Brittle failure of rock: A review and general linear criterion

Labuz, Joseph F.; Zeng, Feitao; Makhnenko, Roman; Li, Yuan

doi:10.1016/j.jsg.2018.04.007

Title: Brittle failure of rock: A review and general linear criterion

Journal Article · Wed Apr 11 00:00:00 EDT 2018 · Journal of Structural Geology

DOI:https://doi.org/10.1016/j.jsg.2018.04.007· OSTI ID:1538551

^[1]; Zeng, Feitao ^[2];

^[3]; Li, Yuan ^[4]

Univ. of Minnesota, Minneapolis, MN (United States)
Univ. of Minnesota, Minneapolis, MN (United States); Dalian University of Technology, Dalian (China)
Univ. of Illinois at Urbana-Champaign, IL (United States)
Univ. of Science and Technology of China, Beijing (China)

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 $$\phi$$_e and isotropic tensile strength V₀. 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. Finally, the particular nature of the failure surface is dictated by the experimental data.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE)

Grant/Contract Number:: FE0002020

OSTI ID:: 1538551

Alternate ID(s):: OSTI ID: 1582979

Journal Information:: Journal of Structural Geology, Vol. 112, Issue C; ISSN 0191-8141

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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Title: Brittle failure of rock: A review and general linear criterion

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