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Multidisciplinary Approach to Earthquake Prediction pp 487–521Cite as

Fracture Mechanics Modelling of Earthquake Generating Processes

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Part of the book series: Progress in Earthquake Prediction Research ((PERE,volume 2))

Abstract

A review is given of some examples of Fracture Mechanics modelling of fracture and friction processes in earthquake source regions. Examples of possible theoretical approaches are preceded by an outline of Fracture Mechanics principles. Experimental determinations of Fracture Mechanics parameters are discussed and examples of some results are tabulated. Also dealt with are the interrelationships between micro-seismic emissions and Fracture Mechanics parameters. Some limitations of the Fracture Mechanics approach to earthquake modelling are noted and important future developments in experimental work are outlined.

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References

  • Anderson, 0.L. and Grew, P.C. (1977) Stress corrosion theory of crack propagation with application to geophysics. Rev. Geophysics. Space Physics 15, 77–104.

    Google Scholar 

  • Atkinson, B.K. (1979a) Fracture toughness of Tennessee Sandstone and Carrara Marble using the double torsion testing method. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 16, 49–53.

    Google Scholar 

  • Atkinson, B.K. (1979b) A Fracture Mechanics Study of subcritical tensile cracking of quartz in wet environments. Pure and Applied Geophysics 117, 1011–1024.

    Article  Google Scholar 

  • Atkinson, B.K. (1980) Stress corrosion and the rate-dependent tensile failure of a fine-grained quartz rock Tectonophysics 64 (in press)

    Google Scholar 

  • Atkinson, B.K. and Avdis, V. (1980) Fracture Mechanics parameters of some rock-forming minerals determined using an indentation technique. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. (in press).

    Google Scholar 

  • Atkinson, B.K. and Rawlings, R.D. (1979a) Acoustic emission characteristics of subcritical and fast tensile cracking in rock. Proc. Institute of Acoustics (London) (in press)

    Google Scholar 

  • Atkinson, B.K. and Rawlings R.D. (1979b) Acoustic emission during subcritical and fast tensile cracking of

    Google Scholar 

  • Westerley Granite and a Gabbro. EOS, Transactions American Geophysical Union, 60, 740.

    Google Scholar 

  • Atkinson, B.K., Rutter, E.H., Sibson, R.H. and White, S.H. (1979) Some specific experimental and field studies pertaining directly to the mechanisms of seismic and aseismic faulting. Final technical report for FY1979 to US National Earthquake Hazards Reduction Program. Contract No: 14–08–0001–17662.

    Google Scholar 

  • Barenblatt, G.I. (1962) Mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 7, 55–129.

    Article  Google Scholar 

  • Barker, L.M. (1978) Short rod Kic measurements of Al203. In Bradt, R.C., Hasselman, D.P.H. and Lange, F.F. (eds.) Fracture Mechanics of Ceramics v3, 483–494. Plenum Press, New York.

    Google Scholar 

  • Bonafede, M., Fazio, D., Mulargia, F. and Boschi, E. (1976) Stress corrosion theory of crack propagation applied to the earthquake mechanism. A possible basis to explain the occurrence of two or more large seismic shocks in a geologically short time interval. Bolletino di Geofisica, teorica ed applicata, XIX, 377–403.

    Google Scholar 

  • Brace, W.F. and Walsh, J.B. (1962) Some direct measurements of the surface energy of quartz and orthoclase. Am.. Mineralogist 47, 1111–1122.

    Google Scholar 

  • Charles, R.J. (1958) Dynamic fatigue of glass. J. Applied Physics 29, 1657–1662.

    Article  Google Scholar 

  • Clifton, R.J., Simonson, E.R., Jones, A.H. and Green, S.J. (1976) Determination of the critical-stress-intensity factor KIc from internally pressurized thick-walled vessels. Experimental Mechanics 16, 233–238.

    Article  Google Scholar 

  • Dalgleish, B.J., Fakhr, A., Pratt, P.L. and Rawlings, R.D. (1980) Fracture toughness testing of ceramics and acoustic emission. J. Materials Science (in press).

    Google Scholar 

  • Dieterich, J.H. (1978) Time-dependent friction and the mechanics of stick-slip. Pure and Applied Geophysics 116, 790–806.

    Article  Google Scholar 

  • Dieterich, J.H. (1979) Modelling of rock friction, part I: experimental results and constitutive equations. J. Geophysical Res. 84, 2161–2168.

    Article  Google Scholar 

  • Dugdale, D.S. (1960) Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104.

    Google Scholar 

  • Evans, A.G. (1972) A method for evaluating the time-dependent failure characteristics of brittle materials -and its application to polycrystalline alumina–J. Materials Science 7, 1137–1146.

