A mobilized dilation angle model for rocks

Abstract Experimental and field observations of rock failure show that the failure process is closely associated with rock dilation, an indicator of volumetric increase during rock deformation. The most common concept used to describe dilation is the dilation angle. The conventional Mohr–Coulomb model considering strain-softening often makes an assumption of constant dilation, but it is observed that the approach is not successful in characterizing the nonlinear deformation behavior of rocks. In the present study, based on published data acquired from modified triaxial compression tests with volumetric strain measurement, a mobilized dilation angle model considering the influence of both confining stress and plastic shear strain is established. Based on the model response and in combination with the grain size description and the uniaxial compressive strength, the model parameters for four rock types (coarse-grained hard rock, medium-grained hard rock, fine-medium-grained soft rock, and fine-grained soft rock) are suggested. For coal and quartzite representing fine-grained soft rock, and coarse-grained hard rock, respectively, the dilation angle model is used to predict the volumetric-axial strain relationships, and the predictions are found to be in good agreement with experimental results.

[1]  Leslie George Tham,et al.  Numerical studies of the influence of microstructure on rock failure in uniaxial compression — Part I: effect of heterogeneity , 2000 .

[2]  R. Hill The mathematical theory of plasticity , 1950 .

[3]  W. Brace Volume changes during fracture and frictional sliding: A review , 1978 .

[4]  N. Cook An experiment proving that dilatancy is a pervasive volumetric property of brittle rock loaded to failure , 1970 .

[5]  W. R. Wawersik,et al.  Post-failure behavior of a granite and diabase , 1971 .

[6]  Steven L. Crouch,et al.  Experimental determination of volumetric strains in failed rock , 1970 .

[7]  J. Harrison,et al.  An empirical dilatancy index for the dilatant deformation of rock , 2004 .

[8]  A. B. Singh Study of Rock Fracture by Permeability Method , 1997 .

[9]  R. Yoshinaka,et al.  Non-linear, stress- and strain-dependent behavior of soft rocks under cyclic triaxial conditions , 1997 .

[10]  Alison Ord,et al.  Deformation of rock: A pressure-sensitive, dilatant material , 1991 .

[11]  D. Holcomb A quantitative model of dilatancy in dry rock and its application to westerly granite , 1978 .

[12]  Pierre Bésuelle,et al.  Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell , 2000 .

[13]  Ming Cai,et al.  Influence of stress path on tunnel excavation response – Numerical tool selection and modeling strategy , 2008 .

[14]  E. Alonso,et al.  Considerations of the dilatancy angle in rocks and rock masses , 2005 .

[15]  W. R. Wawersik,et al.  A study of brittle rock fracture in laboratory compression experiments , 1970 .

[16]  J. P. Harrison,et al.  Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions , 2002 .

[17]  E. Möbius,et al.  Charge states of energetic (≈0.5 MeV/n) ions in corotating interaction regions at 1 AU and implications on source populations , 2002 .

[18]  J. B. Martino,et al.  Observations of brittle failure around a circular test tunnel , 1997 .

[19]  Christopher H. Scholz,et al.  Microfracturing and the inelastic deformation of rock in compression , 1968 .

[20]  P. K. Kaiser,et al.  Determination of residual strength parameters of jointed rock masses using the GSI system , 2007 .

[21]  Further development of a plasticity approach to yield in porous rock , 1986 .

[22]  R. Borst,et al.  Non-Associated Plasticity for Soils, Concrete and Rock , 1984 .

[23]  R. N. Schock,et al.  Stress‐strain behavior of a granodiorite and two graywackes on compression to 20 kilobars , 1973 .

[24]  Evert Hoek,et al.  HOEK-BROWN FAILURE CRITERION - 2002 EDITION , 2002 .

[25]  Diederichs,et al.  Underground Works In Hard Rock Tunnelling And Mining , 2000 .

[26]  Ming Cai,et al.  Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations , 2004 .

[27]  I. Lee,et al.  Computer controlled volumetric strain measurements in metadolerite , 1985 .

[28]  D. Holcomb,et al.  Damage in brittle materials: experimental methods , 1986 .

[29]  H. Koide,et al.  Effect of the Intermediate Principal Stress On Strength And Deformation Behavior of Sedimentary Rocks At the Depth Shallower Than 2000 M , 1989 .

[30]  C. Fairhurst,et al.  Determination of the post-failure behavior of brittle rock using a servo-controlled testing machine , 1970 .

[31]  Evert Hoek,et al.  Practical estimates of rock mass strength , 1997 .

[32]  N. Barton,et al.  The shear strength of rock joints in theory and practice , 1977 .

[33]  Bezalel C. Haimson,et al.  A new true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite , 2000 .

[34]  E. Z. Lajtai,et al.  The evolution of brittle fracture in rocks , 1974, Journal of the Geological Society.

[35]  I. Main,et al.  Influence of confining pressure on the mechanical and structural evolution of laboratory deformation bands , 2002 .

[36]  W. R. Wawersik Technique and apparatus for strain measurements on rock in constant confining pressure experiments , 1975 .

[37]  Kiyoo Mogi,et al.  DILATANCY OF ROCKS UNDER GENERAL TRIAXIAL STRESS STATES WITH SPECIAL REFERENCE TO EARTHQUAKE PRECURSORS , 1977 .

[38]  P. K. Kaiser,et al.  Quantification of rock mass damage in underground excavations from microseismic event monitoring , 2001 .

[39]  M. Kwaśniewski,et al.  Volume changes in sandstone under true triaxial compression conditions , 2003 .

[40]  C. Martin,et al.  The strength of massive Lac du Bonnet granite around underground openings , 1993 .

[41]  E. T. Brown,et al.  A study of the mechanical behaviour of coal for pillar design , 1998 .

[42]  Z. T. Bieniawski,et al.  Mechanism of brittle fracture of rockPart Itheory of the fracture process , 1967 .

[43]  N. A. Chandler,et al.  The progressive fracture of Lac du Bonnet granite , 1994 .

[44]  C. Martin,et al.  Seventeenth Canadian Geotechnical Colloquium: The effect of cohesion loss and stress path on brittle rock strength , 1997 .

[45]  Stability in underground mining II , 1984 .

[46]  B. Stimpson,et al.  Identifying crack initiation and propagation thresholds in brittle rock , 1998 .

[47]  C. Scholz,et al.  Dilatancy in the fracture of crystalline rocks , 1966 .

[48]  F. Varas,et al.  Ground response curves for rock masses exhibiting strain‐softening behaviour , 2003 .

[49]  N. Barton,et al.  FUNDAMENTALS OF ROCK JOINT DEFORMATION , 1983 .

[50]  Ian W. Farmer,et al.  Engineering Behaviour of Rocks , 1983 .

[51]  Emmanuel M Detournay,et al.  Elastoplastic model of a deep tunnel for a rock with variable dilatancy , 1986 .

[52]  Terrence Paul Medhurst Estimation of the in situ strength and deformability of coal for engineering design , 1996 .

[53]  M. Cai,et al.  Influence of intermediate principal stress on rock fracturing and strength near excavation boundaries : Insight from numerical modeling , 2008 .