Numerical simulation of triaxial compression test for brittle rock sample using a modified constitutive law considering degradation and dilation behavior

OFOEGBU G I, CURRAN J H. Deformability of intact rock [J]. Int J Rock Mech Min Sci Geomech Abstr, 1992, 29(1): 35–48.

KRAJCINOVIC D, FONSEKA G U. The continuous damage theory of brittle materials—Part 1: general theory [J]. J Appl Mech Trans ASME, 1981, 48: 809–815.

COSTIN L S. Damage mechanics in the post-failure regime [J]. Mech Mater, 1985, 4: 149–160.

BASISTA M, GROSS D. The sliding crack model of brittle deformation: An internal variable approach [J]. Int J Solids Struct, 1998, 35(5/6): 487–509.

YUAN S C, HARRISON J P. A review of the state of the art in modelling progressive mechanical breakdown and associated fluid flow in intact heterogeneous rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(7): 1001–1022.

MARTIN C D, CHANDLER N A. The progressive fracture of Lac du Bonnet granite [J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1994, 31(6): 643–659.

HAJIABDOLMAJID V, KAISERAR P K, MARTIN C D. Modelling brittle failure of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(6): 731–741.

FANG Z, HARRISON J P. A mechanical degradation index for rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(8): 1193–1199.

FANG Z, HARRISON J P. Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(4): 443–457.

FANG Z, HARRISON J P. Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(4): 459–476.

YUAN S C, HARRISON J P. An empirical dilatancy index for the dilatant deformation of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(4): 679–686.

ZHAO X G, CAI M. A mobilized dilation angle model for rocks [J]. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(3): 368–384.

HOEK E, CARRANZA-TORRES C, CORKUM B. Hoek-Brown criterion-2002 edition [C]// Proc NARMS-TAC Conference. Toronto, 2002, 1: 267–273.

ANDREEV G E. Brittle failure of rock materials: Test results and constitutive models [M]. (1st ed) Rotterdam: Taylor & Francis, 1995.

HUDSON J A, HARRISON J P. Engineering rock mechanics—An introduction to the principles [M]. (4th ed) Amsterdam: Elsevier Ltd, 2005.

BRADY B H G, BROWN E T. Rock mechanics for underground mining [M]. (2nd ed) London: Chapman & Hall, 1992.

KARSTUNEN M, PANDE G N, DESRUES J. Strain localisation and rotation of principal stress axis in biaxial test [C]// Proc 9th Conference of Computer Methods and Advances in Geomechanics. Wuhan, 1997.

ALONSO E, ALEJANO L R, VARAS F, FDEZ-MANIN G, CARRANZA-TORRES C. Ground response curves for rock masses exhibiting strain-softening behavior [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2003, 27(13): 1153–1185.

Itasca Consulting Group, Inc. FLAC3D fast lagrangian analysis of continua in 3 dimensions-theory and background [M]. Minneapolis: Itasca Consulting Group Inc, 2006.

LADANYI B, ARCHAMBAULT G. Simulation of shear behaviour of a jointed rock mass [C]// The 11 th U.S. Symposium on Rock Mechanics. Berkeley: American Rock Mechanics Association, 1969.

CHEN S, YUE Z Q, THAM L G. Digital image-based numerical modeling method for prediction of inhomogeneous rock failure [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 41(6): 939–957.

CHEN Sha, YUE Zhong-qi, THAM L G. Actual mesostructure based three-dimensinal numerical modeling, method for heterogeneous geomaterials [J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(10): 1951–1959. (in Chinese)

WEIBULL W A. Statistical distribution function of wide applicability [J]. Journal of Applied Mechanics, 1954, 18: 293–297.

BLAIR S C, COOK N G W. Analysis of compressive fracture in rock using statistical techniques: Part I. A non-linear rule—based model [J]. Int J Rock Mech Min Sci, 1998, 35: 837–848.

CAO Wen-gui, ZHAO Ming-hua, LIU Cheng-xue. Study on the model and its modifying method for rock softening and damage based on Weibull random distribution [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(19): 3226–3231. (in Chinese)

LIU H, ROQUETE M, KOU S Q, LINDQVIST P A. Characterization of rock heterogeneity and numerical verification [J]. Engineering Geology, 2004, 72(1/2): 89–119.

FENG X T, PAN P Z, ZHOU H. Simulation of the rock micro-fracturing process under uniaxial compression using an elasto-plastic cellular automaton [J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(7): 1091–1108.

HUET C. An integrated micromechanics and statistical continuum thermodynamics approach for studying the fracture behavior of microcracked heterogeneous materials with delayed response [J]. Engineering Fracture Mechanics, 1997, 58(5/6): 459–556.

TAN X, KONIETZKY H. Laboratory observation and numerical simulation of permeability evolution during progressive failure of brittle rocks [J]. International Journal of Rock Mechanics & Mining Sciences, 2014, 68: 167–176.