Rock fracture toughness study using cracked chevron notched Brazilian disc specimen under pure modes I and II loading – A statistical approach

Ouchterlony, 1988, ISRM suggested methods for determining fracture toughness of rocks, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25, 71, 10.1016/0148-9062(88)91871-2

Fowell, 1995, Suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc (CCNBD) specimens, vol. 321, 57

M.D. Kuruppu, Y. Obara, M.R. Ayatollahi, K.P. Chong, T. Funatsu, ISRM-suggested method for determining the mode I static fracture toughness using semi-circular bend specimen. Rock Mech. Rock Eng. (2013), http://dx.doi.org/10.1007/s00603-013-0422-7.

Mostafavi, 2013, Observation and quantification of three-dimensional crack propagation in poly-granular graphite, Eng. Fract. Mech., 110, 410, 10.1016/j.engfracmech.2012.11.023

Mostafavi, 2013, Flexural strength and defect behaviour of polygranular graphite under different states of stress, Carbon, 59, 325, 10.1016/j.carbon.2013.03.025

Mostafavi, 2013, Three-dimensional crack observation, quantification and simulation in a quasi-brittle material, Acta Mater., 61, 6276, 10.1016/j.actamat.2013.07.011

Chang, 2002, Measurement of rock fracture toughness under modes I and II and mixed-mode conditions by using disc-type specimens, Eng. Geol., 66, 79, 10.1016/S0013-7952(02)00033-9

Aliha, 2006, Mode I and mode II fracture toughness testing for a coarse grain marble, Appl. Mech. Mater., 5, 181, 10.4028/www.scientific.net/AMM.5-6.181

Khan, 2000, Effect of specimen geometry and testing method on mixed mode I–II fracture toughness of a limestone rock from Saudi Arabia, Rock Mech. Rock Eng., 33, 179, 10.1007/s006030070006

Ingraffea, 1984, A short-rod based system for fracture toughness testing of rock, ASTM STP, 855, 152

Nasseri, 2010, Fracture toughness and fracture roughness in anisotropic granitic rocks, Rock Mech. Rock Eng., 43, 403, 10.1007/s00603-009-0071-z

Dai, 2011, Determination of dynamic rock mode-I fracture parameters using cracked chevron notched semi-circular bend specimen, Eng. Fract. Mech., 78, 2633, 10.1016/j.engfracmech.2011.06.022

Y.D. Zhou, X. Tang, T. Hou, L. Tham, Fracture toughness measurement of marble specimens from Maon Shan, Hong Kong by Chevron-notched bend test: some discussions based on nonlinear fracture mechanics approach, in: ISRM International Symposium-6th Asian Rock Mechanics Symposium, 2010.

Zhou, 2009, Rate dependent critical strain energy density factor of Huanglong limestone, Theor. Appl. Fract. Mech., 51, 57, 10.1016/j.tafmec.2009.01.001

Berto, 2011, Fracture assessment of Brazilian disc specimens weakened by blunt V-notches under mixed mode loading by means of local energy, Mater. Des., 32, 2858, 10.1016/j.matdes.2010.12.034

Ayatollahi, 2011, Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite, Carbon, 49, 2465, 10.1016/j.carbon.2011.02.015

Torabi, 2012, Comprehensive data for rapid calculation of notch stress intensity factors in U-notched Brazilian disc specimen under tensile–shear loading, Mater. Sci. Eng.: A, 541, 135, 10.1016/j.msea.2012.02.014

Ghazvinian, 2013, Mixed mode crack propagation in low brittle rock-like materials, Arab. J. Geosci., 6, 4435, 10.1007/s12517-012-0681-8

Erarslan, 2013, Mixed-mode fracturing of rocks under static and cyclic loading, Rock Mech. Rock Eng., 46, 1035, 10.1007/s00603-012-0303-5

Berto, 2012, Brittle fracture of U-notched graphite plates under mixed mode loading, Mater. Des., 41, 421, 10.1016/j.matdes.2012.05.022

N. Erarslan, H. Alehossein, D.J. Williams, Tensile fracture strength of brisbane tuff by static and cyclic loading tests, Rock Mech. Rock Eng. (2013), http://dx.doi.org/10.1007/s00603-013-0469-5.

Abd-Elhady, 2013, Mixed mode I/II stress intensity factors through the thickness of disc type specimens, Eng. Solid Mech., 1, 119, 10.5267/j.esm.2013.10.001

Mirsayar, 2013, Calculation of stress intensity factors for an interfacial notch of a bi-material joint using photoelasticity, Eng. Solid Mech., 1, 49, 10.5267/j.esm.2013.09.006

Mirsayar, 2013, Photoelastic study of bi-material notches: effect of mismatch parameters, Eng. Solid Mech., 1, 21, 10.5267/j.esm.2013.06.001

M.R.M. Aliha, Indirect tensile test assessments for rock materials using 3-D disc-type specimens, Arab. J. Geosci. (2013), http://dx.doi.org/10.1007/s12517-013-8.

