Skip to main content
Log in

The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness

  • Technical Note
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Abbreviations

\(F\) :

Applied force at failure in a Brazilian test

\(I_{m} (\gamma _{n} r)\) :

Modified Bessel function of the first kind of order \(m\) and the non-negative argument \(\gamma _{n} r\)

\(2L\), \(r_0\) :

Thickness and radius of a Brazilian disc specimen

\(m, n, B_{mn}, D_{mn}\) :

Constants

\(P\) :

Total load per radial length applied on the lateral curved surface of a Brazilian disc

\(2\alpha\) :

Contact angle in a Brazilian disc

\(r,\ \theta ,\ z\) :

Polar coordinates

\(x,\ y,\ z\) :

Cartesian coordinates

\({\sigma }_{rr}\) :

Radial stress components in cylindrical coordinates

\(\phi _{(r,\theta ,z)}, \varvec{\psi }_{(\psi _r, \psi _\theta , \psi _z)}\) :

Harmonic scalar and harmonic vector potentials in cylindrical coordinates, respectively

References

  • ASTM (2008) D3967-08: standard test method for splitting tensile strength of intact rock core specimens. ASTM International, West Conshohocken (annual book of ASTM Standards)

  • Cranmer DC, Richerson DW (1998) Mechanical testing methodology for ceramic design and reliability. CRC Press, Boca Raton

    Google Scholar 

  • Diyuan L, Louis NYW (2012) The Brazilian disc test for rock mechanics applications: review and new insights. Rock Mech Rock Eng 46(2):269–287

    Google Scholar 

  • 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. Aust J Appl Sci 10:243–268

    Google Scholar 

  • Hooper JA (1971) The failure of glass cylinders in diametral compression. J Mech Phys Solids 19(4):179–200

    Article  Google Scholar 

  • ISRM (1978) Suggested methods for determining tensile strength of rock materials. Int J Rock Mech Min Sci Geomech Abstr 15(3):99–103

  • Kourkoulis SK, Markides CF, Chatzistergos PE (2012) The Brazilian disc under parabolically varying load: theoretical and experimental study of the displacement field. Int J Solids Struct 49(7–8):959–972

    Article  Google Scholar 

  • Rocco C, Guinea GV, Planas J, Elices M (1999) Size effect and boundary conditions in the Brazilian test: theoretical analysis. Mater Struct 32(6):437–444

    Article  Google Scholar 

  • Rocco C, Guinea G, Planas J, Elices M (2001) Review of the splitting test standards from a fracture mechanics point of view. Cement Concrete Res 3(1):73–82

    Article  Google Scholar 

  • Serati M (2014) Stiness and strength of rock cutting and drilling tools and rock-drag bit and roller disc cutters. PhD thesis, School of Civil Engineering, The University of Queensland, Australia

  • Serati M, Alehossein H, Williams DJ (2013) 3D elastic solutions for laterally loaded discs: generalised Brazilian and point load tests. Rock mechanics and rock engineering, pp 1–15

  • Wei XX, Chau KT (2013) Three dimensional analytical solution for finite circular cylinders subjected to indirect tensile test. Int J Solids Struct 50(14–15):2395–2406

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mehdi Serati.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Serati, M., Alehossein, H. & Erarslan, N. The Brazilian Disc Test Under a Non-Uniform Contact Pressure Along Its Thickness. Rock Mech Rock Eng 49, 1573–1577 (2016). https://doi.org/10.1007/s00603-015-0773-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-015-0773-3

Keywords

Navigation