Influence of Size Effects on Opening Mode Fracture Parameters for Precracked Concrete Beams in Bending

  • S. E. Swartz
  • T. M. E. Refai
Conference paper


Results of three-point bending tests on three sizes of single-edge-notch (SEN) concrete beams are presented. The beams all had the same width (76.2 mm) and span/depth ratio (3.75) with depths of 102 mm, 203 mm and 305 mm. The fracture energy results show wide scatter but apparent independence with beam depth although not with crack depth. The energy release rate results based on LEFM show strong invariance with crack depth and also are invariant between the two larger beam sizes. Good agreement between results of different methods of data evaluation was obtained.


Fracture Toughness Crack Length Energy Release Rate Linear Elastic Fracture Mechanic Concrete Beam 
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.
    Swartz, S. E., “Fracture Toughness Testing of Concrete at Kansas State University: Is LEFM Acceptable?,” Proceedings, International Conference on Fracture Mechanics of Concrete, Lausanne, Switzerland, October 1–3, 1985.Google Scholar
  2. 2.
    Go, C. G. and Swartz, S. E., “Energy Methods for Fracture-Toughness Determination in Concrete,” Experimental Mechanics, Vol. 26, No. 3, Sept. 1986.Google Scholar
  3. 3.
    Rood, S. M., “Fracture Toughness Testing of Small Concrete Beams,” M.S. Thesis, Kansas State University, Manhattan, KS, 1984.Google Scholar
  4. 4.
    Swartz, Stuart E. and Siew, Hoi-Choong, “Time Effects in the Static Testing of Concrete to Determine Fracture Energy,” Report No. 182, Engineering Experiment Station, Kansas State University, June 1986.Google Scholar
  5. 5.
    Swartz, S. E., Hu, K. K., Fartash, M. and Huang, C.-M.J., “Stress-Intensity Factor for Plain Concrete in Bending-Prenotched Versus Precracked Beams,” Experimental Mechanics, Vol. 22, No. 11, Nov. 1982.Google Scholar
  6. 6.
    Swartz, S. E. and Go, C. G., “Validity of Compliance Calibration to Cracked Concrete Beams in Bending,” Experimental Mechanics, Vol. 24, No. 2, June 1984.Google Scholar
  7. 7.
    RILEM Technical Committee 50-FMC, “Determination of the Fracture Energy of Mortar and Concrete by Means of Three-Point Bend Tests on Notched Beams,” Materials and Structures, Vol. 18, No. 106, July-August 1985.Google Scholar
  8. 8.
    Jenq, Y. S. and Shah, S. P., “Two Parameter Fracture Model for Concrete,” Journal of Engineering Mechanics, ASCE, Vol. 111, No. 10, Oct. 1985.Google Scholar
  9. 9.
    Bazant, Z. P. and Pfeiffer, P. A., “Determination of Fracture Energy From Size Effect,” Report No. 86–8/428d, Center for Concrete and Geomaterials, Northwestern University, Sept. 1986.Google Scholar
  10. 10.
    Nallathambi, P. and Karihaloo, B. L., “Determination of Specimen-Size Independent Fracture Toughness of Concrete,” accepted for publication in Magazine of Concrete Research, 1986.Google Scholar
  11. 11.
    Swartz, Stuart E. and Yap, Sze-Ting, “Evaluation of Proposed Methods to Determine Fracture Parameters for Concrete in Bending,” Report No. 181, Engineering Experiment Station, Kansas State University, June 1986.Google Scholar
  12. 12.
    Go, Cheer-Germ, Swartz, Stuart E., and Hu, Kuo-Kuang, “Stress Intensity Factors for Single-Edge-Notch Beam,” Technical Note, Journal of Engineering Mechanics, ASCE, Vol. 110, No. 4, April 1984.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • S. E. Swartz
    • 1
  • T. M. E. Refai
    • 2
  1. 1.Kansas State UniversityManhattanUSA
  2. 2.Department of Civil EngineeringKansas State UniversityManhattanUSA

Personalised recommendations