Mechanisms of deformation localization at the tips of shear fractures: Findings from analogue experiments and field evidence

Journal of Geophysical Research: Solid Earth

Volumn 114, Issue 4, 2009, Pages

  Misra, Santanu ^d   Mandai, Nibir ^c   Dhar, Rajib ^b   Chakraborty, Chandan ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b JADAVPUR UNIVERSITY   (India)

^c INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH KOLKATA   (India)

^d ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE DEFORMATION; CRACK; EXPERIMENTAL STUDY; FINITE ELEMENT METHOD; FRACTURE PROPAGATION; NUCLEATION; RESIN; SHEAR;

EID: 69249093081     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2008JB005737     Document Type: Article

References (76)

1. Anand, L., and W. A. Spitzig (1980), Initiation of localized shear bands in plane strain, J. Mech. Phys. Solids, 28, 113-128.
2. Anand, L., and W. A. Spitzig (1982), Shear-band orientations in plane strain, Acta Metall., 30, 553-561.
3. Ashby, M. F., and F. D. Hallam (née Coolsley) (1986), The failure of brittle solids containing small cracks under compressive stress states, Acta Metall., 34, 497-510.
4. Atkinson, B. K. (1987), Fracture Mechanism of Rock, Acad. Press, London.
5. Bilby, B. A., and G. E. Cardew (1975), The crack with a kinked tip, Int. J. Fract., 11, 708-712.
6. Bobet, A., and H. H. Einstein (1998), Fracture coalescence in rock-type materials under uniaxial and biaxial compression, Int. J. Rock Mech. Min. Sci., 35, 863-888.
7. Bowden, P. B., and S. Raha (1970), The formation of micro-shear bands in polystyrene and polymethylmethaacrylate, Philos. Mag., 22, 463-482.
8. Brace, W. F., and E. G. Bombolakis (1963), A note on brittle crack growth in compression, J. Geophys. Res., 68, 3709-3713.
9. Burgmann, R., and D. D. Pollard (1994), Strain accommodation about strike-slip fault discontinuities in granitic rock under brittle-ductile conditions, J. Struct. Geol., 16, 1655-1690.
10. Chen, C.-S., E. Pan, and B. Amadei (1998), Fracture mechanism analysis of cracked discs of anisotropic rock using the boundary element method, Int. J. Rock Mech. Min. Sci. Geomech. Abstr, 35, 195-218.
11. Cooke, M. (1997), Fracture localization along faults with spatially varying friction, J. Geophys. Res., 102, 22,425-22,434.
12. Cotterell, B., and J. R. Rice (1980), Slightly curved or kinked cracks, Int. J. Fract., 16, 155-169.
13. Cruikshank, K. M., G. Zhao, and A. M. Johnson (1991), Analysis of minor fractures associated with joints and faulted joints, J. Struct. Geol., 13, 865-886.
14. de Joussineau, G., J. P. Petit, and B. D. M. Gauthier (2003), Photoelastic and numerical investigation of stress distributions around fault models under biaxial compressive loading conditions, Tectonophysics, 363, 19-43.
15. Erdogan, F., and G. C. Sih (1963), On the crack extension path in plates under loading and transverse shear, J. Basic Eng., 85, 519-527.
16. Fletcher, R. C., and D. D. Pollard (1981), Anticrack model for pressure solution surface, Geology, 9, 419-424.
17. Freund, L. B. (1990), Dynamic Fracture Mechanism, Cambridge Univ. Press, Cambridge, U. K.
18. Gdoutos, E. E. (2005), Fracture Mechanics an Introduction, 2nd ed., Springer, Dordrecht, Netherlands.
19. Gehle, C., and H. K. Kutter (2003), Breakage and shear behaviour of intermittent rock joints, Int. J. Rock Mech. Min. Sci., 40, 687-700.
20. Griffith, A. A. (1920), The phenomena of rupture and flow in solids, Philos. Trans. R. Soc. Ser. A, 221, 169-198.
21. Grujic, D., and N. S. Mancktelow (1998), Melt-bearing shear zones: analogue experiments and comparison with examples from southern Madagascar, J. Struct. Geol., 20, 673-680.
22. Gu, Y., and T. F. Wong (1994), Development of shear localization in simulated quartz gouge: Effect of cumulative slip and gouge particle size, Pure Appl. Geophys., 143, 387-423.
23. He, M.-Y., and J. W. Hutchinson (1989), Crack deflection at an interface between dissimilar elastic materials, Int. J. Solids Struct., 25, 1053-1069.
24. Healy, D., R. R. Jones, and R. D. Holdsworth (2006a), New insights into the development of the brittle shear fractures from a 3D numerical model of microcrack interaction, Earth Planet. Sci. Lett., 249, 14-28.
