Drucker-Prager criterion

Rock Mechanics and Rock Engineering

Volumn 45, Issue 6, 2012, Pages 995-999

  Alejano, Leandro R ^a   Bobet, Antonio ^b  

^a UNIVERSITY OF VIGO   (Spain)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRUCKER-PRAGER; FAILURE CRITERIA; INTACT ROCKS; MATERIAL CONSTANT; MINOR PRINCIPAL STRESS; NORMAL STRESS; OCTAHEDRAL SHEAR STRESS; ROCK STRENGTH; STRESS STATE; TRIAXIAL EXTENSION; ULTIMATE STRENGTH;

ERRORS;

THREE DIMENSIONAL;

FAILURE MECHANISM; NUMERICAL MODEL; PRESSURE EFFECT; STRENGTH; STRESS-STRAIN RELATIONSHIP; THREE-DIMENSIONAL MODELING; TRIAXIAL TEST;

EID: 84870238875     PISSN: 07232632     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00603-012-0278-2     Document Type: Article

References (30)

1. Addis MA, Wu B (1993) The role of the intermediate principal stress in wellbore stability studies: evidence from hollow cylinder tests. Int J Rock Mech Min Sci Geomech Abstr 30(7):1027-1030
2. Al-Ajmi AM, Zimmerman RW (2005) Relation between the Mogi and the Coulomb failure criteria. Int J Rock Mech Min Sci 42(3):431-439 (Pubitemid 40405101)
3. Al-Ajmi AM, Zimmerman RW (2006) Stability analysis of vertical boreholes using the Mogi-Coulomb failure criterion. Int J Rock Mech Min Sci 43(8):1200-1211 (Pubitemid 44364243)
4. Aubertin M, Simon R (1996) A multiaxial failure criterion that combines two quadratic surfaces. In: Aubertin M, Hassani F, Mitri H (eds) Rock mechanics - tools and techniques. Proceedings of second North American rock mechanical symposium, Montreal. A.A. Balkema, Rotterdam, pp 1729-1736
5. Aubertin M, Li L, Simon R, Khalfi S (1999) Formulation and application of a short-term strength criterion for isotropic rocks. Can Geotech J 36(5):947-960 (Pubitemid 30218437)
6. Chang C, Haimson B (2000) True triaxial strength and deformability of the German Continental Deep Drilling Program (KTB) deep hole amphibolite. J Geophys Res 105(B8):18999-19013
7. Cividini A (1993) Constitutive behaviour and numerical modelling. In: Hudson J (ed) Comprehensive rock engineering, vol 1. Pergamon Press, Oxford, pp 395-426
8. Colmenares LB, Zoback MD (2001) Statistical evaluation of six rock failure criteria constrained by polyaxial test data. In: Elsworth D, Tinucci JP, Heasly KA (eds) Rock mechanics in the national interest. Proceedings of 38th US rock mechanics symposium, Washington DC. A.A. Balkema, Lisse, pp 1251-1258
9. 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(6):695-729
10. Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Math 10:157-165
11. Ewy RT (1999) Wellbore-stability predictions by use of a modified Lade criterion. SPE Drill Compl 14(2):85-91 (Pubitemid 29421328)
12. Hadjigeorgiou J, Ghanmi A, Paraszczak J (1998) 3-D numerical modelling of radial-axial rock splitting. Geotech Geol Eng 16(1):45-57
13. Haimson B, Chang C (2000) A new true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite. Int J Rock Mech Min Sci 37(1-2):285-296 (Pubitemid 30627084)
14. Li L, Gamache M, Aubertin M (2000) Parameter determination for nonlinear stress criteria using simple regression model. Can Geotech J 37(6):1332-1347
15. Lubarda VA, Mastilovic S, Knap J (1996) Brittle-ductile transition in porous rocks by cap model. J Eng Mech 122(7):633-642
16. Michelis P (1985) Polyaxial yielding of granular rock. J Eng Mech 111(8):1049-1066
17. Michelis P (1987) True triaxial cyclic behavior of concrete and rock in compression. Int J Plas 3(2):249-270 (Pubitemid 17653536)
18. Mogi K (1967) Effect of the intermediate principal stress on rock failure. J Geophys Res 72(20):5117-5131
19. Mogi K (1971) Fracture and flow of rocks under high triaxial compression. J Geophys Res 76(5):1255-1269
20. Nadai A (1950) Theory of flow and fracture of solids, vol 1. McGraw- Hill, New York
21. Pariseau WG (1972) Plasticity theory for anisotropic rocks and soils. In: Grey KE (ed) Basic and applied rock mechanics. Proceedings of the tenth US rock mechanics symposium, NY SME/AIME, pp 267-295
22. Pariseau WG (2007) Fitting failure criteria to laboratory strength tests. Int J Rock Mech Min Sci 44(4):637-646
23. Priest SD (2005) Determination of shear strength and three-dimensional yield strength for the Hoek-Brown criterion. Rock Mech Rock Eng 38(4):299-327 (Pubitemid 41164984)
24. Priest SD (2010) Comparisons between selected three-dimensional yield criteria applied to rock. RockMech Rock Eng 43(4):379-389
25. Schwartz AE (1964) Failure of rock in the triaxial shear test. In: Spokes EM, Christiansen CR (eds) Proceedings of sixth US symposium on rock mechanics. University of Missouri, Rolla, pp 109-151
26. Takahashi M, Koide H (1989) Effect of the 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 I. A.A. Balkema, Rotterdam, pp 19-26
27. Vermeer PA, De Borst R (1984) Non associated plasticity for soils, concrete and rock. Heron 29:3-64
28. Yi X, Valkó PP, Russell JE (2005) Effect of rock strength criterion on the predicted onset of sand production. Int J Geomech 5(1):66-73 (Pubitemid 40323143)
29. Yi X, Ong S, Russell JE (2006) Quantifying the effect of rock strength criteria on minimum drilling mud weight prediction using polyaxial rock strength test data. Int J Geomech 6(4):260-268 (Pubitemid 44070199)
30. Yu M-H (2002) Advances in strength theories for materials under complex stress state in the 20th century. App Mech Rev 55(3):169-218 (Pubitemid 40210955)