Journal of Materials Science

, Volume 12, Issue 2, pp 277–289 | Cite as

Optimization of the three-point bend test for fracture energy measurement

  • G. A. Cooper


Of the various methods for measuring the fracture energy of a material, the three-point slow bend test has the merit of being simple and straightforward to execute. It can only be expected to give valid results, however, when the crack propagates quasi-statically. A simple criterion is proposed to determine whether a specimen of given geometry and meterial will fracture in a stable or unstable manner when tested in a particular machine. The prediction of the criterion is compared with experimental results obtained on a variety of rocks, and is found to give good agreement.


Polymer Fracture Energy Valid Result Energy Measurement Bend Test 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. L. Bertoletti,J. Amer. Ceram. Soc. 57 (1974) 300.Google Scholar
  2. 2.
    G. P. Marhsall, J. G. Williams andC. E. Turner,J. Mater. Sci. 8 (1973) 919.Google Scholar
  3. 3.
    H. G. Tattersall andG. Tappin,ibid 1 (1966) 296.Google Scholar
  4. 4.
    R. W. Davidge andG. Tappin,ibid 3 (1968) 165.Google Scholar
  5. 5.
    J. Nakayama,J. Amer. Ceram. Soc. 48 (1965) 583.Google Scholar
  6. 6.
    W. F. Brown andJ. E. Srawley, ASTM special technical publication No. 410, ASTM Philadelphia (1966) p. 9.Google Scholar
  7. 7.
    G. C. Sih, "Handbook of stress intensity factors", (Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem. Pa., 1973).Google Scholar
  8. 8.
    R. G. Hoagland, G. T. Hahn, A. T. Rosenfield, R. Simons andG. D. Nicholson, Battelle research report, Contract HO 210006 January 1972).Google Scholar
  9. 9.
    R. G. Hoagland, G. T. Hahn, andA. R. Rosenfield,Rock Mechanics 5 (1973) 77.Google Scholar
  10. 10.
    J. J. Gilman,J. Appl. Phys. 31 (1960) 2208.Google Scholar
  11. 11.
    H. Bergkvist, to be published.Google Scholar

Copyright information

© Chapman and Hall Ltd 1977

Authors and Affiliations

  • G. A. Cooper
    • 1
  1. 1.Institut CERAC S.A., Chemin des Larges-PiècesEcublensSwitzerland

Personalised recommendations