- Desai CS, Fishman KL (1991) Plasticity-based constitutive model with associated testing for joints. Int J Rock Mech Min Sci Geomech Abstr 28(1):15–26CrossRefGoogle Scholar
- Fox DJ, Kana DD, Hsiung SM (1998) Influence of interface roughness on dynamic shear behavior in jointed rock. Int J Rock Mech Min Sci 35(7):923–940CrossRefGoogle Scholar
- Gens A, Carol I, Alonso EE (1990) A constitutive model for rock joints, formulation and numerical implementation. Comput Geotech 9:3–20CrossRefGoogle Scholar
- Goodman RE (1976) Methods of geological engineering in discontinuous rock. West, New YorkGoogle Scholar
- Grasselli G, Egger P (2003) Constitutive law for the shear strength of rock joints based on three-dimensional parameters. Int J Rock Mech Min Sci 40:25–40CrossRefGoogle Scholar
- Homand F, Lefevre F, Belem T, Souley M (1999) Rock joints behaviour under cyclic direct shear tests. In: Amadei K, Smealie Scott (eds) Rock mechanics for industry. Balkema, Rotterdam, pp 399–406Google Scholar
- Homand F, Belem T, Souley M (2001) Friction and degradation of rock joint surfaces under shear loads. Int J Num Anal Meth Geom 25:973–999CrossRefGoogle Scholar
- Huang X, Haimson BC, Plesha ME, OIU X (1993) An investigation of the mechanics of rock joints-Part I: laboratory investigation. Int J Rock Mech Min Sci Geomech Abstr 30(3):257–269CrossRefGoogle Scholar
- Hutson RW (1987) Preparation of duplicate rock joints and their changing dilatancy under cyclic shear. Northwestern University, EvanstonGoogle Scholar
- Hutson RW, Dowding CH (1990) Joint asperity degradation during cyclic shear. Int J Rock Mech Min Sci Geomech Abstr 27(2):109–119CrossRefGoogle Scholar
- ISRM (1978) Suggested methods for the quantitative description of discontinuities in rock masses. Int J Rock Mech Min Sci Geomech Abstr 15:319–368CrossRefGoogle Scholar
- ISRM (1985) Suggested methods for determining point load strength. Int J Rock Mech Min Sci 22(2):51–60CrossRefGoogle Scholar
- Jaeger JC (1971) Friction of rocks and stability of rock slopes. Geotechnique 21:97–134CrossRefGoogle Scholar
- Jafari MK, Amini Hosseini K, Pellet F, Boulon M, Buzzi O (2003) Evaluation of shear strength of rock joints subjected to cyclic loading. Soil Dyn Earthq Eng 23(7):619–630CrossRefGoogle Scholar
- Jafari MK, Pellet F, Boulon M, Amini Hosseini K (2004) Experimental study of mechanical behaviour of rock joints under cyclic loading. Rock Mech Rock Eng 37(1):3–23CrossRefGoogle Scholar
- Jing L (1990) Numerical modeling of jointed rock masses by distinct element method for two and three-dimensional problems. Lulea University of Technology, LuleaGoogle Scholar
- Jing L, Stephansson O, Nordlund E (1993) Study of rock joints under cyclic loading conditions. Rock Mech Rock Eng 26(3):215–232CrossRefGoogle Scholar
- John KW (1970) Civil engineering approach to evaluate strength and deformability of regularly jointed rock. Proceedings of 11th Symposium on Rock Mechanics, p 68–82Google Scholar
- Kana DD, Fox DJ, Hsiung SM (1996) Interlock/friction model for dynamic shear response in natural jointed rock. Int J Rock Mech Min Sci Geomech Abstr 33(4):371–386CrossRefGoogle Scholar
- Ladanyi B, Archambault G (1969) Simulation of the shear behaviour of a jointed rock mass. The 11th symposium on rock mechanics, Berkeley, p 105–125Google Scholar
- Lee HS, Park YJ, Cho TF, You KH (2001) Influence of asperity degradation on the mechanical behavior of rough rock joints under cyclic shear loading. Int J Rock Mech Min Sci 38:967–980CrossRefGoogle Scholar
- Leichnitz W (1985) Mechanical properties of rock joints. Int J Rock Mech Min Sci Geomech Abstr 22(5):313–321CrossRefGoogle Scholar
- Miller RP (1965) Engineering classification and index properties for intact rock. PhD Thesis, University of IllinoisGoogle Scholar
- Olsson R, Barton N (2001) An improved model for hydromechanical coupling during shearing of rock joints. Int J Rock Mech Min Sci 38:317–329CrossRefGoogle Scholar
- Patton FD (1966) Multiple modes of shear failure in rock. The 1st Congress of the International Society of Rock Mechanics, Lisbon, p 509–513Google Scholar
- Plesha ME (1987) Constitutive models for rock discontinuities with dilatancy and surface degradation. Int J Num Anal Methods Geomech 11:345–362CrossRefGoogle Scholar
- Qiu X, Plesha ME, Huang X, Haimson BC (1993) An investigation of the mechanics of rock joints-part II: analytical investigation. Int J Rock Mech Min Sci Geomech Abstr 30(3):271–287CrossRefGoogle Scholar
- Saeb S (1990) A variance on Ladanyi and Archambault’s shear strength criterion. In: Barton S (ed) Rock joints. Balkema, Rotterdam, pp 701–705Google Scholar
- Samadhiya NK, Viladkar MN, Al-Obaydi MA (2008) Three-dimensional joint/interface element for rough undulating major discontinuities in rock masses. Int J Geom 8(6):327–335CrossRefGoogle Scholar
- Wang JG, Ichikawa Y, Leung CF (2003) A constitutive model for rock interfaces and joints. Int J Rock Mech Min Sci 40:41–53CrossRefGoogle Scholar
- Wibowo J (1994) Effect of boundary conditions and surface damage on the shear behavior of rock joints: tests and analytical predictions. University of Colorado at Boulder, BoulderGoogle Scholar
- Wibowo J, Amadei B, Sture S, Price RH (1993) Effect of boundary conditions on the strength and deformability of replicas of natural fractures in welded tuff: data report. Sandia National Laboratories, Albuquerque, New MexicoGoogle Scholar
- Zubelewicz A, O’Connor K, Dowding CH, Belytschko T, Plesha ME (1987) A constitutive model for cyclic behavior of dilatant rock joints. 2nd international conference on constitutive laws for engineering materials, pp 1137–1144Google Scholar