A note on the differences between Drucker-Prager and Mohr-Coulomb shear strength criteria

• Autorzy: Wojciechowski M.

Identyfikatory

DOI

10.2478/sgem-2018-0016

• Języki publikacji: EN

Abstrakty

EN

A systematic approach to measure the differences between Mohr-Coulomb (MC) and Drucker-Prager (DP) shear strength criteria used commonly in soil and rock mechanics is presented. It is shown that the DP criterion generates a shear strength between 0.6 and 3 times the MC strength, for the same friction angle and cohesion parameters. The appropriate conditions for obtaining equal shear strengths are given. Moreover, some new DP failure surfaces are proposed which minimize the differences relative to the MC predictions. The equivalence of the DP and MC criteria under plane strain conditions is also examined.

Słowa kluczowe

EN

Mohr-Coulomb; Drucker-Prager; elasto-plasticity; shear strength; plane strain conditions

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2018
• Tom: Vol. 40, nr 3
• Strony: 163--169
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Wojciechowski M.

• Faculty of Civil Engineering, Architecture and Environmental Engineering, Technical University of Łódź, Al. Politechniki 6, 90-924 Łódź, Poland

Bibliografia

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• [5] Griffiths, D. and Huang, J. (2009). Observations on the extended Matsuoka–Nakai failure criterion. International Journal for Numerical and Analytical Methods in Geomechanics, 33(17):1889-1905.
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• [8] Maiolino, S., and Luong, M. P. (2009). Measuring discrepancies between Coulomb and other geotechnical criteria: Drucker-Prager and Matsuoka-Nakai. In proceedings of the 7th Euromech Solid Mechanics Conference, Lisbon, Portugal.
• [9] Mogi, K. (1971). Fracture and flow of rocks under high triaxial compression. Journal of Geophysical Research, 76(5):1255-1269.
• [10] Sawicki, A. and Sławińska, J. (2012). A study on modelling the plane strain behaviour of sand and its stability. Archives of Hydro-Engineering and Environmental Mechanics 59(3-4):85-100.
• [11] Tian, C. (2009). The ratio of out-of-plane to in-plane stresses for plane strain problems. Meccanica 44(1):105-107.