Skip to main content
Log in

Cracking Resistance of Short-Fiber-Reinforced Composites

Mechanics of Composite Materials Aims and scope

A crack bridged by discrete fibers in an infinite medium is modeled. A crack model is developed to consider nonlinearities in the fiber stress–displacement relation independently of the actual physical processes governing this relation. The effects of fiber size and placement on the intensity of crack tip stress are considered. As an example, a crack in a short-steel-fiber-reinforced concrete matrix composite is considered. Variations in the intensity of crack tip stress due to fiber debonding, pullout, and associated stress discontinuities are considered.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. R. F. Zollo, “Fiber-reinforced concrete: an overview after 30 years of development,” Cement and Concrete Composites, 19, Iss. 2 (1997).

  2. Y.-C. Gao, Y.-W. Mai, and B. Coterell, ”Fracture of fiber-reinforced materials,” J. Appl. Mathem. and Physics (ZAMP), 39, July (1988).

  3. J. Zhang, H. Stang, and V. C. Li, “Crack bridging model for fibre-reinforced concrete under fatigue tension,” Int. J. of Fatigue, 23, 655-670 (2001).

    Article  Google Scholar 

  4. L. R. F. Rose, “Crack reinforcement by distributed springs,” J. Mech. Phys. Solids 35, 383-405

  5. S. Nemat-Nasser and M. Hori, “Toughening by partial or full bridging of cracks in ceramics and fiber-reinforced composites,” Mechanics of Materials, 6, Iss. 3, September, 245-269 (1987).

  6. Chao-Hsun Chen, Ren-Roe Chang, and Pao-Hwa Jeng, “On the fiber-bridging of cracks in fiber-reinforced composites,” Mech. of Mater., 20, Iss. 2, April, 165-181 (1995).

  7. A. Carpinteri and R. Massabo, “Continuous vs discontinuous bridged crack model for fiber-reinforced materials in flexure,” Int. J. of Solids and Structures, 35, Iss. 18, June, 2321-2338 (1997).

  8. Y. H. Cheng, L. N. Chun, and L. Xin-gang, “Dynamic crack propagation problems of fiber-reinforced concrete,” Advances in Civil Engineering, , Article ID 971472 (2011).

  9. G. A. Kardomateas and R. L. Carlson, “A micromechanical model for the fiber bridging of macro-cracks in composite plates,” J. Appl. Mech., 63 I 225, March, (1996).

  10. G. Meda and P. Steif, “Analysis of a crack bridged by a single fiber,” J. Appl. Mech. 59, No. 3, 524-529 (1992).

    Article  Google Scholar 

  11. A. A. Rubinstein, “Strength of fiber-reinforced ceramics on the basis of micromechanical analysis,” J. Mech. and Phys. of Solids, 42, Iss. 3, March, 401-422 (1994).

  12. K. Bertoldi, D. Bigoni, and W. J. Drugan, “A discrete-fibers model for dridged cracks and reinforced elliptical voids,” J. Mech. and Phys. of Solids, 55, 1016-1035 (2007).

    Article  Google Scholar 

  13. B. Mobasher and C. Y. Li, “Effect of interfacial properties on the crack propagation in cementious matrix composites,” J. of Advanced Cement Based Materials, 4, No. 3, 93-106 (1996).

    Article  Google Scholar 

  14. R. Brighenti, “Fracture behavior of brittle fibre-reinforced solids by a new FE formulation,” Compos. Structures, 91, 324-336 (2009).

    Article  Google Scholar 

  15. R. Brighenti and D. Scorza, “Numerical modeling of the fracture behavior of brittle materials reinforced with unidirectional or randomly distributed fibres,” Mechanics of Materials, 52, 12-27 (2012).

    Article  Google Scholar 

  16. H. Tada, P. C. Paris, and G. W. Irwin, The Stress Analysis of Cracks Handbook. Third Edition. ASME Press, New-York, 2000.

    Book  Google Scholar 

  17. F. Erdogan, “On the stress distribution on plates with collinear cuts under arbitrary loads,” Proc. Fourth U.S. National Congress of Applied Mechanics, p. 547, 1962.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Zesers.

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 50, No. 2, pp. 237-252 , March-April, -2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zesers, A., Tamužs, V. Cracking Resistance of Short-Fiber-Reinforced Composites. Mech Compos Mater 50, 165–176 (2014). https://doi.org/10.1007/s11029-014-9404-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-014-9404-4

Keywords

Navigation