Paul‐Mohr‐Coulomb failure surface of rock in the brittle regime
- Department of Civil, Environmental, and Geo‐Engineering University of Minnesota, Twin Cities Minneapolis Minnesota USA, Soil Mechanics Laboratory‐Chair “Gaz Naturel” Petrosvibri, School of Architecture, Civil and Environmental Engineering Swiss Federal Institute of Technology Lausanne Switzerland
- Department of Civil, Environmental, and Geo‐Engineering University of Minnesota, Twin Cities Minneapolis Minnesota USA
The Paul‐Mohr‐Coulomb failure criterion includes the intermediate principal stress σ II and friction angles at the limiting stress states of σ II = σ III and σ II = σ I , where σ I and σ III are major and minor principal stresses. Conventional triaxial compression ( σ II = σ III ), extension ( σ II = σ I ), and plane strain ( σ I ≠ σ II ≠ σ III ) experiments were performed on dry rock. The failure data were plotted in principal stress space, and material parameters were determined in the context of two internal friction angles and the theoretical uniform triaxial (all‐around equal) tensile strength. Assuming isotropy, the triaxial compression and extension results were used to construct a six‐sided pyramidal failure surface, and the extension friction angle was larger than the compression friction angle, a sufficient but not necessary condition of the intermediate stress effect. To capture the behavior of the rock in multiaxial loading, the Paul‐Mohr‐Coulomb criterion was extended to form a 12‐sided pyramid with best fit planes.
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- FE0002020
- OSTI ID:
- 1402193
- Journal Information:
- Geophysical Research Letters, Journal Name: Geophysical Research Letters Journal Issue: 17 Vol. 42; ISSN 0094-8276
- Publisher:
- American Geophysical Union (AGU)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Similar Records
Critical review of the Mogi failure criterion based on true-triaxial laboratory data analysis and theoretical considerations