Skip to main content

The Hoek-Brown Brittle-Ductile Transition Analysis

  • Chapter
  • First Online:
The Hoek-Brown Failure criterion—From theory to application
  • 646 Accesses

Abstract

With the increase of mining depth of coal resources, the mechanical behavior of deep rock is different from that of shallow rock. The mechanical behavior of rock shows the phenomenon of brittle-ductile transition under coupled effects of temperature, pressure and water, which are thought to be the typical factors in deep mine. In this chapter, the mechanism of brittle-ductile transition of deep rock is discussed in detail. It is considered that temperature and pressure plays an external role in brittle-ductile transition, while the change of micro-structure in rock plays an internal role. The brittle-ductile transition of deep rock is affected by two kinds of factors, and they influence each other.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Atkinson BK (1992) Rock fracture mechanics (trans: Yin X, Xiu J et al). Seismological Press

    Google Scholar 

  • Brace WF, Paulding BW, Scholz C (1966) Dilatancy in the fracture of crystalline rocks. J Geophys Res 71:3939–3953

    Article  Google Scholar 

  • Carniglia SC (1972) Reexamination of experimental strength-vs-grain size data for ceramics. J Am Ceram Soc 55(5):243–249

    Article  Google Scholar 

  • Evans B, Frederich JT, Wong TF (1990) The brittle-ductile transition in rocks: recent experimental and theoretical progress. In: Duba AG, Durham WB, Handin JW, Wang HF (eds) The brittle-ductile transition in rocks. The Heard Volume: American Geophysical Union, Washington DC, Geophys. Monograph 56:1–20

    Google Scholar 

  • Freiman SW (1984) Effects of chemical environments on slow crack growth in glasses and ceramics. J Geophys Res 89:4027–4076

    Article  Google Scholar 

  • Gowd TN, Rummel F (1980) Effect of confining pressure on the fracture behaviour of a porous. Int J Rock Mech Sci Geomech Abstr 12:225–229

    Google Scholar 

  • Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc Ser A Lond 221:163–198

    Article  Google Scholar 

  • Handin J (1953) An application of high pressure in geophysica: experimental rock deformation. Trans Am Soc Mech Eng 75:315–324

    Google Scholar 

  • Handin J (1966) Strength and ductility. In: Handbook of physical constants, revised edn. In: Clark SP (ed) Geol Soc Am Memoir 97:223–289

    Google Scholar 

  • Heard HC (1960) Transition from brittle fracture to ductile flow in Solnhofen limestone as a function of temperature, confining pressure, and interstitial fluid pressure. In: Griggs D, Handin J (eds) Rock deformation. Geol Soc Am Mem 79:193–226

    Google Scholar 

  • Hou ZM (2003) Mechanical behaviour of salt in the excavation disturbed zone around underground facilities. Int J Rock Mech Min Sci 40(5):727–740

    Google Scholar 

  • Inglis CE (1913) Stress in a plate due to the presence of cracks and sharp corners. Trans Inst Naval Archit 55:219

    Google Scholar 

  • Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24:361–364

    Google Scholar 

  • Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell, Oxford

    Google Scholar 

  • Johnson B, Gangi AF, Handin J (1978) Thermal cracking of rock subject to show, uniform temperature changes. In: Proceedings of the 19th US symposium on rock mechanics, pp 259—267

    Google Scholar 

  • Kwasniewski M (1989) Laws of brittle failure and of B-D transition in sandstone. In: Maury V, Fourmaintrax D (eds) Rock at great depth. A. A. Balkema, Rotterdam, pp 45–58

    Google Scholar 

  • Lawn BR (1993) Fracture of brittle solids, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  • Li H, Yin G, Xu J, Zhang W (1988) Rock fracture mechanics. Chongqing University Press

    Google Scholar 

  • Meissner R, Kusznir NJ (1987) Crustal viscosity and the reflectivity of the lower crust. Ann Geophys 5B:365–373

    Google Scholar 

  • Meng ZP, Peng SP, Qu HL (2000) The relationship between rock composition and structure of roof and floor of coal seam and its mechanical properties. Chin J Rock Mech Eng 19(2):136–139

