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Hybrid fracture and the transition from extension fracture to shear fracture

Abstract

Fracture is a fundamental mechanism of material failure. Two basic types of brittle fractures are commonly observed in rock deformation experiments—extension (opening mode) fractures and shear fractures1,2. For nearly half a century it has been hypothesized that extension and shear fractures represent end-members of a continuous spectrum of brittle fracture types3,4,5,6. However, observations of transitional fractures that display both opening and shear modes (hybrids) in naturally deformed rock have often remained ambiguous, and a clear demonstration of hybrid fracture formation has not been provided by experiments4. Here we present the results of triaxial extension experiments on Carrara marble that show a continuous transition from extension fracture to shear fracture with an increase in compressive stress. Hybrid fractures form under mixed tensile and compressive stress states at acute angles to the maximum principal compressive stress. Fracture angles are greater than those observed for extension fractures and less than those observed for shear fractures. Fracture surfaces also display a progressive change from an extension to shear fracture morphology.

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Figure 1: A representation using the Mohr diagram of the hypothesis that the brittle failure envelope and the transition from extension fracture to shear fracture is continuous.
Figure 2: Photographs of the undeformed and deformed notch-cut dog-bone samples of Carrara marble.
Figure 3: Fracture angle and fracture strength as a function of confining pressure.

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References

  1. Jaeger, J. C. & Cook, N. G. W. Fundamentals of Rock Mechanics (Chapman and Hall, London, 1979)

    Google Scholar 

  2. Paterson, M. S. Experimental Rock Deformation—The Brittle Field (Springer, Berlin, 1978)

    Book  Google Scholar 

  3. Hancock, P. L. in Geology in the Real World—the Kingsley Dunham Volume (eds Nichol, I. & Nesbitt, R. W.) 155–164 (Institution of Mining and Metallurgy, London, 1986)

    Google Scholar 

  4. Engelder, T. Transitional-tensile fracture propagation: a status report. J. Struct. Geol. 21, 1049–1055 (1999)

    Article  ADS  Google Scholar 

  5. Muehlberger, W. R. Conjugate joint sets of small dihedral angle. J. Geol. 69, 211–219 (1961)

    Article  ADS  Google Scholar 

  6. Sibson, R. H. Brittle-failure controls on maximum sustainable overpressure in different tectonic regimes. Am. Assoc. Petrol. Geol. Bull. 87, 901–908 (2003)

    Google Scholar 

  7. Griggs, D. T. & Handin, J. W. Observations on fracture and a hypothesis of earthquakes. Geol. Soc. Am. Mem. 79, 347–364 (1960)

    CAS  Google Scholar 

  8. Hoskins, E. R. The failure of thick-walled hollow cylinders of isotropic rock. Int. J. Rock Mech. Min. Sci. 6, 99–125 (1969)

    Article  Google Scholar 

  9. Handin, J. On the Coulomb-Mohr failure criterion. J. Geophys. Res. 74, 5343–5348 (1969)

    Article  ADS  Google Scholar 

  10. Mogi, K. Effect of the intermediate principal stress on rock failure. J. Geophys. Res. 72, 5117–5131 (1967)

    Article  ADS  Google Scholar 

  11. Leon, A. Über die Rolle des Trennbruches im Rahmen der Mohrschen Anstrengungshypothese. Bauingenieur 15, 318–321 (1934)

    Google Scholar 

  12. Nadai, A. Theory of Flow and Fracture of Solids (McGraw Hill, New York, 1934)

    Google Scholar 

  13. Griffith, A. A. Theory of rupture. Proc. Int. Congr. Appl. Mech. 1, 55–63 (1924)

    Google Scholar 

  14. McClintock, F. A. & Walsh, J. B. in Proc. 4th US Nat. Congr. Appl. Mech. Vol. II, 1015–1021 (Am. Soc. Mech. Eng., New York, 1962)

    Google Scholar 

  15. Murrell, S. A. F. The effect of triaxial stress systems on the strength of rocks at atmospheric temperatures. Geophys. J. R. Astron. Soc. 10, 231–281 (1965)

    Article  ADS  Google Scholar 

  16. Murrell, S. A. F & Digby, P. J. The theory of brittle fracture initiation under triaxial stress conditions. I and II. Int. Geophys. J. R. Astron. Soc. 19, 309–334 and 499–512 (1970)

    Article  ADS  Google Scholar 

  17. Brace, W. F. An extension of the Griffith theory of fracture to rocks. J. Geophys. Res. 65, 3477–3480 (1960)

    Article  ADS  Google Scholar 

  18. Secor, D. T. Role of fluid pressure in jointing. Am. J. Sci. 263, 633–646 (1965)

    Article  ADS  Google Scholar 

  19. Brace, W. F. in State of Stress in the Earth's Crust (ed. Judd, W. R.) 111–180 (American Elsevier, New York, 1964)

    Google Scholar 

  20. Schock, R. N. & Louis, H. Strain behavior of a granite and a greywacke sandstone in tension. J. Geophys. Res. 87, 7817–7823 (1982)

    Article  ADS  Google Scholar 

  21. Pieri, M., Burlini, L., Kunze, K., Stretton, I. & Olgaard, D. Rheological and microstructural evolution of Carrara marble with high shear strain: results from high temperature torsion experiments. J. Struct. Geol. 23, 1393–1413 (2001)

    Article  ADS  Google Scholar 

  22. Ramsey, J. M. Experimental Study of the Transition from Brittle Shear Fractures to Joints (Texas A&M Univ. Press, College Station, TX, 2003)

    Google Scholar 

  23. Neuber, H. Theory of Notch Stresses (McGraw-Hill, New York, 1937)

    Google Scholar 

  24. Handin, J., Friedman, M., Logan, J. M., Pattison, L. J. & Swolfs, H. S. in Flow and Fracture of Rocks (eds Heard, H. C., Borg, I. Y., Carter, N. L. & Raleigh, C. B.) 1–28 (AGU Geophys. Monogr. 16, American Geophysical Union, 1972)

    Book  Google Scholar 

  25. Jaeger, J. C. & Hoskins, E. R. Stresses and failure in rings of rock loaded in diametral tension or compression. Br. J. Appl. Phys. 17, 685–692 (1966)

    Article  ADS  Google Scholar 

  26. Engelder, T. The analysis of pinnate joints in the Mount Desert Island granite: implications for post-intrusion kinematics in the coastal volcanic belt, Maine. Geology 17, 564–567 (1989)

    Article  ADS  Google Scholar 

  27. Reches, Z. & Lockner, D. Nucleation and growth of faults in brittle rocks. J. Geophys. Res. 99, 18159–18174 (1994)

    Article  ADS  Google Scholar 

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Acknowledgements

We thank M. Finn, A. K. Kronenberg and J. S. Chester for discussions and suggestions, J. N. Magouirk and E. C. Powell for assistance in the laboratory, and J. S. Chester for reviews of the manuscript. This work was partially supported by US NSF.

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Correspondence to Frederick M. Chester.

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Ramsey, J., Chester, F. Hybrid fracture and the transition from extension fracture to shear fracture. Nature 428, 63–66 (2004). https://doi.org/10.1038/nature02333

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