The properties of anisotropic conical failure surfaces in relation to the Mohr–Coulomb criterion

D. V. Griffiths, Jean-Herve Prevost

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Abstract

An earlier publication1 considered the properties of circular conical failure surfaces whose axes coincide with the space diagonal in principal stress space. The present work uses a similar approach to analyse conical surfaces that are offset from the space diagonal. It is shown that cones fitted to the Mohr–Coulomb surface in triaxial compression contain a potential singularity. The occurrence and location of the singularity depends on the Mohr–Coulomb friction angle to which the surface is fitted in triaxial extension. It is shown that for a cone fitted to the same friction angle in both triaxial extension and compression, singular conditions occur when that angle reaches \documentclass{article}\pagestyle{empty}\begin{document}$ \sin ^{ - 1} \left({\sqrt 7 - 2} \right)\left({ = 40.22^\circ } \right) $\end{document}. Even cones fitted to smaller friction angles give significant overestimations of material strength for certain stress paths.

Original languageEnglish (US)
Pages (from-to)497-504
Number of pages8
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume12
Issue number5
DOIs
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials

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