Skip to main content

Tensile strain-hardening FRC composites: Historical evolution since the 1960

  • Conference paper

Abstract

Cement-based composites reinforced with discontinuous fibers can be conveniently classified according to their tensile response, namely, either strain-softening or strain-hardening. While such a classification seems deceptively simple, it was not arrived at spontaneously and took some time to materialize. This paper describes some chronological developments since the 1960’s and related nomenclature that led to the special class of strain-hardening FRC composites. These composites are characterized by a strain hardening response after first cracking accompanied by multiple cracking up to relatively high strains. Two different groups of researchers, one in the field of materials science and the other in civil engineering, working totally independently, formulated criteria to achieve such behavior. One criterion is based on a stress threshold and the other criterion is based on an energy balance. The two groups followed two entirely different approaches: one followed a composite mechanics approach leading to a stress criterion, and one followed a fracture mechanics formulation leading to both a stress and an energy criterion. It is observed that the two groups while following entirely different paths solved in effect the same problem. Strain hardening FRC composites are expected to become widely used in the future in structural applications.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aveston, J., Cooper, G.A., and Kelly, A., “Single and Multiple Fracture,” in Properties of Fiber Composites, Proceedings of Conference of the National Physical Laboratory, Guildford, U.K., IPC Science and Technology Press, 1971.

    Google Scholar 

  2. Balaguru, P., and Kendzulak, J., Mechanical Properties of Slurry Infiltrated Fiber Concrete (SIFCON), in Fiber Reinforced Concrete Properties and Applications, American Concrete Institute, SP-105, ACI, Detroit, 1987.

    Google Scholar 

  3. Balaguru, P., and Shah, S.P., Fiber Reinforced Cement Composites, McGraw Hill, 1992.

    Google Scholar 

  4. Berard, A., “Artificial Stone,” U.S. Patent No. 157 903, December 15, 1874.

    Google Scholar 

  5. Brandt, A.M., “On the Calculation of Fracture Energy in SFRC Elements Subjected to Bending,” Proceedings of Conference on “Bond in Concrete”, ed. P. Bartos, Paisley, U.K., June 1982, Appl.Science Publishers, London 1982, pp. 73–81.

    Google Scholar 

  6. Chanvillard, G., and Rigaud, S., “Complete Characterization of Tensile Properties of Ductal UHPFRC According to the French Recommendations,” in High Performance Fiber Reinforced Cement Composites (HPFRCC-4), A.E. Naaman and H.W. Reinhardt, Editors, RILEM Publications, Pro. 30, June 2003, pp. 95–113.

    Google Scholar 

  7. Cox, B.N., Marshall, D.B., and Thouless, M.D., “Influence of Statistical Fiber Strength Distribution on Matrix Cracking in Fiber Composites,” Acta Metallica, Vol. 37, No. 7, 1989, pp. 1933–1943.

    Article  Google Scholar 

  8. Fischer, G., and Li, V.C., Editors, Proceedings of Rilem International Conference on Applications of High Performance Fiber Reinforced Cementitious Composites, Honolulu, Hawai, 2005. In print.

    Google Scholar 

  9. Gopalaratnam, V., and Shah, S.P., “Tensile Failure of Steel Fiber Reinforced Mortar,” Journal of Engineering Mechanics, ASCE, Vol. 113, No. 5, May 1987, pp. 635–652.

    Article  Google Scholar 

  10. Grimer, E., and Ali, M.A., “The Strength of Cements Reinforced with Glass Fibers,” Magazine of Concrete Research, March 1969.

    Google Scholar 

  11. Hannant, D.J., “Fiber Cements and Fiber Concretes,” J. Wiley, 1978, 215 pp.

    Google Scholar 

  12. Hillerborg, A., Modeer, M., and Petersson, P-E., “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, Vol. 6, 1976, pp. 773–782.

    Article  Google Scholar 

  13. Hillerborg, A., “The Advanced Strip Method: a Simple Design Tool,” Magazine of Concrete Research, Vol. 34, No. 121, 1982, pp. 175–181.

    Article  Google Scholar 

  14. Homrich, J.R., and Naaman, A.E., “Stress-Strain Properties of SIFCON in Compression,” Fiber Reinforced Concrete: Properties and Applications, American Concrete Institute, SP-105, Detroit, Michigan, 1987, pp. 283–304.

