Multiscale rotational mechanism of fracture propagation in geomaterials

References

• J. Fortin, S. Stanchits, G. Dresen and Y. Guéguen, J. Geophys. Res. 111(B10) (2006) p.B10203.10.1029/2005JB003854
   Google Scholar
• R. Katsman, E. Aharonov and B. Haimson, Acta Geotech. 4 (2009) p.151.10.1007/s11440-009-0086-3
   Web of Science ®Google Scholar
• D. Holcomb, J. Rudnicki, K. Issen and K.R. Sternlof, Acta Geotech. 2 (2007) p.1.10.1007/s11440-007-0027-y
   Web of Science ®Google Scholar
• Z. Reches and D.A. Lockner, J. Geophys. Res. 99B (1994) p.18159.10.1029/94JB00115
   Web of Science ®Google Scholar
• A.M. Puzrin and L.N. Germanovich, Proc. Royal Society: A 461 (2005) p.1199.10.1098/rspa.2004.1378
   Google Scholar
• K.R. Sternlof, J.W. Rudnicki and D.D. Pollard, J. Geophys. Res. 110(B11) (2005) p.B11403.10.1029/2005JB003764
   Google Scholar
• J.W. Rudnicki and K.R. Sternlof, Geophys. Res. Lett. 32 (2005) p.L16303.10.1029/2005GL023602
   Google Scholar
• D.A. Lockner, J.D. Byerlee, V. Kuksenko, A. Ponomarev and A. Sidorin, Observations of quasisistatic fault growth from acous tic emissions, in Fault Mechanics and Transport Properties of Rocks, B. Evans and T.-F. Wong, eds., Academic Press, London, 1992, p.3.10.1016/S0074-6142(08)62813-2
   Google Scholar
• H. Kawakata, A. Cho, T. Yanagidani and M. Shimada, Int. J. Rock Mech. Min. Sci. 34 (1997) p.3, paper No. 151.
   Web of Science ®Google Scholar
• L.N. Germanovich, R.L. Salganik, A.V. Dyskin and K.K. Lee, Pure Appl. Geophys. 143 (1994) p.117.10.1007/BF00874326
   Web of Science ®Google Scholar
• H. Fossen, R.A. Schultz and A. Torabi, J. Struct. Geol. 33 (2011) p.1477.10.1016/j.jsg.2011.08.001
   Web of Science ®Google Scholar
• A. Aydin and R. Ahmadov, Tectonophysics 479(3–4) (2009) p.277.10.1016/j.tecto.2009.08.033
   Web of Science ®Google Scholar
• C.M. Sangha, C.J. Talbot and R.K. Dhir, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 11 (1974) p.107.
   Web of Science ®Google Scholar
• E.Z. Lajtai, B.J. Carter and E.J.S. Duncan, Rock Mech. Rock Eng. 27 (1994) p.89.10.1007/BF01020207
   Web of Science ®Google Scholar
• H. Horii and S. Nemat-Nasser, J. Geophys. Res. 90(B4) (1985) p.3105.10.1029/JB090iB04p03105
   Web of Science ®Google Scholar
• A. Bobet and H.H. Einstein, Int. J. Rock Mech. Min. Sci. 35 (1998) p.863.10.1016/S0148-9062(98)00005-9
   Web of Science ®Google Scholar
• E. Eberhardt, D. Stead, B. Stimpson and R.S. Read, Can. Geotech. J. 35 (1998) p.222.10.1139/t97-091
   Web of Science ®Google Scholar
• A.N. Stavrogin and B.G. Tarasov, Experimental Physics and Rock Mechanics (Results of Laboratory Studies), A A Balkema, Lisse, 2001.
   Google Scholar
• C. Tang and J.A. Hudson, Rock Failure Mechanisms. Explained and Illustrated, CRC Press Taylor and Francic Group, Boca Raton, 2010.
   Google Scholar
• W. Nowacki, Theory of Micropolar Elasticity, Springer, Wien, 1970.10.1007/978-3-7091-2720-9
   Google Scholar
• L.A. Scipio, Principles of Continua with Applications, Wiley, New York, 1967.
   Google Scholar
• G.K. Batchelor, Annal. Rev. Fluid Mech. 6 (1974) p.227.10.1146/annurev.fl.06.010174.001303
   Web of Science ®Google Scholar
• S.C. Hunter, Mechanics of Continuous Media, Wiley, New York, 1976.
   Google Scholar
• D. Krajcinovic, Damage Mechanics, Elsevier, Amsterdam, 1996.
   Google Scholar
• A.V. Dyskin and E. Pasternak, Rotational mechanism of in-plane shear crack growth in rocks under compression, in Y. Potvin, J.Carter, A. Dyskin, R. Jeffrey, eds., Proceedings of 1st Southern Hemisphere International Rock Mechanics Symposium SHIRMS 2008, Australian Centre for Geomechanics, 2, 2008, p. 111.