25. Healy, D., R. R. Jones, and R. D. Holdsworth (2006b), Three-dimensional brittle shear fracturing by tensile crack interaction, Nature, 439, doi:10.1038/nature04346.
26. Ichikawa, M., and S. Tanaka (1982), A critical analysis of the relationship between the energy release rate and the stress intensity factors for noncoplanar crack extension under combined mode loading, Int. J. Fract., 18, 19-28.
27. Ingraffea, A. R. (1987), Crack initiation and propagation, in Fracture Mechanism of Rock, edited by B. K. Atkinson, pp. 71 -110, Acad. Press, London.
28. Jaeger, J. C. (1969), Elasticity, Fracture and Flow with Engineering and Geological Applications, Methuen & Co., London.
29. Jaeger, J. C., and N. G. W. Cook (1979), Fundamental of Rock Mechanics, 3rd ed., CRC Press, New York.
30. Jessell, M. W., and G. S. Lister (1991), Strain localization behaviour in experimental shear zones, Pure Appl. Geophys., 137(N4), 421-438.
31. Jessell, M. W., E. Siebert, P. D. Bons, L. Evans, and S. Piazolo (2005), A new type of numerical experiment on the spatial and temporal patterns of localization of deformation in a material with a coupling of grain size and rheology, Earth Planet. Sci. Lett., 239, 309-326.
32. Ju, J. W., and L. Z. Sun (2001), Effective elastoplastic behaviour of metal matrix composites containing randomly located aligned spheroidal inhomogeneities. part 1: Micromechanism based formulation, Int. J. Solids Struct., 38, 183-201.
33. Kachanov, M. L. (1982), A microcrack model of rock inelasticity, part II: Propagation of microcracks, Mech. Mater., 1, 9-41.
34. Kattenhorn, S., and S. T. Marshall (2006), Fault-induced perturbed stress field and associated tensile and compressive deformation at fault tips in the ice shell of Europa: Implications for fault mechanics, J. Struct. Geol., 28, 2204-2221.
35. Kemeny, J. M., and N. G. W. Cook (1991), Micromechanism of deformation in rocks, in Toughening Mechanism in Quasi-Brittle Materials, edited by S. P. Shaw, pp. 155-188, Springer, New York.
36. Klein, E., and T. Reuschle (2004), A pore crack model for the mechanical behaviour of porous granular rocks in the brittle deformation regime, Int. J. Rock Mech. Min. Sci., 41, 975-986.
37. Küntz, M., P. Lavallée, and J. C. Mareschal (1998), Steady-state flow experiments to visualize the stress field and potential crack trajectories in 2D elastic-brittle cracked media in uniaxial compression, Int. J. Fract., 92, 349-357.
38. Leblond, J.-B., and J. Frelat (2000), Crack kinking from an initially closed crack, Int. J. Solids Struct., 37, 1595-1614.
39. Lehner, F., and M. Kachanov (1996), On modeling of "winged" cracks forming under compression, Int. J. Fract., 77, R69-R75.
40. Li, Y. P., L. Z. Chen, and Y. H. Wang (2005), Experimental research on precracked marble under compression, Int. J. Solids Struct., 42, 2505-2516.
41. Lu, Z., K. Nomura, A. Sharma, W. Wang, C. Zhang, A. Nakano, R. Kalia, P. Vashishta, E. Bouchaud, and C. Rountree (2005), Dynamics of wing cracks and nanoscale damage in glass, Phys. Rev. Lett., 95, 135501.
42. Mahadevan, T. M. (1992), Geological evolution of Chhotonagpur Gneissic Complex in parts of Purulia district, West Bengal, Indian J. Geol., 64, 1-22.
43. Mancktelow, N. (2002), Finite-element modelling of shear zone development in viscoelastic materials and its implications for partial melting, J. Struct. Geol., 24, 1045-1053.
44. Mandai, N., S. Misra, and S. K. Samanta (2004), Role of weak zones in nucleation of shear zones: An experimental and theoretical study, J. Struct. Geol., 26, 1391-1400.
45. Mandl, G. (2000), Faulting in Brittle Rocks: An Introduction o the Mechanism of Tectonic Faults, 434 pp., Springer, New York.
46. Martel, S. J. (1997), Effects of cohesive zones on small faults and implications for secondary fracturing and fault trace geometry, J. Struct. Geol., 19, 835-847.
47. Martel, S. J., and W. A Boger (1998), Geometry and mechanics of secondary fracturing and fault trace geometry, J. Geophys. Res., 103, 21,299-21,314.
48. Misra, S., and N. Mandai (2007), Localization of plastic zones in rocks around rigid inclusions: Insights from experimental and theoretical models, J Geophys. Res., 112, B09206, doi:10.1029/2006JB004328.
49. Mollema, P. N., and M. A. Antonellini (1996), Compaction bands: A structural analog for anti-mode I cracks in aeolian sand stone, Tectonophysics, 267, 209-228.