    Google Scholar 

  15. Japan Concrete Institute, Proceedings of the JCI Workshop on Ductile Fiber Reinforced Cementitious Composites (DFRCC)-Application and Evaluation, Tokyo, Japan, October 2002.

    Google Scholar 

  16. Kasparkiewicsz, J., discussion, in Proceedings of RILEM Symposium on Testing and Test Methods of Fiber Cement Composites, Edited by N. Swamy, The Construction Press, England, 1978, pp. 493–495

    Google Scholar 

  17. Kelly, A., and Davis, G.J., “The Principles of Fiber Reinforcement of Metals,” Metallurgical Review, Vol. 10, No. 37, 1965.

    Google Scholar 

  18. Kelly, A., “Reinforcement of Structural Materials by Long Strong Fibers,” ASM Symposium, Boston, May 1972.

    Google Scholar 

  19. Krenchel, H., “Fiber Reinforcement,” Akademisk Forlag, Copenhagen, Denmark, Eng. translation, 1964.

    Google Scholar 

  20. Lankard, D.R., “Slurry Infiltrated Fiber Concrete (SIFCON): Properties and Applications,” in Proceedings of Symposium on Very High Strength Based Materials, Materials Research Society, Vol. 42, J.F. Young, Editor, Pittsburgh, 1985.

    Google Scholar 

  21. Lankard, D.R., and Newell, J.K., “Preparation of Highly Reinforced Steel Fiber Reinforced Concrete Composites,” in Fiber Reinforced Concrete — International Symposium, American Concrete Institute, SP-81, Detroit, 1984, pp. 277–306.

    Google Scholar 

  22. Li, V.C., “Post-Crack Scaling Relations for Fiber Reinforced Cementitious Composites,” ASCE Journal of Materials in Civil Engineering, Vol. 4, No. 1, 1992, pp. 41–57

    Google Scholar 

  23. Li, V.C., and Wu, H.C., “Conditions for Pseudo Strain Hardening in Fiber Reinforced Brittle Matrix Composites,” Journal of Applied Mechanics Review, Vol. 45, No. 8, 1992, pp. 390–398.

    Google Scholar 

  24. Li, V.C., and Leung, C.K.Y., “Theory of Steady State and Multiple Cracking of Random Discontinuous Fiber-Reinforced Brittle Matrix Composites,” ASCE Journal of Engineering Mechanics, Vol. 118, No. 11, 1992, pp. 2246–2264.

    Google Scholar 

  25. Li, V.C., “On Engineered Cementitious Composites (ECC): A Review of the Material and its Implications,” Journal of Concrete Technology, Japan Concrete Institute, Vol. 1, No. 3, November 2003, pp. 215–230

    Article  Google Scholar 

  26. Majumdar, A.J., “Determining Bond Strength in Fiber Reinforced Composites,” Magazine of Concrete Research, Vol. 20, Dec. 1968.

    Google Scholar 

  27. Majumdar, A.J., and Ryder, J.F., “Glass Fiber Reinforcement of Cement Products,” Glass Technology, Vol. 9, No. 3, June 1968, pp. 78–84.

    Google Scholar 

  28. Marshall, D.B., and Cox, B.N., and Evans, A.G., “The Mechanics of Matrix Cracking in Brittle-Matrix Fiber Composites,” Acta Metallica, Vol. 35, No. 11, 1985, pp. V2013–2021.

    Article  Google Scholar 

  29. Marshall, D.B., and Cox, B.N., “A J-Integral Method for Calculating Steady-State Matrix Cracking Stresses in Composites,” Mechanics of Materials, North-Holland, No. 7, 1988, pp. 127–133.

    Article  Google Scholar 

  30. Naaman, A.E, “A Statistical Theory of Strength for Fiber Reinforced Concrete,” Ph.D. Thesis, Massachusetts Institute of Technology, 1972, 196 pages.

    Google Scholar 

  31. Naaman, A.E., A. Argon and F. Moavenzadeh, “A Fracture Model for Fiber Reinforced Cementitious Materials,” Cement and Concrete Research, Vol. 3, No. 4, 1973, pp. 397–411.

