Investigation into size and strain rate effects on the strength of rock-like materials

Bazant, 2009, Universal size effect law and effect of crack depth on quasi-brittle structure strength, J Eng Mech, 135, 78, 10.1061/(ASCE)0733-9399(2009)135:2(78) Weibull, 1939, A statistical theory of the strength of materials, Proc R Swed Acad Eng Sci, 151, 1 Weibull, 1951, A statistical distribution function of wide applicability, J Appl Mech, 18, 293, 10.1115/1.4010337 Bazant, 1984, Size effect in blunt fracture: concrete, rock, cracks, J Eng Mech, 110, 518, 10.1061/(ASCE)0733-9399(1984)110:4(518) Bazant, 2002, Concrete fracture models: testing and practice, Eng Fract Mech, 69, 165, 10.1016/S0013-7944(01)00084-4 Bazant, 2007, Asymptotic prediction of energetic-statistical size effect from deterministic finite- element solution, J Eng Mech, 133, 153, 10.1061/(ASCE)0733-9399(2007)133:2(153) Hu, 2008, Size effect and quasibrittle fracture: the role of FPZ, Int J Fract, 154, 3, 10.1007/s10704-008-9290-7 Morel, 2008, Size effect in quasibrittle fracture: derivation of the energetic size effect law from equivalent LEFM and asymptotic analysis, Int J Fract, 154, 15, 10.1007/s10704-008-9291-6 Grady, 1977, Strain rate dependence in dolomite inferred from impact and static compression rests, J Geophys Res, 82, 1325, 10.1029/JB082i008p01325 Grady, 1996, Shock wave properties of brittle solids, 9 Attewell, 1963, Dynamic fracturing of Rocks, Parts I, II, III, Colliery Eng, 203–210, 289 Rinehart JS. Dynamic fracture strength of rock. In: Proceeding of 7th Symposium on Rock Mechanics. ALME; 1965:205–208. Kumar, 1968, The effect of stress rate and temperature on the strength of basalt and granite, Geophysics, 33, 501, 10.1190/1.1439947 Lindholm, 1974, The dynamic strength and fracture properties of dresser basalt, Int J Rock Mech Min Sci, 11, 181, 10.1016/0148-9062(74)90885-7 Kipp, 1980, Strain-rate dependent fracture initiation, Int J Fract, 16, 471, 10.1007/BF00016585 Lankford J. The role of subcritical microfracture process in compressive failure of ceramics. In: Fracture Mechanics of Ceramics. New York: Plenum Press; 1983:5, 45–54. Rosenberg, 1968, Elastic precursor decay in ceramics as determined with manganin strain gauges, J Phys Fr Colloq, 49, 853 Meyers, 1994 Perzyna P. Constitutive modeling of dissipative solid for localization and fracture. In: Localization And Fracture Phenomena In Inelastic Solids. New York: Springer;1998:99–241. Cho, 2003, Strain-rate dependency of the dynamic tensile strength of rock, Int J Rock Mech Min Sci, 40, 763, 10.1016/S1365-1609(03)00072-8 Field, 2004, Review of experimental techniques for high rate deformation and shock studies, Int J Impact Eng, 30, 725, 10.1016/j.ijimpeng.2004.03.005 Li, 2003, About the dynamic strength enhancement of concrete-like materials in a split Hopkinson pressure bar test, Int J Solids Struct, 40, 343, 10.1016/S0020-7683(02)00526-7 Asprone, 2009, Dynamic behavior of a Mediterranean natural stone under tensile loading, Int J Rock Mech Min Sci, 46, 514, 10.1016/j.ijrmms.2008.09.010 Zhang, 2013, Determination of mechanical properties and full-field strain measurements of rock material under dynamic loads, Int J Rock Mech Min Sci, 60, 423, 10.1016/j.ijrmms.2013.01.005 Qi, 2009, Strain rate effects on the strength and fragmentation size of rocks, Int J Impact Eng, 36, 1355, 10.1016/j.ijimpeng.2009.04.008 Radionov, 1986 Sherman, 1992 Landau, 1959 Hong, 2008, Study on size effect of rock dynamic strength and strain rate sensitivity, Chin J Rock Mech Eng, 27, 526 Ožbolt, 2006, Influence of loading rate on concrete cone failure, Int J Fract, 139, 239, 10.1007/s10704-006-0041-3 Qi, 2014, Mechanism underlying dynamic size effect on rock mass strength, Int J Impact Eng, 68, 1, 10.1016/j.ijimpeng.2014.01.005 Finberg, 1997, Micro-branching as an instability in dynamic fracture, 177 Bouchbinder, 2010, Weakly nonlinear fracture mechanics: experiments and theory, Int J Fract, 162, 3, 10.1007/s10704-009-9427-3 Wright, 