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Paul‐Mohr‐Coulomb failure surface of rock in the brittle regime
Author(s) -
Makhnenko Roman Y.,
Harvieux Justice,
Labuz Joseph F.
Publication year - 2015
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1002/2015gl065457
Subject(s) - mohr–coulomb theory , isotropy , context (archaeology) , hoek–brown failure criterion , brittleness , compression (physics) , friction angle , ultimate tensile strength , geotechnical engineering , stress (linguistics) , anisotropy , coulomb , materials science , limiting , plane stress , stress space , geometry , geology , constitutive equation , structural engineering , physics , mathematics , composite material , engineering , finite element method , mechanical engineering , paleontology , linguistics , philosophy , quantum mechanics , rock mass classification , electron
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.