50. Murakami, Y. (1986), Stress Intensity Factors Handbook, Elsevier, New York.
51. Mutlu, O., and A. Bobet (2005), Slip initiation on frictional fractures, Eng. Fract. Mech., 72(5), 729-747.
52. Mutlu, O., and D. D. Pollard (2008), On the patterns of wing cracks along an outcrop scale flaw: A numerical modeling approach using complementarity, J. Geophys. Res., 113, B06403, doi:10.1029/2007JB005284.
53. Nemat-Nasser, S., and H. Horii (1982), Compression induced non planar crack extension with application to splitting, exfoliation and rock-burst, J. Geophys. Res., 87, 6805-6821.
54. Olson, J. E., and D. D. Pollard (1991), The initiation of en echelon veins, J. Struct. Geol., 13(5), 595-608.
55. Olsson, W. A., and D. J. Holcomb (2000), Compaction localization in porous rock, Geophys. Res. Lett., 27, 3537-3540.
56. Poirier, J. P. (1980), Shear localization and shear instability in materials in the ductile field, J. Struct. Geol., 2, 135-142.
57. Pollard, D. D., and A. A. Aydin (1988), Progress in understanding jointing over the past century, Geol. Soc. Am. Bull., 100, 1181-1204.
58. Pollard, D. D., and R. C. Fletcher (2005), Fundamentals of Structural Geology, Cambridge Univ. Press, New York.
59. Pollard, D. D., and P. Segall (1987), Theoretical displacement and stress near fractures in rock: With applications to faults, joints, veins, dikes, and solution surfaces, in Fracture Mechanism of Rock, edited by B. K. Atkinson, pp. 277-349, Acad. Press, London.
60. Reches, Z., and D. A. Lockner (1994), Nucleation and growth of faults in brittle rocks, J. Geophys. Res., 99, 18,159-18,173.
61. Renshaw, C. E., and E. M. Schulson (2001), Universal behaviour in compressive failure to brittle materials, Nature, 412, 897-900.
62. Rispoli, R. (1981), Stress field about strike-slip faults inferred from stylolites and extension fractures, Tectonophysics, 75, T29-T36.
63. Rousseau, C. E., and A. J. Rosakis (2003), On the influence of fault bends on the growth of sub-Rayleigh and intrasonoc dynamic shear ruptures, J. Geophys. Res., 108(B9), 2411, doi:10.1029/2002JB002310.
64. Segall, P., and D. D. Pollard (1980), Mechanics of discontinuous faults, J. Geophys. Res., 85, 4337-4350.
65. Segall, P., and D. D. Pollard (1983), Nucleation and growth of strike-slip faults in granite, J. Geophys. Res., 88, 555-568.
66. Segall, P., and C. Simpson (1986), Nucleation of ductile shear zones on dilatant fractures, Geology, 14, 56-59.
67. Shao, J. F., and J. W. Rudnicki (2000), A microcrack-based continuous damage model for brittle geomaterials, Mech. Mater, 32, 607-619.
68. Simpson, G. D. H., Y. Gueguen, and F. Schneider (2003), Analytical model for permeability evolution in microcracking rock, Pure Appl. Geophys., 160, 999-1008.
69. Tembe, S., V. Vajdova, T. F. Wong, and W. Zhu (2006), Initiation and propagation of strain localization in circumferentially notched samples of two porous sandstones, J. Geophys. Res., 111, B02409, doi:10.1029/ 2005JB003611.
70. Thomas, A. L., and D. D. Pollard (1993), The geometry of echelon fractures in rock: Implications from laboratory and numerical experiments, J. Struct. Geol., 15, 323-334.
71. Tvergaard, V. (1981), Influence of voids on shear band instabilities under plane strain conditions, Int. J. Fract., 17, 389-407.
72. Tvergaard, V., A. Needleman, and K. K. Lo (1981), Flow localization in the plane strain tensile test, J. Mech. Phys. Solids, 29, 115-142.
73. Vajdova, V., and T. F. Wong (2003), Incremental propagation of discrete compaction bands: Acoustic emission and microstructural observations on circumferentially notched samples of Bentheim sandstone, Geophys. Res. Lett., 30(14), 1775, doi:10.1029/2003GL017750.
74. Willemse, E. J. M., and D. D. Pollard (1998), On the orientation and patterns of wing cracks and solution surfaces at the tips of a sliding flaw or fault, J. Geophys. Res., 103, 2427-2438.
75. Wang, P., and L. R. Xu (2006), Dynamical interfacial debonding initiation induced by an incident crack, Int. J. Solids Struct., 43, 6535-6560.
76. Wong, R. H. C., C. M. Law, K. T. Chau, and W. S. Zhu (2004), Crack Propagation from 3D surface fractures in PMMA and marble specimens under uniaxial compression, Int. J. Rock Mech. Min. Sci., 41, 1-6.