A new Hoek-Brown-Matsuoka-Nakai failure criterion for rocks

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In the current paper, we propose a new three-dimensional strength criterion for rocks expressed in terms of the first principal stress invariant, I1, and the second and third invariants of the deviatoric stress tensor, J2 and J3. The design of this constitutive model conjugates the characteristics of two of the most well-known and widely used criteria in geotechnical engineering: Hoek-Brown and Matsuoka-Nakai. Its material parameters can be calibrated based on conventional axisymmetric compression and extension tests. Experimental polyaxial test data from a dozen different rock types were used to validate the current criterion.
Original languageEnglish
Article number105602
Number of pages13
JournalInternational Journal of Rock Mechanics and Mining Sciences
Publication statusPublished - Dec 2023


  • Hoek-Brown criterion
  • Matsuoka-Nakai criterion
  • Rock strength
  • Three-dimensional failure


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