Rock Mechanics and Rock Engineering

, Volume 52, Issue 8, pp 2551–2568 | Cite as

Determination of Tensile Elastic Parameters from Brazilian Tensile Test: Theory and Experiments

  • Hui LiEmail author
  • Bitao Lai
  • Huihai Liu
Original Paper


Elastic properties of rocks, including Young’s modulus and Poisson’s ratio, are usually obtained from the uniaxial compressive strength (UCS) test, while tensile strength is obtained from direct or indirect (Brazilian) tensile test. In this paper, we developed an analytical model as well as an improved test procedure, called modified Brazilian tensile (MBT) test, which can simultaneously measure the tensile strength, Young’s modulus and Poisson’s ratio in a single test by attaching two strain gauges at the center of each end face of the specimen. To validate the proposed model, both the UCS and modified Brazilian tensile tests were conducted using two types of aluminum alloy (AL 6061 and AL 7075). Results showed that the Young’s modulus obtained from UCS tests and MBT tests are within the range of experimental error. Poisson’s ratios determined from the two test methods were consistent. The proposed model was further validated with Colton sandstones. The Young’s modulus and the Poisson’s ratio obtained from the UCS test and the MBT test agreed well. We also conducted numerical modeling for further comparison, and the results also verified the reasonableness of the proposed model.


Analytical model Modified Brazilian tensile test Rock elastic properties Young’s modulus Poisson’s ratio 



This research was supported by Science Foundation of China University of Petroleum, Beijing (no. 2462017YJRC041 and no. 2462016YJRC033), by the China State Key Laboratory of Petroleum Resources and Prospecting Foundation (no. PRP/indep-04-1608, no. PRP/indep-2-1704 and no. PRP/indep-4-1703), by the Innovation Fund of China National Petroleum Corporation (no. 2017D-5007-0308), and by the National Science and Technology Major Project of China, founding nos. 2016ZX05051 and 2017ZX05030. The authors appreciate Ben Li, Yanhui Han, Zhixing Wang and Xin Zhao for the technical insights and grammar check on this paper. The authors are grateful to Aramco Services Company for permission to publish this work.


  1. Amadei B, Rogers JD, Goodman RE (1983) Elastic constants and tensile strength of anisotropic rocks. International Society for Rock Mechanics and Rock Engineering, pp 189–196Google Scholar
  2. Andreev GE (1991) A review of the Brazilian test for rock tensile strength determination. Part II: calculation formula. Min Sci Technol 13:457–465CrossRefGoogle Scholar
  3. Chau KT, Wei XX (2001) A three-dimensional analytic solution for the Brazilian test. International Society for Rock Mechanics and Rock Engineering, Beijing, China, pp 141–144, 11–14 September 2001Google Scholar
  4. Colback PSB (1966) An analysis of brittle fracture initiation and propagation in the Brazilian test. International Society for Rock Mechanics and Rock Engineering, Lisbon, pp 385–391, 25 September–1 October 1966Google Scholar
  5. Fairhurst C (1964) On the validity of the Brazilian test for brittle materials. Int J Rock Mech Min Sci 1:535–546CrossRefGoogle Scholar
  6. Hadley WO, Hudson WR, Kennedy. TW (1998) A method of estimating tensile properties of materials tested in indirect tension. Research report number 98-7 of evaluation of tensile properties of subbases for use in new rigid pavement designGoogle Scholar
  7. Hondros G (1959) Materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete. Aust J Appl Sci 10(3):243–268Google Scholar
  8. Kwok CY, Duan K (2015) DEM simulation of fracture process of inherently anisotropic rock under Brazilian test condition. American Rock Mechanics Association, San Francisco, pp 1–7, 28 June–1 July 2015Google Scholar
  9. Li DY, Ngai L, Wong Y (2013) The Brazilian disc test for rock mechanics applications: review and new insights. Rock Mech Rock Eng 46:269–287CrossRefGoogle Scholar
  10. Li B, Li H, Guo B, Cai X, Konggidinata M (2017a) A new numerical solution to predict the temperature profile of gas-hydrate-well drilling. Soc Pet Eng. Google Scholar
  11. Li B, Li H, Guo B, Chang X (2017b) Effect of cement sheath induced stress on well integrity assessment in carbon sequestration fields. J Nat Gas Sci Eng 46:132–142. CrossRefGoogle Scholar
  12. Li H, Lai B, Liu H-H, Zhang J, Georgi D (2017c) Experimental Investigation on Brazilian tensile strength of organic-rich gas shale. Soc Pet Eng. Google Scholar
  13. Li B, Zhou F, Li H, Tian Y, Yang X, Zhang Y, Feng Y (2018a) Experimental Investigation on the fracture conductivity of ultra-deep tight gas reservoirs: especially focus on the unpropped fractures. American Rock Mechanics Association, Seattle, pp 1–9, 17–20 June 2018Google Scholar
  14. Li B, Zhou F, Li H, Duguid A, Que L, Xue Y et al (2018b) Prediction of CO2, leakage risk for wells in carbon sequestration fields with an optimal artificial neural network. Int J Greenh Gas Control 68:276–286CrossRefGoogle Scholar
  15. Muskhelishvili HN (1958) Some basic problem in mathematic elastic mechanics (translated by Zhao Huiyuan). Science Press, BeijingGoogle Scholar
  16. Nakashima S, Taguchi K, Moritoshi A, Shimizu N, Funatsu T (2013) Loading conditions in the Brazilian test simulation by DEM. American Rock Mechanics Association, San Francisco, pp 1–6, 23–26 June 2013Google Scholar
  17. Serati M, Alehossein H, Erarslan N, Williams DJ (2013) 3D elastic solutions for point load and Brazilian indirect tensile strength tests. Int Soc Rock Mech Rock EngGoogle Scholar
  18. Wang QZ, Jia XM, Kou SQ, Zhang ZX, Lindqvist PA (2004) The flattened Brazilian disc specimen used for testing elastic modulus, tensile strength and fracture toughness of brittle rocks: analytical and numerical results. Int J Rock Mech Min Sci 41(2):245–253. CrossRefGoogle Scholar
  19. Winograd EA, Bosco S, Álvarez JP, Mendoza Álvarez M, Hryb D, Sánchez M (2015) Characterization of mechanical properties of rocks using numerical simulations and image analysis. American Rock Mechanics Association, San Francisco, pp 1–7, 28 June–1 July 2015Google Scholar
  20. Ye JH, Wu FQ, Sun JZ (2009) Estimation of the tensile elastic modulus using Brazilian disc by applying diametrically opposed concentrated loads. Int J Rock Mech Min Sci 46:568–576CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Petroleum Resources and ProspectingBeijingChina
  2. 2.China University of PetroleumBeijingChina
  3. 3.Aramco Services Company: Aramco Research CenterHoustonUSA

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