    Google Scholar 

  • Michalske TA, Freiman SW (1982) A molecular interpretation of stress corrosion in silica. Nature 295:511–512

    Article  Google Scholar 

  • Mogi K (1965) Deformation and fracture of rocks under confining pressure. Elasticity and plasticity of some rocks. Bull Earthq Res Inst Tokyo Univ 43:349–379

    Google Scholar 

  • Mogi K (1966) Pressure dependence of rock strength and transition from brittle fracture to ductile flow. Bull Earthq Res Inst Tokyo Univ 44:215–232

    Google Scholar 

  • Mogi K (2007) Experimental rock mechanics. Taylor & Francis, Balkema, pp 37–48

    Google Scholar 

  • MĂĽller L (1981) Rock mechanics (trans: Li S). China Coal Industry Publishing House, Beijing

    Google Scholar 

  • Nicolas A, Poirier JP (1976) Crystalline plasticity and solid state flow in metamorphic rocks. Wiley, New York, London

    Google Scholar 

  • Nicholson RB (1972) Electron microscopy and structure of materials. In: Thomas G (ed) University of California Press, Berkeley, p 689

    Google Scholar 

  • Obrimoff JW (1930) The splitting strength of mica. Proc R Soc Lond 127:290. BaĹľant ZP, Planas J (1998) Fracture and size effect in concrete and other quasibrittle materials. CRC Press, U.S.A.

    Google Scholar 

  • Paterson MS (1958) Experimental deformation and faulting in Wombeyan marble. Bull Geol Soc Am 69:465–467

    Article  Google Scholar 

  • Paterson MS (1982) Experimental rock deformation-the brittle field (Chinese transition). Geological Publishing House

    Google Scholar 

  • Paterson MS, Wong TF (2005) Experimental rock deformation-the brittle field. Springer, Berlin

    Google Scholar 

  • Ranalli G, Murphy DC (1987) Rheological stratification of the lithosphere. Tectonophysics 132:281–295

    Article  Google Scholar 

  • Rice RW, Freiman SW (1981) Grain-size dependence of fracture energy in ceramics II: a model for noncubic materials. J Am Ceram Soc 64(6):350–354

    Article  Google Scholar 

  • Sibson RH (1977) Fault rock sand fault mechanism. J Geol Soc Lond 13:191–213

    Google Scholar 

  • Sibson RH (1980) Power dissipation and stress levels on faults in the upper crust. J Geophys Res 85:6239–6247

    Article  Google Scholar 

  • Shimada M (1993) Lithosphere strength inferred from fracture strength of rocks at high confining pressures and temperatures. Tectonophysics 217:55–64

    Article  Google Scholar 

  • Watts BM, Stowell MJ, Baikie BL, Owen DGE (1976) Superplasticity in Al-Cu-Zr alloys EM DASH 1. Material preparation and properties. Metal Sci 10(6):197–198

    Google Scholar 

  • Wiederhom SM (1978) Fracture mechanics of ceramics. In: Bradt RC, Hasselman DPH, Lange FF (eds) vol 4. Plenum Press, New York, pp 549–580

    Google Scholar 

  • Wong TF, David C, Zhu W (1997) The transition from brittle faulting to cataclastic flow in porous sandstones: mechanical deformation. J Geophys Res 102:3009–3025

    Article  Google Scholar 

  • Xu X (1998) Preliminary study on mechanical properties and damage characteristics of three gorges granite under temperature action. Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan

    Google Scholar 

  • Xu X, Liu Q (2000) A preliminary study on basic mechanical properties for granite at high temperature. Chin J Rock Mech Eng 22(3):332–335

    Google Scholar 

  • Zuo JP, Liu HH, Li HT (2015) A theoretical derivation of the Hoek-Brown failure criterion for rock materials. J Rock Mech Geotech Eng 7(4):361–366

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianping Zuo .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zuo, J., Shen, J. (2020). The Hoek-Brown Brittle-Ductile Transition Analysis. In: The Hoek-Brown Failure criterion—From theory to application. Springer, Singapore. https://doi.org/10.1007/978-981-15-1769-3_4

Download citation

Publish with us

Policies and ethics