    Article  Google Scholar 

  • Evans, A.G. (1974) Slow crack growth in brittle materials under dynamic loading conditions. Int. J. Fracture 10, 251–259.

    Google Scholar 

  • Evans, A.G. (1975) Residual stress measurement using acoustic emission. J. Am. Ceramic Soc. 58, 239–243.

    Google Scholar 

  • Evans, A.G. and Johnson, H. (1975) The fracture stress and its dependence on slow crack growth. J. Materials Science 10, 214–222.

    Article  Google Scholar 

  • Evans, A.G., Linzer, M. and Russell, L.R. (1974) Acoustic emission and crack propagation in polycrystalline alumina. Mat. Sci. and Engineering 15, 253–261.

    Google Scholar 

  • Fiedler, G.B. (1974) Local b-values related to seismicity. Tectonophysics 23, 277–282.

    Article  Google Scholar 

  • Friedman, M., Handin, J. and Alani, G. (1972) Fracture-surface energy of rocks. Int. J. Rock Mech. Min. Sci. 9, 757–766.

    Google Scholar 

  • Gilman, J.J. (1960) Direct measurements of the surface energies of crystals. J. Appl. Physics 31, 2208–2218.

    Google Scholar 

  • Griffith, A.A. (1920) The phenomena of rupture and flow in solids. Phil. Trans. Royal Soc. Lond. Ser. A. 221, 163–198.

    Google Scholar 

  • Hasegawa, A., Hasegawa, T. and Hori, S. (1975) Premonitory variation in seismic velocity related to the southeastern Akita earthquake of 1970. J. Phys. Earth 23, 189–203.

    Google Scholar 

  • Henry, J.P. and Paquet, J. (1976) Mécanique de la rupture de roches calcitiques. Bull. Soc. géol. France. XVIII, 1573–1582.

    Google Scholar 

  • Husseini, M.E., Jovanovich, D.B., Randall, M.J. and Freund, L.B. (1975) The fracture energy of earthquakes. Geo-phys. J.R. Astr. Soc. 43, 367–385.

    Google Scholar 

  • Ida, Y. (1973) The maximum acceleration of seismic ground motion. Bull. Seismol. Soc. Am. 63, 959–968.

    Google Scholar 

  • Irwin, G.R. (1958) Fracture. In Handbuch der Physik (ed. S. Flügge ) vol. 6, 55–1590, Springer-Verlag, Berlin.

    Google Scholar 

  • Karihaloo, B.L. (1979) A note on the complexities of compression failure. Proc. Roy. Soc. Lond., Ser. A. 368, 483–493.

    Google Scholar 

  • Kendall, K. (1978a) Complexities of compression failure. Proc. Roy. Soc. Lond. Ser. A., 361, 245–263.

    Google Scholar 

  • Kendall, K. (1978b) The impossibility of comminuting small particles by compression. Nature, 272, 710–711.

    Article  Google Scholar 

  • Martin, R.J. (1972) Time-dependent crack growth in quartz and its application to creep in rocks. J. Geophys. Res. 77, 1406–1419.

    Google Scholar 

  • Morrison, P.W., Stump, B.W. and Uhrhammer, R. (1976) The Oroville earthquake sequence of August 1975. Bull. Seism. Soc. America. 66, 1065–1084.

    Google Scholar 

  • Palmer, A.C. and Rice, J.R. (1973) The growth of slip surfaces in the progressive failure of over-consolidated clay. Proc. Roy. Soc. Lond. Ser. A. 332, 527–548.

    Google Scholar 

  • Paris, P.C. and Sih, G.C. (1965) Stress analysis of cracks. ASTM STP 381, American Society for Testing and Materials 30–76.

    Google Scholar 

  • Peng, S. and Johnson, A.M. (1971) Crack growth and faulting in cylindrical specimens of Chelmsford Granite. Int. J. Rock Mech. Min. Sci. 9, 37–86.

    Google Scholar 

  • Rice, J.R. (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35, 379–386.

    Google Scholar 

  • Rice, J.R. (1979a) Theory of precursory processes in the inception of earthquake rupture. Gerlands Beitr. Geophysik, Leipzig 88, 91–127.

    Google Scholar 

  • Rice, J.R. (1979b) The mechanics of earthquake rupture. In Proc. Int. School of Physics “Enrico Fermi”, Italian Physical Soc., Course LXXVIII ( 1979, Varenna on Lake Como, Italy) on Physics of the Earth’s Interior edited by E. Boschi, North-Holland Publishing Co.

    Google Scholar 

  • Rice, J.R. and Cleary, M.P. (1976) Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents. Rev. Geophys. Space Phys. 14, 227–241.

    Google Scholar 

  • Rice, J.R.,and Simons, D.A. (1976) The stabilization of spreading shear faults by coupled deformation-diffusion effects in fluid-infiltrated porous materials. J. Geophys. Res. 81, 5322–5334.