2003, Dynamic void nucleation and growth in solids: a self-consistent statistical theory, J Mech Phys Solids, 56, 399 Bieniawski, 1967, Mechanism of brittle fracture of rock: (part I): theory of fracture process, Int J Rock Mech Min Sci Geomech Abstr, 4, 395, 10.1016/0148-9062(67)90030-7 Lawn, 1975 Anderson, 1977, Stress corrosion theory of crack propagation with application to geophysics, Rev Geophys Space Phys, 15, 77, 10.1029/RG015i001p00077 Atkinson, 1984, Subcritical crack growth in geological materials, J Geophys Res, 89, 4077, 10.1029/JB089iB06p04077 Atkinson B, Meredith P. The theory of subcritical crack growth with application to minerals and rocks. In: Atkinson B, eds. Fracture Mechanics of Rock. New York:Academy Press;1987:111–166. Krausz, 1988 Petrov, 1984, Durability of solids under low loads, nonfracturing stresses, Phys Solid State, 26, 2116 Mott, 1948, Brittle fracture in mild steel plates, Engineering, 165, 16 Roberts, 1954, The speed of brittle fracture, Engineering, 24, 820 Dulaney, 1960, Speed behavior of a growing crack, J Appl Phys, 31, 2233, 10.1063/1.1735529 Finkel, 1962, Investigation on crack growth under dynamic fracture of glass, Phys Solid State, 4, 1412 Steverding, 1970, Response of cracks to impact, J Appl Phys, 41, 2096, 10.1063/1.1659170 Freund, 1990, Observations on high strain rate crack growth based on a strip yield model, Int J Fract, 42, 261, 10.1007/BF00013217 Field, 1971, Brittle fracture: its study and application, Comtemp Phys, 12, 1, 10.1080/00107517108205103 Broberg, 1999 Fineberg, 1999, Instability in dynamic fracture, Phys Rep, 313, 1, 10.1016/S0370-1573(98)00085-4 Chekunaev, 2009, Limiting speed of crack propagation in elastic materials, J Appl Mech Tech Phys, 50, 677, 10.1007/s10808-009-0091-1 Yavari, 2010, Estimating terminal speed of rough cracks in the framework of discrete fractal fracture mechanics, Eng Fract Mech, 77, 1516, 10.1016/j.engfracmech.2010.04.005 Rosakis, 1999, Cracks faster than the shear wave speed, Science, 284, 1337, 10.1126/science.284.5418.1337 Eibl, 1999, Strain–rate–sensitive constitutive law for concrete, J Eng Mech, 125, 1403, 10.1061/(ASCE)0733-9399(1999)125:12(1411) Kurlenia, 1996, Scale factor of phenomenon of zonal disintegration of rock and canonical series of atomic and ionic radii, J Min Sci, 32, 81, 10.1007/BF02046676 Tyapkin, 1982 Housen, 1999, Scale effects in strength-dominated collisions of rocky asteroids, Icarus, 142, 21, 10.1006/icar.1999.6206 Hadley, 1976, Comparison of computed and observed crack densities and seismic velocities in Westerly granite, J Geophys Res, 81, 3484, 10.1029/JB081i020p03484 Lockner, 1992, Microcrack interaction leading to shear failure, 807 Moore, 1995, The role of microcracking in shear fracture propagation in granite, J Struct Geol, 17, 95, 10.1016/0191-8141(94)E0018-T Rouleau, 1985, Statistical characterization of the fracture system in the Stripa granite, Int J Rock Mech Min Sci Geomech Abstr, 22, 353, 10.1016/0148-9062(85)90001-4 Piggot, 1997, Fractal relations for the diameter and trace length of disc-shaped fractures, J Geophys Res, 102, 18121, 10.1029/97JB01202 Scholz, 1993, Fault growth and scaling laws: preliminary results, J Geophys Res, 98, 21951, 10.1029/93JB01008 Barton, 1995, Fractal analysis of scaling and spatial clustering of fractures, 141 Rahiman, 2009, Fracture lineaments, fault mesh formation and seismicity: towards a seismotectonic model for Viti Levu, Fiji, Bull NZ Soc Earth Eng, 42, 63 Shibi T, Kamei T. Investigation of the mechanism of fault formation using bifurcation analysis, In: Proceedings of the Eighteenth International Offshore and Polar Engineering Conference. Vancouver, Canada, July 6–11;2008:654–659. Sherman, 2012, Destruction of the lithosphere: fault-block divisibility and its tectonophysical regularities, Geophys Tectonophys, 3, 315, 10.5800/GT-2012-3-4-0077 Kurlenia, 1993, On relation between linear sizes of rock blocks and opening of cracks in structural hierarchy of rock mass, J Min Sci, 27, 3