Brittle failure of rock: A review and general linear criterion

Published on Jul 1, 2018in Journal of Structural Geology3.571
· DOI :10.1016/J.JSG.2018.04.007
Joseph F. Labuz32
Estimated H-index: 32
(UMN: University of Minnesota),
Feitao Zeng5
Estimated H-index: 5
(DUT: Dalian University of Technology)
+ 1 AuthorsYuan Li3
Estimated H-index: 3
(USTB: University of Science and Technology Beijing)
Sources
Abstract
Abstract 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 ϕ c and extension ϕ e 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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References114
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AbstractPaul-Mohr-Coulomb (PMC) failure criterion provides enhanced representations of pyramidal failure surfaces, with recognizable material parameters, by considering all three principal stresses...
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