DOI QR코드

DOI QR Code

Estimation of rock tensile and compressive moduli with Brazilian disc test

  • Wei, Jiong (Department of Engineering Mechanics and CNMM, School of Aerospace Engineering, Tsinghua University) ;
  • Niu, Leilei (Center of Rock Instability and Seismicity Research, School of Resources and Civil Engineering, Northeastern University) ;
  • Song, Jae-Joon (Department of Energy Resources Engineering, Research Institute of Energy and Resources, Seoul National University) ;
  • Xie, Linmao (Department of Energy Resources Engineering, Research Institute of Energy and Resources, Seoul National University)
  • 투고 : 2018.11.19
  • 심사 : 2019.11.14
  • 발행 : 2019.11.20

초록

The elastic modulus is an important parameter to characterize the property of rock. It is common knowledge that the strengths of rocks are significantly different under tension and compression. However, little attention has been paid to the bi-modularity of rock. To validate whether the rock elastic moduli in tension and compression are the same, Brazilian disc, direct tension and compression tests were conducted. A horizontal laser displacement meter and a pair of vertical and transverse strain gauges were applied. Four types of materials were tested, including three types of rock materials and one type of steel material. A comprehensive comparison of the elastic moduli based on different experimental results was presented, and a tension-compression anisotropy model was proposed to explain the experimental results. The results from this study indicate that the rock elastic modulus is different under tension and compression. The ratio of the rock elastic moduli under compression and tension ranges from 2 to 4. The rock tensile moduli from the strain data and displacement data are approximate. The elastic moduli from the Brazilian disc test are consistent with those from the uniaxial tension and compression tests. The Brazilian disc test is a convenient method for estimating the tensile and compressive moduli of rock materials.

키워드

과제정보

연구 과제 주관 기관 : Korea Institute of Energy Technology Evaluation and Planning (KETEP)

