International Journal of Concrete Structures and Materials

Korea Concrete Institute (한국콘크리트학회)
권호 표지
DOI QR코드

DOI QR Code

Multiple Cracking Model of Fiber Reinforced High Performance Cementitious Composites under Uniaxial Tension

  • Wu, Xiangguo (School of Architecture Engineering, Harbin Engineering University) ;
  • Han, Sang-Mook (School of Civil Engineering, Kumoh National Institute of Technology)
  • Published : 2009.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

A theoretical model of multiple cracking failure mechanism is proposed herein for fiber reinforced high performance Cementitious composites. By introducing partial debonding energy dissipation on non-first cracking plane and fiber reinforcing parameter, the failure mechanism model of multiple cracking is established based on the equilibrium assumption of total energy dissipation on the first crack plane and non-first cracking plane. Based on the assumption of the first crack to be the final failure crack, energy dissipation terms including complete debonding energy, partial debonding energy, strain energy of steel fiber, frictional energy, and matrix fracture energy have been modified and simplified. By comparing multiple cracking number and energy dissipations with experiment results of the reference's data, it indicates that this model can describe the multiple cracking behavior of fiber reinforced high performance cementitious composites and the influence of the partial debonding term on energy dissipation is significant. The model proposed may lay a foundation for the predictions of the first cracking capacity and post cracking capacity of fiber reinforced high performance cementitious composites and also can be a reference for optimal mixture for construction cost.

Keywords

References

  1. Naaman, A. E., “High Performance Fiber Reinforced Cement Composites,” Concrete Structure for the Future, IABSE Symposium, Paris-Versailles, 1987, pp. 371-376.
  2. Li, V. C. and Wu, H. C., “Conditions for Pseudo Strain-Hardening in Fiber Reinforced Brittle Matrix Composites,” J. Applied Mechanics Review, Vol. 45, No. 8, 1992, pp. 390-398. https://doi.org/10.1115/1.3119767
  3. Li, V. C., “Post-Crack Scaling Relations for Fiber Reinforced Cementitious Composites,” ASCE J. of Materials in Civil Engineering, Vol. 4, No. 1, 1992, pp. 41-57. https://doi.org/10.1061/(ASCE)0899-1561(1992)4:1(41)
  4. Li, V. C. and Leung, C. K. Y., “Theory of Steady State and Multiple Cracking of Random Discontinuous Fiber Reinforced Brittle Matrix Composites,” ASCE J. of Engineering Mechanics, Vol. 118, No. 11, 1992, pp. 2246-2264. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:11(2246)
  5. Li, V. C., Stang, H., and Krenchel, H., “Micromechanics of Crack Bridging in Fiber Reinforced Concrete,” J. of Materials and Structures, Vol. 26, 1993, pp. 486-494. https://doi.org/10.1007/BF02472808
  6. Tjiptobroto, P. and Hansen, W., “Tensile Strain Hardening and Multiple Cracking in High-Performance Cement Based Composites Containing Discontinuous Fibers,” ACI Materials Journal, Vol. 90, No. 1, 1993.
  7. Tjiptobroto, P. and Hansen, W., “Model for Predicting the Elastic Strain of Frc Containing High Volume Fractions of Discontinuous Fibers,” ACI Materials Journal, Vol. 90, No. 2, 1993.
  8. Tjiptobroto, P., “Tensile Strain Hardening of High Performance Fiber Reinforced Cement-Based Composites,” PhD dissertation, University of Michigan, Ann Arbor, 1991, 209 pp.
  9. Naaman, A. E. and Shah, S. P., “Fracture and Multiple Cracking of Cementitious Composites,” Fracture Mechanics Applied to Brittle Materials, Proceedings of the $11 ^{th}$National Symposium on Fracture Mechanics, Smith, C. W. and Freiman, S. W. eds., ASTM, 1979, pp. 183-201.
  10. Aveston, J., Cooper, G. A., and Kelly, A., “Single and Multiple Fracture. The Properties of Fibre Composites,” Conference Proceedings of National Physical Laboratory, IPC Science and Technology Press Ltd., 1971, pp. 15-24
  11. Wu, X. G.., Han, S. M., Kim, S. W., and Kang, S. T., “Shear Failure Load of SFR-UHPCCC I-Beam without Stirrup Based on Limit Analysis of Concrete Plasticity,” Proceedings of the International Conference on Fracture and Damage Mechanics V, Key Engineering Materials, Vol. 324, 2006, pp. 491-494
  12. Shah, S. P., Swartz, S. E., and Ouyang, C. S., Fracture Mechanics of Concrete: Applications of Fracture Mechanics to Concrete, Rock and Other Quasi-Brittle Materials[M]. A Wiley-Interscience Publication, 1995, pp. 162-175.

Cited by

  1. Structural analysis of circular UHPCC form for hybrid pier under construction loads vol.12, pp.2, 2012, https://doi.org/10.12989/scs.2012.12.2.167
  2. Shrinkage cracking of amorphous metallic fibre-reinforced concrete vol.168, pp.4, 2015, https://doi.org/10.1680/stbu.13.00084