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
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
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
Hooper JA (1971) The failure of glass cylinders in diametral compression. J Mech Phys Solids 19(4):179–200
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
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
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
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
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
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-015-0773-3