Energy Criterion of In-plane Fracture Propagation in Geomaterials with Rotating Particles

  • Arcady DyskinEmail author
  • Elena Pasternak
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


In-plane propagation of tensile fractures (Mode I cracks), shear fractures/bands (Mode II cracks) and compaction bands (Mode I anticracks) is routinely observed in geomaterials in the presence of high compressive stress. While the in-plane propagation of tensile cracks is expected, the mechanics of in-plane propagation of shear cracks is not clear. We propose a unified criterion of in-plane growth of these types of fractures based on the assumption that the grains are able to undergo independent relative rotations. The relative rotations break the binder between the grains even in the presence of high compressive stress. An asymptotic model is developed for long fractures showing that the energy release rate is controlled by the conventional Mode I and II stress intensity factors. The proposed unified criterion of fracture growth compares the energy release rate with the specific fracture energy consisting of three terms: the fracture energy of the bonds (present in all three types of fracture), specific energy of shear (for shear fractures/bands) and specific energy of compaction (for compaction bands). We developed estimates for all three components of the specific fracture energy.


Stress Intensity Factor Energy Release Rate Hydraulic Fracture Shear Fracture Tensile Crack 
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We acknowledge financial support from ARC Linkage Grant LP120200797. The paper is a part of research under the initiative ‘Engineering for Remote Operations of the Faculty of Engineering’, mathematics and Computing of the University of Western Australia.


  1. Dyskin AV, Pasternak E (2008) Rotational mechanism of in-plane shear crack growth in rocks under compression. In: Potvin Y, Carter J, Dyskin A, Jeffrey R (eds) Proceedings of 1st southern hemisphere international rock mechanics symposium SHIRMS 2008, vol 2, Australian Centre for Geomechanics, Australia, pp 111–120Google Scholar
  2. Dyskin AV, Pasternak E (2010) Cracks in Cosserat continuum—Macroscopic modelling. In: Maugin GA, Metrikine AV (eds) Mechanics of generalized continua: one hundred years after the Cosserats. Advances in mechanics and mathematics, vol 21, Springer, New York, pp 35–42Google Scholar
  3. Fortin J, Stanchits S, Dresen G, Guéguen Y (2006) Acoustic emission and velocities associated with the formation of compaction bands in sandstone. J Geophys Res 111(B10):B10203CrossRefGoogle Scholar
  4. Germanovich LN, Salganik RL, Dyskin AV, Lee KK (1994) Mechanisms of brittle fracture of rock with multiple pre-existing cracks in compression. Pure Appl Geophys 143(1–3):117–149CrossRefGoogle Scholar
  5. Holcomb D, Rudnicki J, Issen K, Sternlof KR (2007) Compaction localization in the Earth and the laboratory: state of the research and research directions. Acta Geotech 2(1):1–15CrossRefGoogle Scholar
  6. Katsman R, Aharonov E, Haimson B (2009) Compaction bands induced by borehole drilling. Acta Geotech 4(3):151–162CrossRefGoogle Scholar
  7. Lockner DA, Byerlee JD, Kuksenko V, Ponomarev A, Sidorin A(1992) Observations of quasistatic fault growth from acoustic emissions. In: Evans B, Wong T.-F (eds) Fault mechanics and transport properties of rocks, vol 51, Academic Press, London, pp 3–31Google Scholar
  8. Nowacki W (1970) Theory of micropolar elasticity. Springer, WienGoogle Scholar
  9. Pasternak E, Dyskin AV (2009) Intermediate asymptotics for scaling of stresses at the tip of crack in Cosserat continuum. In: Proceedings of 12th international conference on fracture ICF12, Ottawa, paper T40.014Google Scholar
  10. Puzrin AM, Germanovich LN (2005) The growth of shear bands in the catastrophic failure of soils. Proc Royal Soc: A 461(2056):1199–1228CrossRefMathSciNetzbMATHGoogle Scholar
  11. Reches Z, Lockner DA (1994) Nucleation and growth of faults in brittle rocks. J Geophys Res 99(B9):18159–18173CrossRefGoogle Scholar
  12. Rudnicki JW, Sternlof KR (2005) Energy release model of compaction band propagation. Geophys Res Lett 32:L16303CrossRefGoogle Scholar
  13. Sternlof KR, Rudnicki JW, Pollard DD (2005) Anticrack inclusion model for compaction bands in sandstone. J Geophys Res 110(B11):B11403CrossRefGoogle Scholar
  14. Tembe S, Baud P, Wong TF (2008) Stress conditions for the propagation of discrete compaction bands in porous sandstone. J Geophys Res 113(B9):B09409Google Scholar
  15. Valko P, Economides MJ (1995) Hydraulic Fracture Mechanics, John Wiley & SonsGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.University of Western AustraliaPerthAustralia

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