Mohr–Coulomb Failure Criterion

Joseph F. Labuz1, Arno Zang2
1Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, USA
2Section 2.6 Seismic Hazard and Stress Field, GFZ German Research Centre for Geosciences, Telegrafenberg, 14473, Potsdam, Germany

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Tài liệu tham khảo

Al-Ajmi AM, Zimmerman RW (2005) Relation between the Mogi and the Coulomb failure criteria. Int J Rock Mech Min Sci 42:431–439

Andreev GE (1995) Brittle Failure of Rock Material. Balkema, Rotterdam

Benz T, Schwab R (2008) A quantitative comparison of six rock failure criteria. Int J Rock Mech Min Sci 42:1176–1186

Chang C, Haimson BC (2000) True triaxial strength and deformability of the German Continental deep drilling program (KTB) deep hole amphibolite. J Geophys Res 105:8999–9013

Colmenares LB, Zoback MD (2002) A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks. Int J Rock Mech Min Sci 39:695–729

Coulomb CA (1776) Sur une application des regles maximis et minimis a quelques problems de statique, relatives a l’architecture. Acad Sci Paris Mem Math Phys 7:343–382

Das SK, Basudhar PK (2009) Comparison of intact rock failure criteria using various statistical methods. Acta Geotech 4:223–231

Dehler W, Labuz JF (2007) Stress path testing of an anisotropic sandstone. J Geotech Eng 133(1):116–119

Drescher A (1991) Analytical Methods in Bin-Load Analysis. Elsevier Science, Amsterdam

Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Mech 10(2):157–164

Heyman J (1972) Coulomb’s Memoir on Statics. Cambridge University Press, London

Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion–2002 Edition. Proc 5th N Am Symp NARMS-TAC, Toronto

Jaeger JC, Cook NGW (1979) Fundamentals of Rock Mechanics, 3rd edn. Chapman & Hall, London

Labuz JF, Bridell JM (1993) Reducing frictional constraint in compression testing through lubrication. Int J Rock Mech Min Sci Geomech Abstr 30(4):451–455

Landolt-Börnstein (1982) Numerical data and functional relationships in science and technology. In: Angenheister G (ed) Physical properties of rocks. Springer, Berlin, p 1b

Meyer JP, Labuz JF (2012) Linear failure criteria with three principal stresses. Int J Rock Mech Min Sci, Submitted

Mogi K (1971) Fracture and flow of rocks under high triaxial compression. J Geophys Res 76(5):1255–1269

Mogi K (1974) On the pressure dependence of strength of rocks and the Coulomb fracture criterion. Tectonophysics 21:273–285

Mogi K (2007) Experimental rock mechanics. Taylor & Francis Group, London

Mohr O (1900) Welche Umstände bedingen die Elastizitätsgrenze und den Bruch eines Materials? Zeit des Ver Deut Ing 44:1524–1530

Nadai A (1950) Theory of flow and fracture of solids. McGraw Hill, New York

Pariseau WG (2007) Fitting failure criteria to laboratory strength tests. Int J Rock Mech Min Sci 44:637–646

Paterson MS, Wong T-f (2005) Experimental rock deformation—the brittle field, 2nd edn. Springer-Verlag, Berlin

Paul B (1961) Modification of the Coulomb–Mohr theory of fracture. J Appl Mech 28:259–268

Paul B (1968) Generalized pyramidal fracture and yield criteria. Int J Solids Struct 4:175–196

Paul B, Gangal M (1967) Initial and subsequent fracture curves for biaxial compression of brittle materials. In: Fairhurst C (ed) Failure and breakage of rock, Proc 8th Symp Rock Mech. University of Minnesota, MN, pp 113–141

Pincus H (2000) Closed-form/least-squares failure envelopes for rock strength. Int J Rock Mech Min Sci 37:763–785

Shield RT (1955) On Coulomb’s law of failure in soils. J Mech Phys Sol 4:10–16

Takahashi M, Koide H (1989) Effect of intermediate principal stress on strength and deformation behavior of sedimentary rocks at the depth shallower than 2000 m. In: Maury V, Fourmaintraux D (eds) Rock at Great Depth, vol 1. Balkema, Rotterdam, pp 19–26

Vardoulakis I, Labuz JF, Papamichos E, Tronvoll J (1998) Continuum fracture mechanics of uniaxial compression of brittle materials. Int J Solids Struct 35:4313–4335

Vutukuri VS, Lama RD, Saluja D (1974) Handbook on the mechanical properties of rocks. Trans Tech Pub, Clausthal