    Article  Google Scholar 

  32. Naaman, A.E., F. Moavenzadeh and F.J. McGarry, “Probabilistic Analysis of Fiber Reinforced Concrete,” Journal of the Engineering Mechanic’s Division, ASCE, Vol. 100, No. EM2, April 1974, pp. 397–413.

    Google Scholar 

  33. Naaman, A.E., and Shah, S.P., “Fracture and Multiple Cracking of Cementitious Composites,” in Fracture Mechanics Applied to Brittle Materials, ASTM STP 678, Part II, S.W. Frieman, Editor, 1979, 183–201. (Note related symposium held in June 1978)

    Google Scholar 

  34. Naaman, A.E., “High Performance Fiber Reinforced Cement Composites,” Proceedings of the IABSE Symposium on Concrete Structures for the Future, Paris, France, September 1987, pp. 371–376.

    Google Scholar 

  35. Naaman, A.E., “Advances in High Performance Fiber Reinforced Cement Based Composites,” Proceedings of the International Symposium on Fiber Reinforced Concrete, V.S. Parameswaran and T.S. Krishnamurti, Editors, Oxford IBH Publishing Ltd., New Delhi, India, December 1987, pp. 7.87–7.98.

    Google Scholar 

  36. Naaman, A.E., and Homrich, J.R., “Tensile Stress-Strain Properties of SIFCON,” ACI Materials Journal, Vol. 86, No. 3, May–June 1989, pp. 244–251.

    Google Scholar 

  37. Naaman, A.E., “SIFCON: Tailored Properties for Structural Performance,” in High Performance Fiber Reinforced Cement Composites, RILEM Proceedings 15, E. and FN SPON, London, 1992, pp. 18–38.

    Google Scholar 

  38. Naaman, A.E., and Reinhardt, H.W., Co-Editors, “High Performance Fiber Reinforced Cement Composites: HPFRCC 2, RILEM, No. 31, E. & FN Spon, London, 1996, 505 pages.

    Google Scholar 

  39. Naaman, A.E., and Reinhardt, H.W., “Characterization of High Performance Fiber Reinforced Cement Composites,” in Proceedings of High Performance Fiber Reinforced Cement Composites: HPFRCC 2, RILEM, No. 31, E. & FN Spon, London, 1996, pp. 1–31.

    Google Scholar 

  40. Naaman, A.E., “Toughness, Ductility, Surface Energy and Deflection-Hardening FRC Composites,” in Proceedings of the JCI Workshop on Ductile Fiber Reinforced Cementitious Composites (DFRCC) — Application and Evaluation, Japan Concrete Institute, Tokyo, Japan, October 2002, pp. 33–57.

    Google Scholar 

  41. Naaman, A.E., “Strain Hardening and Deflection Hardening Fiber Reinforced Cement Composites,” in High Performance Fiber Reinforced Cement Composites (HPFRCC-4), A.E. Naaman and H.W. Reinhardt, Editors, RILEM Publications, Pro. 30, June 2003, pp. 95–113.

    Google Scholar 

  42. Naaman, A.E., and Reinhardt, H.W., Co-Editors, “High Performance Fiber Reinforced Cement Composites — HPFRCC 4,” RILEM Proc., PRO 30, RILEM Pbs., S.A.R.L., Cachan, France, in print, June 2003; 546 pages.

    Google Scholar 

  43. Naaman, A.E., and Reinhardt, H.W., “High Performance Fiber Reinforced Cement Composites (HPFRCC-4): International RILEM Report,” Materials and Structures, Vol. 36, Dec. 2003, pp. 710–712. Also same in Cement and Concrete Composites, Vol. 26, 2004, pp. 757–759.

    Google Scholar 

  44. Naaman, A.E., “Engineered Steel Fibers with Optimal Properties for Reinforcement of Cement Composites,” Journal of Advanced Concrete Technology, Japan Concrete Institute, Vol. 1, No. 3, November 2003, pp. 241–252.

    Article  Google Scholar 

  45. Naaman, A.E., and Reinhardt, H.W., “Proposed Classification of FRC Composites Based on their Tensile Response” Materials and Structures, Vol. 39, page 547–555, 2006. Also, Proceedings of symposium honoring S. Mindess, N. Banthia, Editor, University of British Columbia, Canada, August 2005. Electronic proceedings, 13 pages.

