### Abstract

An earlier publication^{1} 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 language | English (US) |
---|---|

Pages (from-to) | 497-504 |

Number of pages | 8 |

Journal | International Journal for Numerical and Analytical Methods in Geomechanics |

Volume | 12 |

Issue number | 5 |

DOIs | |

State | Published - Jan 1 1988 |

### All Science Journal Classification (ASJC) codes

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

## Fingerprint Dive into the research topics of 'The properties of anisotropic conical failure surfaces in relation to the Mohr–Coulomb criterion'. Together they form a unique fingerprint.

## Cite this

*International Journal for Numerical and Analytical Methods in Geomechanics*,

*12*(5), 497-504. https://doi.org/10.1002/nag.1610120504