Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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 111–120
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 35–42
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):B10203
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):117–149
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):1–15
Katsman R, Aharonov E, Haimson B (2009) Compaction bands induced by borehole drilling. Acta Geotech 4(3):151–162
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 3–31
Nowacki W (1970) Theory of micropolar elasticity. Springer, Wien
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 T40.014
Puzrin AM, Germanovich LN (2005) The growth of shear bands in the catastrophic failure of soils. Proc Royal Soc: A 461(2056):1199–1228
Reches Z, Lockner DA (1994) Nucleation and growth of faults in brittle rocks. J Geophys Res 99(B9):18159–18173
Rudnicki JW, Sternlof KR (2005) Energy release model of compaction band propagation. Geophys Res Lett 32:L16303
Sternlof KR, Rudnicki JW, Pollard DD (2005) Anticrack inclusion model for compaction bands in sandstone. J Geophys Res 110(B11):B11403
Tembe S, Baud P, Wong TF (2008) Stress conditions for the propagation of discrete compaction bands in porous sandstone. J Geophys Res 113(B9):B09409
Valko P, Economides MJ (1995) Hydraulic Fracture Mechanics, John Wiley & Sons
Acknowledgments
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Dyskin, A., Pasternak, E. (2015). Energy Criterion of In-plane Fracture Propagation in Geomaterials with Rotating Particles. In: Chau, KT., Zhao, J. (eds) Bifurcation and Degradation of Geomaterials in the New Millennium. IWBDG 2014. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-13506-9_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-13506-9_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13505-2
Online ISBN: 978-3-319-13506-9
eBook Packages: EngineeringEngineering (R0)