Journal
JOURNAL OF STRUCTURAL GEOLOGY
Volume 112, Issue -, Pages 7-28Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsg.2018.04.007
Keywords
Failure criteria; Failure surface; Friction angle; Intermediate stress effect; Multiaxial testing; Triaxial compression; Triaxial extension; True triaxial testing
Categories
Funding
- MSES/Miles Kersten Chair
- China Scholarship Council
- DOE grant [DE-FE0002020]
- NSF grant [CMMI-0825454]
- Itasca Consulting Inc.
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A failure criterion typically is phenomenological since few models exist to theoretically derive the mathematical function. Indeed, a successful failure criterion is a generalization of experimental data obtained from strength tests on specimens subjected to known stress states. For isotropic rock that exhibits a pressure dependence on strength, a popular failure criterion is a linear equation in major and minor principal stresses, independent of the intermediate principal stress. A general linear failure criterion called Paul-Mohr-Coulomb (PMC) contains all three principal stresses with three material constants: friction angles for axisymmetric compression phi(c), and extension phi(c) and isotropic tensile strength V-0. PMC provides a framework to describe a nonlinear failure surface by a set of planes hugging the curved surface. Brittle failure of rock is reviewed and multiaxial test methods are summarized. Equations are presented to implement PMC for fitting strength data and determining the three material parameters. A piecewise linear approximation to a nonlinear failure surface is illustrated by fitting two planes with six material parameters to form either a 6- to 12-sided pyramid or a 6- to 12- to 6-sided pyramid. The particular nature of the failure surface is dictated by the experimental data.
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