Li, 2013, The Brazilian disc test for rock mechanics applications: review and new insights, Rock Mech. Rock Eng., 46, 269, 10.1007/s00603-012-0257-7

Ghazvinian, 2013, Mechanical response of discontinuities of different joint wall contact strengths, Arab. J. Geosci., 6, 4419, 10.1007/s12517-012-0683-6

Ayatollahi, 2007, Wide range data for crack tip parameters in two disc-type specimens under mixed mode loading, Comput. Mater. Sci., 38, 660, 10.1016/j.commatsci.2006.04.008

Atkinson, 1982, Combined mode fracture via the cracked Brazilian disk test, Int. J. Fract., 18, 279, 10.1007/BF00015688

Kotousov, 2012, Three dimensional finite element mixed fracture mode under anti-plane loading of a crack, Theor. Appl. Fract. Mech., 62, 26, 10.1016/j.tafmec.2013.01.003

Aliha, 2013, The effects of thickness and Poisson’s ratio on 3D mixed-mode fracture, Eng. Fract. Mech., 98, 15, 10.1016/j.engfracmech.2012.11.003

Harding, 2010, Transverse singular effects in V-shaped notches stressed in mode II, Int. J. Fract., 164, 1, 10.1007/s10704-010-9449-x

Kotousov, 2010, Effect of the thickness on elastic deformation and quasi-brittle fracture of plate components, Eng. Fract. Mech., 77, 1665, 10.1016/j.engfracmech.2010.04.008

Berto, 2011, Out-of-plane singular stress fields in V-notched plates and welded lap joints induced by in-plane shear load conditions, Fatigue Fract. Eng. Mater. Struct., 34, 291, 10.1111/j.1460-2695.2010.01518.x

Xeidakis, 1997, Trajectories of unstably growing cracks in mixed mode I–II loading of marble beams, Rock Mech. Rock Eng., 30, 19, 10.1007/BF01020111

Whittaker, 1992

Erdogan, 1963, On the crack extension in plates under plane loading and transverse shear, J. Basic Eng. Trans. ASME, 85, 519, 10.1115/1.3656897

Sih, 1974, Strain-energy-density factor applied to mixed mode crack problems, Int. J. Fract., 10, 305, 10.1007/BF00035493

Hussain, 1974

Gómez, 2009, Fracture of U-notched specimens under mixed mode: experimental results and numerical predictions, Eng. Fract. Mech., 76, 236, 10.1016/j.engfracmech.2008.10.001

Smith, 2001, The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading, Fatigue Fract. Eng. Mater. Struct., 24, 137, 10.1046/j.1460-2695.2001.00377.x

Aliha, 2008, Brittle fracture analysis using a ring-shape specimen containing two angled cracks, Int. J. Fract., 153, 63, 10.1007/s10704-008-9280-9

Ayatollahi, 2007, Fracture toughness study for a brittle rock subjected to mixed mode I/II loading, Int. J. Rock Mech. Min. Sci., 44, 617, 10.1016/j.ijrmms.2006.10.001

Ayatollahi, 2009, Mixed mode fracture in soda lime glass analyzed by using the generalized MTS criterion, Int. J. Solid. Struct., 46, 311, 10.1016/j.ijsolstr.2008.08.035

Ayatollahi, 2008, Mixed mode fracture analysis of polycrystalline graphite – a modified MTS criterion, Carbon, 46, 1302, 10.1016/j.carbon.2008.05.008

Aliha, 2012, Typical upper bound–lower bound mixed mode fracture resistance envelopes for rock material, Rock Mech. Rock Eng., 45, 65, 10.1007/s00603-011-0167-0

Aliha, 2010, Geometry effects on fracture behaviour of polymethyl methacrylate, Mater. Sci. Eng. A, 527, 526, 10.1016/j.msea.2009.08.055

Ayatollahi, 2011, An improved semi-circular bend specimen for investigating mixed mode brittle fracture, Eng. Fract. Mech., 78, 110, 10.1016/j.engfracmech.2010.10.001

R.A. Schmidt, A microcrack model and its significance to hydraulic fracturing and fracture toughness testing, in: The 21st US Symposium on Rock Mechanics (USRMS), 1980.

Schmidt, 1976, Fracture-toughness testing of limestone, Exp. Mech., 16, 161, 10.1007/BF02327993

Labuz, 1987, The fracture process zone in granite: evidence and effect, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 24, 235, 10.1016/0148-9062(87)90178-1

Wallin, 1984, The scatter in KIC-results, Eng. Fract. Mech., 19, 1085, 10.1016/0013-7944(84)90153-X

Weibull, 1951, A statistical distribution function of wide applicability, J. Appl. Mech., 18, 293, 10.1115/1.4010337

H. Fowler, D.J. Smith, K. Bell, Scatter in cleavage fracture toughness following proof loading. Advances in fracture research, in: Proc. 9th International Conference on Fracture, ICF 9, vol. 5, 1997, pp. 2519–2526.

Hadidimoud, 2002, Predicting how crack tip residual stresses influence brittle fracture, Pres. Ves. Pip., 434, 111