참고문헌

  1. Carneiro, F. (1943), "A new method to determine the tensile strength of concrete", Proceedings of the 5th meeting of the Brazilian Association for Technical Rules.
  2. Carneiro, F.L.L.B. (1943), "A new method to determine the tensile strength of concrete", Proceedings of the 5th meeting of the Brazilian Association for Technical Rules.
  3. Chen, Y.L. and Irfan, M. (2018), "Experimental study of Kaiser effect under cyclic compression and tension tests", Geomech. Eng., 14(2), 203-209. https://doi.org/10.12989/gae.2018.14.2.203.
  4. Cho, J.W., Kim, H., Jeon, S. and Min, K.B. (2012), "Deformation and strength anisotropy of Asan gneiss, Boryeong shale, and Yeoncheon schist", Int. J. Rock Mech. Min. Sci., 50, 158-169. http://dx.doi.org/10.1016%2Fj.ijrmms.2011.12.004. https://doi.org/10.1016/j.ijrmms.2011.12.004
  5. Dai, F. and Xia, K. (2010), "Loading rate dependence of tensile strength anisotropy of barre granite", Pure Appl. Geophys., 167(11), 1419-1432. https://doi.org/10.1007/s00024-010-0103-3.
  6. Fairhurst, C. (1964), "On the validity of the 'Brazilian' test for brittle materials", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 1(4), 535-546. https://doi.org/10.1016/0148-9062(64)90060-9.
  7. Gong, F.Q., Li, X.B. and Zhao, J. (2010), "Analytical algorithm to estimate tensile modulus in Brazilian disk splitting tests", Chin. J. Rock Mech. Eng., 29(5), 881-891.
  8. Hondros, G. (1959), "The evaluation of Poisson's ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete", Austr. J. Appl. Sci., 10(3), 243-268.
  9. Hudson, J.A., Brown, E.T. and Rummel, F. (1972), "The controlled failure of rock discs and rings loaded in diametral compression", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 9(2), 241-248. https://doi.org/10.1016/0148-9062(72)90025-3.
  10. Jaeger, J.C., Cook, N.G.W. and Zimmerman, R. (2007), Fundamentals of Rock Mechanics, 4th Edition, Wiley-Blackwell.
  11. Jiang, C., Zhao, G.F. and Khalili, N. (2017), "On crack propagation in brittle material using the distinct lattice spring model", Int. J. Solids Struct., 118-119, 41-57. https://doi.org/10.1016/j.ijsolstr.2017.04.024.
  12. Jung, Y.B., Cheon, D.S., Park, E.S., Chan, P., Lee, Y.S., Park, C.W. and Choi, B.H. (2014), "Estimation of the characteristics of delayed failure and long-term strength of granite by brazilian disc test", Tunn. Undergr. Sp., 24(1), 67-80. https://doi.org/10.7474/TUS.2014.24.1.067.
  13. Li, D.Y. and Wong, L.N.Y. (2013), "The Brazilian disc test for rock mechanics applications: Review and new insights", Rock Mech. Rock Eng., 46(2), 269-287. https://doi.org/10.1007/s00603-012-0257-7.
  14. Li, X.F., Li, H.B. and Zhao, J. (2017), "3D polycrystalline discrete element method (3PDEM) for simulation of crack initiation and propagation in granular rock", Comput. Geotech., 90, 96-112. https://doi.org/10.1016/j.compgeo.2017.05.023.
  15. Liu, Y., Dai, F., Xu, N., Zhao, T. and Feng, P. (2018), "Experimental and numerical investigation on the tensile fatigue properties of rocks using the cyclic flattened Brazilian disc method", Soil Dyn. Earthq. Eng., 105, 68-82. https://doi.org/10.1016/j.soildyn.2017.11.025.
  16. Newman, D.A. and Bennett, D.G. (1990), "The effect of specimen size and stress rate for the Brazilian test-A statistical analysis", Rock Mech. Rock Eng., 23(2), 123-134. https://doi.org/10.1007/BF01020397.
  17. Patel, S. and Martin, C.D. (2018), "Evaluation of tensile Young's modulus and Poisson's ratio of a bi-modular rock from the displacement measurements in a Brazilian test", Rock Mech. Rock Eng., 51(2), 361-373. https://doi.org/10.1007/s00603-017-1345-5.
  18. Roy, D.G. and Singh, T.N. (2016), "Effect of heat treatment and layer orientation on the tensile strength of a crystalline rock under Brazilian test condition", Rock Mech. Rock Eng., 49(5), 1663-1677. https://doi.org/10.1007/s00603-015-0891-y.
  19. Timoshenko, S.P. and Goodier, J.N. (2013), Theory of Elasticity, Beijing Higher Education Press, Beijing, China.
  20. Wang, P., Cai, M. and Ren, F. (2018), "Anisotropy and directionality of tensile behaviours of a jointed rock mass subjected to numerical Brazilian tests", Tunn. Undergr. Sp. Technol., 73, 139-153. https://doi.org/10.1016/j.tust.2017.12.018.
  21. Wijk, G. (1978), "Some new theoretical aspects of indirect measurements of the tensile strength of rocks", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 15(4), 149-160. https://doi.org/10.1016/0148-9062(78)91221-4.
  22. Yang, Y.T., Tang, X.H., Zheng, H., Liu, Q.S. and He, L. (2016), "Three-dimensional fracture propagation with numerical manifold method", Eng. Anal. Boundary Elem., 72(11), 65-77. https://doi.org/10.1016/j.enganabound.2016.08.008.
  23. Ye, J.H., Wu, F.Q. and Sun, J.Z. (2009), "Estimation of the tensile elastic modulus using Brazilian disc by applying diametrically opposed concentrated loads", Int. J. Rock Mech. Min. Sci., 46(3), 568-576. https://doi.org/10.1016/j.ijrmms.2008.08.004.
  24. Yu, Q.L., Zhu, W.C., Tang, C.A. and Yang, T.H. (2014), "Impact of rock microstructures on failure processes - Numerical study based on DIP technique", Geomech. Eng., 7(4), 375-401. https://doi.org/10.12989/gae.2014.7.4.375.
  25. Zhao, J. and Li, H.B. (2000), "Experimental determination of dynamic tensile properties of a granite", Int. J. Rock Mech. Min. Sci., 37(5), 861-866. https://doi.org/10.1016/S1365-1609(00)00015-0
  26. Zhou, Z.L., Cai, X., Cao, W.Z., Li, X.B. and Xiong, C. (2016), "Influence of water content on mechanical properties of rock in both saturation and drying processes", Rock Mech. Rock Eng., 49(8), 3009-3025. https://doi.org/10.1007/s00603-016-0987-z.
  27. Zhu, W.C. and Tang, C.A. (2004), "Micromechanical model for simulating the fracture process of rock", Rock Mech. Rock Eng., 37(1), 25-56. https://doi.org/10.1007/s00603-003-0014-z.
  28. Zhu, W.C. and Tang, C.A. (2006), "Numerical simulation of Brazilian disk rock failure under static and dynamic loading", Int. J. Rock Mech. Min. Sci., 43(2), 236-252. https://doi.org/10.1016/j.ijrmms.2005.06.008.

피인용 문헌

  1. Estimation of tensile strength and moduli of a tension-compression bi-modular rock vol.24, pp.4, 2021, https://doi.org/10.12989/gae.2021.24.4.349