   Google Scholar
• A.V. Dyskin and E. Pasternak, Cracks in Cosserat continuum – Macroscopic modelling, in Mechanics of Generalized Continua: One hundred years after the Cosserats, Springer series “Advances in Mechanics and Mathematics”, Vol. 21, G.A. Maugin and A.V. Metrikine, eds., Springer, New York, 2010, p.35.
   Google Scholar
• E. Pasternak and A.V. Dyskin, Intermediate asymptotics for scaling of stresses at the tip of crack in Cosserat continuum, in Proceedings of the 12th International Conference on Fracture ICF12, Ottawa. Paper T40.014, 2009.
   Google Scholar
• A.V. Dyskin and E. Pasternak, Energy criterion of in-plane fracture propagation in geomaterials with rotating particles, in Proceedings of IWBDG, paper 14-027 ( accepted 14 March 2014).
   Google Scholar
• E. Pasternak, A.V. Dyskin and Y. Estrin, Pure Appl. Geophys. 163 (2006) p.2011.10.1007/s00024-006-0110-6
   Web of Science ®Google Scholar
• A.V. Dyskin and E. Pasternak, Philos. Mag. 92 (2012) p.3451.10.1080/14786435.2012.704421
   Web of Science ®Google Scholar
• A.V. Dyskin and E. Pasternak, Mechanism of in-plane fracture growth in particulate materials based on relative particle rotations, in Proceedings of the 13th International Conference on Fracture, Paper S09-003, Beijing, China, 16–21 June 2013.
   Google Scholar
• E. Pasternak, H.-B. Mühlhaus and A.V. Dyskin, Pure Appl. Geophys. 161(9–10) (2004) p.2309.
   Google Scholar
• E. Pasternak and H.-B. Mühlhaus, J. Eng. Math. 52 (2005) p.199.10.1007/s10665-004-3950-z
   Web of Science ®Google Scholar
• E. Sternberg and R. Muki, Int. J. Solids Struct. 3 (1967) p.69.10.1016/0020-7683(67)90045-5
   Google Scholar
• V.A. Lubarda, Int. J. Solids Struct. 40 (2003) p.3807.10.1016/S0020-7683(03)00228-2
   Web of Science ®Google Scholar
• E. Radi, Int. J. Solids Struct. 45 (2008) p.3033.10.1016/j.ijsolstr.2008.01.010
   Web of Science ®Google Scholar
• A. Piccolroaz, G. Mishuris and E. Radi, Eng. Fract. Mech. 80 (2012) p.60.10.1016/j.engfracmech.2011.03.001
   Web of Science ®Google Scholar
• J.R. Rice, Mathematical analysis in the mechanics of fracture, in Fracture: An Advanced Treatise, Vol. II, Mathematical Fundamentals, H. Liebowitz, ed., Academic Press, London, 1968, p.191.
   Google Scholar
• N.F. Morozov, Mathematical Issues of the Crack Theory, Nauka, Moscow (in Russian), 1984.
   Google Scholar
• V. Kobelev, Meccanica 41 (2006) p.653.10.1007/s11012-006-9010-1
   Web of Science ®Google Scholar
• A.V. Dyskin, Int. J. Fract. 83 (1997) p.191.10.1023/A:1007304015524
   Web of Science ®Google Scholar
• H.-B. Mühlhaus and E. Pasternak, Int. J. Fract. 113 (2002) p.21.10.1023/A:1022680130245
   Google Scholar
• V.A. Lubarda and X. Markenscoff, Philos. Mag. 83 (2003) p.1365.10.1080/1478643031000072491
   Web of Science ®Google Scholar
• E. Pasternak, A.V. Dyskin and H.-B. Mühlhaus, Int. J. Fract. 140 (2006) p.189.10.1007/s10704-006-0077-4
   Web of Science ®Google Scholar
• R.D. Mindlin and H.F. Tiersten, Arch. Ration. Mech. Anal. 11 (1962) p.415.10.1007/BF00253946
   Web of Science ®Google Scholar
• G.C. Sih and H. Liebowitz, Mathematical theories of brittle fracture, in Fracture: An Advanced Treatise, 2, Mathematical Fundamentals, H. Liebowitz, ed., Academic Press, New York, 1968, p.68.
   Google Scholar
• B. Cotterell and J.R. Rice, Int. J. Fract. 16(2) (1980) p.155.10.1007/BF00012619
   Web of Science ®Google Scholar
• V.M. Entov and V.I. Yagust, Mech. Solids 2 (1975) p.154.
   Google Scholar
• D. Amitrano and J. Schmittbuhl, J. Geophys. Res. [Solid Earth] (1978–2012) 107(B12) (2002) p.ESE 19-1.
   Web of Science ®Google Scholar
• H. Tada, P.C. Paris and G.R. Irwin, The Stress Analysis of Cracks handbook, ASME Press, New York, 2000.10.1115/1.801535
   Google Scholar
• B. Cotterell and J.R. Rice, Int. J. Fract. 16 (1980) p.155.10.1007/BF00012619
   Web of Science ®Google Scholar
• J.A. Hodgdon and J.P. Sethna, Phys. Rev. B (1993) p.4831.10.1103/PhysRevB.47.4831
   PubMed Web of Science ®Google Scholar