A Novel Mohr–Coulomb–Matsuoka–Nakai Strength Criterion for Rocks Considering Brittle–Ductile Domain.
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| Title: | A Novel Mohr–Coulomb–Matsuoka–Nakai Strength Criterion for Rocks Considering Brittle–Ductile Domain. |
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| Authors: | Liu, Jiacun1 (AUTHOR), Xiao, Junjie1 (AUTHOR), Li, Xing2 (AUTHOR), Cao, Zhuokang1 (AUTHOR), Xu, Ying1 (AUTHOR) maggie_xu@tju.edu.cn |
| Source: | Rock Mechanics & Rock Engineering. Dec2024, Vol. 57 Issue 12, p11033-11048. 16p. |
| Subjects: | Graphical projection, Hydrostatic pressure, Nonlinear functions, Hydrostatic stress, Curvature |
| Abstract: | A novel three-dimensional strength criterion for rocks is proposed by combining the nonlinear meridian function and a generalized deviatoric function with two parameters. The nonlinear meridian function is based on the modified Mohr–Coulomb criterion, which can describe the increase and decrease in deviatoric stress with increasing hydrostatic pressure. The generalized deviatoric function with two parameters is based on the Matsuoka–Nakai criterion, which satisfies the requirements of convexity and smoothness. Two parameters in the deviatoric function jointly control the aspect ratio and curvature. To verify the accuracy of the proposed strength criterion, two representative sets of true triaxial experimental data in the brittle–ductile domain, namely, data from the Coconino sandstone and Bentheim sandstone, were selected from the literature. A detailed procedure for determining the parameters of strength criterion, which allows the strength criterion to accurately capture the variations of deviatoric plane, is proposed. The projection of the three-dimensional failure envelope in the meridian plane can capture the evolution process of the deviatoric stress well. The experimental data are evenly distributed on the sides of the failure envelope in the principal stress space. Highlights: A novel three-dimensional strength criterion considering the brittle–ductile domain is proposed by combining the nonlinear meridian function and the generalized deviatoric function. The nonlinear meridian function of three-dimensional strength criterion is based on the modified Mohr–Coulomb criterion. The generalized deviatoric function with two parameters is based on the Matsuoka–Nakai criterion, which satisfies the requirements of convexity and smoothness. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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