The application of a Matsuoka-Nakai-Lade-Duncan failure criterion to two porous sandstones

Xiaodong Ma*, John W. Rudnicki, Bezalel C. Haimson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


We summarize two suites of recent true triaxial tests in two porous sandstones, Coconino and Bentheim. One suite of tests conducted under constant σ2 and σ3, which revealed the effect of σ2 and σ3 on rock failure. The other suite of tests, performed under constant Lode angle, determined the failure dependencies on mean stress and Lode angle. Building and modifying failure descriptions by Matsuoka-Nakai (MN) and Lade-Duncan (LD), an explicit failure criterion (modified-MNLD) that generalizes a class of failure forms is used to fit the novel loading path data of both sandstones. The determined failure descriptions fit both rocks well over a wide range of failure conditions. Then, the generated failure descriptions were further used to predict failure conditions under the constant σ2 and σ3 loading path. The predictions by the modified-MNLD are generally consistent with these data. The predictions also successfully replicated the variation of σ1,peak with σ2 under constant σ3, suggesting the potential of the modified-MNLD to clarify the effect of σ2 on rock failure.

Original languageEnglish (US)
Pages (from-to)9-18
Number of pages10
JournalInternational Journal of Rock Mechanics and Mining Sciences
StatePublished - Feb 1 2017


  • Failure criterion
  • Lade-Duncan
  • Matsuoka-Nakai
  • Porous sandstones
  • True-triaxial tests

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology


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