    Article  Google Scholar 

  46. Neville, A., Editor, Proceedings of the RILEM International Symposium on Fiber Reinforced Cement and Concrete, London, September, 1975.

    Google Scholar 

  47. Reinhardt, H.W., and A.E. Naaman, A.E., Co-Editors “High Performance Fiber Reinforced Cement Composites,” RILEM Publications 15, E. & FN Spon, London, 1992, 565 pages.

    Google Scholar 

  48. Reinhardt, H.W., and A.E. Naaman, A.E., Co-Editors, “High Performance Fiber Reinforced Cement Composites-HPFRCC 3,” RILEM Proceedings, PRO 6, RILEM Pbs., S.A.R.L., Cachan, France, May 1999; 666 pages.

    Google Scholar 

  49. Reinhardt, H.W., and A.E. Naaman, A.E., Co-Editors, “High Performance Fiber Reinforced Cement Composites — HPFRCC 5,” in print, RILEM Proceedings, RILEM Pbs., S.A.R.L., Cachan, France, 2007.

    Google Scholar 

  50. Richard, P., “Reactive powder concrete: a new ultra-high strength cementitious material,” Proceedings of the 4th International Symposium on Ultilisation of High-Strength/High-Performance Concrete, Paris, France, 1996, pp. 1501–1511.

    Google Scholar 

  51. Romualdi, J.P., and Mandel, J.A., “Tensile Strength of Concrete Affected by Uniformly Distributed Closely Spaced Short Length of Wire Reinforcement,” ACI Journal, June 1964.

    Google Scholar 

  52. Romualdi, J.P., “Two Phase Concrete and Steel Materials,” U.S. Patent No. 3,439,094, Feb. 25, 1969.

    Google Scholar 

  53. P. Rossi, P. and Chanvillard, G., Editors, Proceedings of Fifth RILEM Symposium on Fiber Reinforced Concretes (FRC), BEFIB 2000, September 2000, Rilem Publications, S.A.R.L., Cachan, France.

    Google Scholar 

  54. Shah, S.P., Ranjan, R.V., “Fiber Reinforced Concrete Properties,” ACI Journal, Vol. 68, No. 2, Feb. 1971, pp. 126–135.

    Google Scholar 

  55. Shah, S.P., “Do Fibers Increase the Tensile Strength of Cement-Based Matrices?” ACI Materials Journal, Vol. 88, No. 6, Nov.–Dec. 1991, pp. 595–602.

    Google Scholar 

  56. Swamy, R.N., Editor, “Testing and Test Methods of Fiber Cement Composites,” RILEM Symposium Proceedings, Sheffield, The Construction Press, England, 1978, 545 pages.

    Google Scholar 

  57. Sujivorakul, C., and Naaman, A.E., “Tensile Response of HPFRC Composites Using Twisted Polygonal Steel Fibers”, in Innovations in Fiber-Reinforced Concrete for Value,” N. Banthia, M. Criswell, P. Tatnall, and K. Folliard, Editors, ACI Special Publication, SP216, American Concrete Institute, 2003, pp. 161–179.

    Google Scholar 

  58. Sujivorakul, C., and Naaman, A.E., “Ultra High-Performance Fiber-Reinforced Cement Composites Using Hybridization of Twisted Steel Fibers and Micro Fibers,” in Fiber Reinforced Concretes — BEFIB 2004, Edited by M. di Prisco, R. Felicetti, and G.A. Plizzari, RILEM Proceedings PRO 39, Vol. 2, 2004, pp. 1401–1410.

    Google Scholar 

  59. Tjiptobroto, P., and Hansen, W., “Model for prediction of the elastic strain of fiber reinforced composites containing high volume fractions of discontinuous fibers,” ACI Materials Journal, V. 90, No. 2, March–April, 1993.

    Google Scholar 

  60. Visalvanich, K. and A.E. Naaman, “A Fracture Model for Fiber Reinforced Concrete,” Journal of the American Concrete Institute, Vol. 80, No. 2, March/April 1983, pp. 128–138.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Naaman, A.E. (2007). Tensile strain-hardening FRC composites: Historical evolution since the 1960. In: Grosse, C.U. (eds) Advances in Construction Materials 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72448-3_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72448-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72447-6

  • Online ISBN: 978-3-540-72448-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics