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Effect of intermediate principal stress on strength of soft rock under complex stress states

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Abstract

A series of numerical simulations of conventional and true triaxial tests for soft rock materials using the three-dimensional finite difference code FLAC3D were presented. A hexahedral element and a strain hardening/softening constitutive model based on the unified strength theory (UST) were used to simulate both the consolidated-undrained (CU) triaxial and the consolidated-drained (CD) true triaxial tests. Based on the results of the true triaxial tests simulation, the effect of the intermediate principal stress on the strength of soft rock was investigated. Finally, an example of an axial compression test for a hard rock pillar with a soft rock interlayer was analyzed using the two-dimensional finite difference code FLAC. The CD true triaxial test simulations for diatomaceous soft rock suggest the peak and residual strengths increase by 30% when the effect of the intermediate principal stress is taken into account. The axial compression for a rock pillar indicated the peak and residual strengths increase six-fold when the soft rock interlayer approached the vertical and the effect of the intermediate principal stress is taken into account.

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References

  1. International Society for Rock Mechanics (ISRM). Rock characterization, testing and monitoring-isrm suggested methods [M], BROWN E T (Editor). Oxford: Pergamon Press, 1981: 73–79.

  2. AGUSTAWIJAYA D S. The Uniaxial compressive strength of soft rock [J]. Civil Engineering Dimension, 2007, 9(1): 9–14.

    Google Scholar 

  3. FU Y K, IWATA M K, DING Wen-qi, ZHANG Feng, YASHIMA A. An elastoplastic model for soft sedimentary rock considering inherent anisotropy and confining-stress dependency [J]. Soils and Foundations, 2012, 52(4): 575–589

    Article  Google Scholar 

  4. LIAO Hong-jian, SU Li-jun, PU Wu-chuan, YIN Jian-hua. Test and numerical analysis of the constitutive relation of a diatomaceous soft rock [J]. Marine Georesources and Geotechnology, 2003, 21(1): 183–200.

    Article  Google Scholar 

  5. LIAO Hong-jian, PU Wu-chuan, YIN Jian-hua, AKAISHI M, TONOSAKI A. Numerical modeling of the effect of strain rate on the stress-strain relation for soft rock using a 3-D elastic visco-plastic model [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(3): 423–423.

    Article  Google Scholar 

  6. FENG Xia-ting, LI Shao-jun, LIAO Hong-jian, YANG Cheng-xiang. Identification of non-linear stress-strain-time relationship of soils using genetic algorithm [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2002, 26(8): 815–830.

    Article  MATH  Google Scholar 

  7. YOU Ming-qing. True-triaxial strength criteria for rock [J]. International Journal of Rock Mechanics & Mining Sciences, 2009, 46(1): 115–127.

    Article  Google Scholar 

  8. GREEN G E, BISHOP A W. A note on the drained strength of sand under generalized strain conditions [J]. Geotechnique, 1969, 19(1): 144–149.

    Article  Google Scholar 

  9. LADE P V. Failure criterion for cross-anisotropic soils [J]. Journal of Geotechnical and Geoenvironmental Engineering ASCE, 2008, 134(1): 117–124.

    Article  Google Scholar 

  10. DU Xiu-li, LU De-chun, GONG Qiu-ming, ZHAO Mi. Nonlinear unified strength criterion for concrete under three-dimensional stress states [J]. Journal of Engineering Mechanics ASCE, 2010, 136(1), 51–59.

    Article  Google Scholar 

  11. YU Mao-hong. Advances in strength theories for materials under complex stress state in the 20th century [J]. Applied Mechanics Reviews ASME, 2002, 55(3): 169–218.

    Article  Google Scholar 

  12. YU Mao-hong. Unified strength theory and its applications [M]. Berlin: Springer, 2004: 18–172.

    Book  Google Scholar 

  13. VERMEER P A, R DE BORST. Non-associated plasticity for soils concrete and rock [J]. Heron, 1984, 29(3): 3–64.

    Google Scholar 

  14. YU Mao-hong, Li Jian-chun. Computational plasticity: With emphasis on the application of the unified strength theory [M]. Berlin: Springer, 2012: 81–95.

    Google Scholar 

  15. YU Mao-hong, YANG Song-yan, FAN S C, Ma Guo-wei. Unified elasto-plastic associated and non-associated constitutive model and its engineering applications [J]. Computers and Structures, 1999, 71(6): 627–636.

    Article  Google Scholar 

  16. GAO Yan-fa, TAO Zhen-yu. Examination and analysis of true triaxial compression testing of strength criteria of rock [J]. Chinese Journal of Geotechnical Engineering, 1993, 15(4): 26–32. (in Chinese)

    Google Scholar 

  17. SUN Hong, YUAN Ju-yun, ZHAO Xi-hong. Study on soft soil by the true triaxial tests [J]. Journal of Hydraulic Engineering, 2002, 1(12): 74–78. (in Chinese)

    Google Scholar 

  18. ITASCA CONSULTING GROUP. FLAC-Fast lagrangian analysis of continua (Version 6.0) user’s manual [R]. Minneapolis, 2008.

    Google Scholar 

  19. ITASCA CONSULTING GROUP. FLAC3D-Fast lagrangian analysis of continua in 3 Dimensions (Version 4.0) user’s manual [R]. Minneapolis, 2008.

    Google Scholar 

  20. MA Zong-yuan, LIAO Hong-jian, DANG Fa-ning. Unified elastoplastic finite difference and its application [J]. Applied Mathematics and Mechanics, 2013, 34(4): 457–474.

    Article  MathSciNet  Google Scholar 

  21. KOITER W T. Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with singular yield surface [J]. Quarterly of Applied Mathematics, 1953, 11(1): 350–354.

    MATH  MathSciNet  Google Scholar 

  22. PREVOST J H, HOEG K. Soil mechanics and plasticity analysis of strain softening [J]. Geotechnique, 1975, 25(2): 279–297.

    Article  Google Scholar 

  23. ABELEV A V, LADE P V. Effects of cross anisotropy on three-dimensional behavior of sand, I: Stress-strain behavior and shear banding [J]. Journal of Engineering Mechanics, 2003, 129(2): 167–174.

    Article  Google Scholar 

  24. LI Xi-bing, WANG Qi-sheng, YAO Jin-rui, ZHAO Guo-yan. Chaotic time series prediction for surrounding rock’s deformation of deep mine lanes in soft rock [J]. Journal of Central South University of Technology, 2008, 15(2): 224–229.

    Article  Google Scholar 

  25. HE Jiang, DOU Lin-ming. Gradient principle of horizontal stress inducing rock burst in coal mine [J]. Journal of Central South University, 2012, 19(10): 2926–2932.

    Article  Google Scholar 

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Correspondence to Zong-yuan Ma  (马宗源).

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Foundation item: Projects(41172276, 51279155) supported by the National Natural Science Foundation of China; Projects(106-00X101, 106-5X1205) supported by the Central Financial Funds for the Development of Characteristic Key Disciplines in Local University, China

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Ma, Zy., Liao, Hj. & Dang, Fn. Effect of intermediate principal stress on strength of soft rock under complex stress states. J. Cent. South Univ. 21, 1583–1593 (2014). https://doi.org/10.1007/s11771-014-2099-9

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  • DOI: https://doi.org/10.1007/s11771-014-2099-9

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