    Google Scholar 

  • Rice, J.R., Paris, P.C. and Merkle, J.G. (1973) Some further results of J-integral analysis and estimates. ASTM STP 536, American Society for Testing and Materials 231–245.

    Google Scholar 

  • Rudnicki, J.W. (1977) The inception of faulting in a rock mass with a weakened zone. J. Geophys. Res. 82, 844–854.

    Google Scholar 

  • Rudnicki, J.W. (1979) The stabilization of slip on a narrow weakening fault zone by coupled deformation - pore fluid diffusion. Bull. Seismol. Soc. Am. 69, 1011–1026.

    Google Scholar 

  • Rudnicki, J.W. (1980) Fracture Mechanics applied to the earth’s crust. Annual Rev. Earth and Planetary Sciences (editor F.A. Donath), Annual Reviews Inc. vol. 8 (in press)

    Google Scholar 

  • Rutter, E.H. and Mainprice, D.H. (1978) The effect of water on stress relaxation of faulted and unfaulted sandstone. Pure and Applied Geophysics 116, 634–654.

    Article  Google Scholar 

  • Santhanam, A.T. and Gupta, Y.P. (1968) Cleavage surface energy of calcite. Int. J. Rock Mech. Min. Sci. 5, 253–259.

    Google Scholar 

  • Schmidt, R.A. (1976) Fracture toughness testing of limestone. Experimental Mechanics 16, 161–167.

    Article  Google Scholar 

  • Schmidt, R.A. and Lutz, T.J. (1978) KIc and JIc of Westerley Granite - Effects of thickness and in-plane dimensions. 11th National Symp. Fracture Mechanics, Blacksburg, Virginia, 1978. To appear as future ASTM STP.

    Google Scholar 

  • Scholz, C.H. (1968) Mechanism of creep in brittle rock. J. Geophys. Res. 73, 3295–3302.

    Google Scholar 

  • Scholz, C.H. (1972) Static fatigue of quartz. J. Geophys. Res. 77, 2104–2114.

    Google Scholar 

  • Stuart, W.D. (1979) Strain softening prior to two-dimensional strike-slip earthquakes. J. Geophys. Res. 84, 1063–1070.

    Google Scholar 

  • Stesky, R.M. (1975) Acoustic emission during high-temperature frictional sliding. Pure and Applied Geophysics 113, 31–43.

    Article  Google Scholar 

  • Swain, M.V. and Atkinson, B.K. (1978) Fracture surface energy of olivine. Pure and Applied Geophysics 116, 866–872.

    Article  Google Scholar 

  • Swain, M.V. and Lawn, B.R. (1976) Indentation fracture in brittle rocks and glasses. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 13, 311–319.

    Google Scholar 

  • Wawersik, W.R. and Brace, W.F. (1971) Post-failure behaviour of granite and diabase. Rock Mech. 3, 61–85.

    Article  Google Scholar 

  • Weeks, J., Lockner, D. and Byerlee, J. (1978) Change in b-values during movement on cut surfaces in granite. Bull. Seismol. Soc. Am. 68, 333–341.

    Google Scholar 

  • Weisinger, R., Costin, L.S. and Lutz, T.J. (1980) Klc and J-resistance-curve measurements on Nevada Tuff. Experimental Mechanics 20, 68–72.

    Article  Google Scholar 

  • Wilkening, W.W. (1978) J-integral measurement in geological materials. In Proc. 19th U.S. Symp. Rock Mechanics, Stateline, Nevada, 1978, Ed. Y.S. Kim, 254–258.

    Google Scholar 

  • Wilkins, B.J.S. (1980) Slow crack growth and delayed failure of granite. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. (in press).

    Google Scholar 

  • Williams, D.P. and Evans, A.G. (1973) A simple method for studying slow crack growth. J. Testing and Evaluation 1, 264–270.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Imperial College of Science and Technology, London, SW7 2BP, Great Britain

    Barry Kean Atkinson

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  1. Barry Kean Atkinson
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Editor information

Editors and Affiliations

  1. Istanbul, Turkey

    A. Mete Işikara

  2. Berlin, Germany

    Andreas Vogel

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© 1982 Springer Fachmedien Wiesbaden

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Atkinson, B.K. (1982). Fracture Mechanics Modelling of Earthquake Generating Processes. In: Işikara, A.M., Vogel, A. (eds) Multidisciplinary Approach to Earthquake Prediction. Progress in Earthquake Prediction Research, vol 2. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14015-3_39

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  • DOI: https://doi.org/10.1007/978-3-663-14015-3_39

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08482-0

  • Online ISBN: 978-3-663-14015-3

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