Encyclopedia of Engineering Geology

Living Edition
| Editors: Peter Bobrowsky, Brian Marker

Mohr-Coulomb Failure Envelope

  • Robert (H. R. G. K.) Hack
Living reference work entry
DOI: https://doi.org/10.1007/978-3-319-12127-7_207-1

Synonym

Definitions

A constitutive model that describes the shear strength of ground.

Exceeding the shear strength results in failure of the ground which can be described by the Mohr-Coulomb Failure Envelope. This is also used, sometimes, as a constitutive model for the shear strength along surfaces of, for example, discontinuities.

Ground materials are diverse and may be gasses, fluids, solids (i.e., minerals, grains, and aggregates of grains or minerals), and any mix. Also, man-made ground, such as fills and waste dump materials, may often be modeled with the Mohr-Coulomb failure envelope. Ground is commonly differentiated in soil and rock, soil being an aggregate of loose or weakly bonded particles, and rock consisting of particles cemented or locked together, giving rock a tensile strength. Soil and rock are by some differentiated based on a compressive strength difference mostly soil being weaker than 1 MPa and rock being stronger. A differentiation...

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References

  1. Arnoldus JGAM (2017) Photograph: JGAM Arnoldus, Leiden, The NetherlandsGoogle Scholar
  2. Bieniawski ZT (1974) Estimating the strength of rock materials. J South Afr Inst Min Metall 74:312–320Google Scholar
  3. Coulomb CA (1776) Essai sur une application des regles des maximis et minimis a quelquels problemesde statique relatifs, a la architecture. Mem Acad Roy Div Sav 7:343–387Google Scholar
  4. Hack HRGK, Price DG, Rengers N (2003) A new approach to rock slope stability – a probability classification (SSPC). B Eng Geol Environ 62(2):167–184Google Scholar
  5. Hencher SR (2015) Practical rock mechanics. CRC, Taylor & Francis Group, Boca RatonGoogle Scholar
  6. Hoek E, Brown ET (1980) Underground excavations in rock. Rev. edn. Institution of Mining and Metallurgy, LondonGoogle Scholar
  7. Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown criterion – 2002 edition. In: Hammah R, Bawden WF, Curran J, Telesnicki M (eds) Mining and Tunnelling innovation and opportunity; 5th North American rock mechanics symposium; 17th Tunnelling Association of Canada Conference; NARMS-TAC 2002, Toronto, 7–10 July 2002. University of Toronto, Toronto, pp 267–273Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Robert (H. R. G. K.) Hack
    • 1
  1. 1.Engineering Geology, ESA, Faculty of Geo-Information Science and Earth Observation (ITC)University of TwenteEnschedeThe Netherlands