A Simplified Stress-Crack Width Model for Strain Hardening Cementitious Material (SHCM)
https://doi.org/10.46610/JOCBME.2025.v011i01.005
Keywords:
Cementitious materials, Concrete composites, Fiber orientation, Simplified model, Strain hardeningAbstract
In this study, the influence of fiber orientation on stress-crack width behavior conducts of strain-hardening cementitious materials was experimented with. A simplified stress-crack width model has been developed which may consider the influence of fiber orientation before cracking and the post-peak part of the softening curve. Fiber volume and fiber orientation about the flow direction during casting are considered key parameters. A detailed experimental investigation was performed to understand the behavior of fiber orientation in the matrix. From the experimental investigation, it was observed that 0° fiber orientation shows more strain hardening properties after cracking whereas 90° degree shows the least strain hardening. As a whole, fiber addition in the self-compacting cementitious material brought strain hardening behavior in the matrix. Based on the experimental results, the model parameters were observed and formulated. To validate the simplified model, a comparison was made between experimental results and the proposed model. A quality agreement was accomplished between experimental results and the proposed simplified model.
References
H. Alabduljabbar, R. Alyousef, F. Alrshoudi, A. Alaskar, A. Fathi, and A. Mustafa Mohamed, “Mechanical effect of steel fiber on the cement replacement materials of self-compacting concrete,” Fibers, vol. 7, no. 4, p. 36, Apr. 2019, doi: https://doi.org/10.3390/fib7040036.
I. Ali, A. Abdulridha, and S. Abbas, “Behavior and strength properties of steel fiber reinforced,” Journal of Engineering Science and Technology, vol. 15, no. 5, pp. 3204–3217, 2020, Accessed: Mar. 19, 2025. [Online]. Available: https://jestec.taylors.edu.my/Vol%2015%20issue%205%20October%202020/15_5_25.pdf.
Z. Feng, C. Li, D.-Y. Yoo, R. Pan, J. He, and L. Ke, “Flexural and cracking behaviors of reinforced UHPC beams with various reinforcement ratios and fiber contents,” Engineering Structures, vol. 248, p. 113266, Dec. 2021, doi: https://doi.org/10.1016/j.engstruct.2021.113266.
Van Mier, J.G.M., “Fracture mechanics of concrete structures”, Proceedings of the Fifth International Conference on Fracture Mechanics of Concrete and Concrete Structures, Vail, Colorado, USA, 12-16 April 2004, Volume 1.
J.G.M. van Mier,, "Cementitious composites with high tensile strength and ductility through hybrid fibres", In 6th RILEM Symposium on Fibre Reinforced Concrete (BEFIB 2004), Varenna, 2004, pp. 219-238.
B. Mobasher, H. Stang, and S. P. Shah, “Microcracking in fiber reinforced concrete,” Cement and Concrete Research, vol. 20, no. 5, pp. 665–676, Sep. 1990, doi: https://doi.org/10.1016/0008-8846(90)90001-e.
K. Otsuka, Hirozo Mihashi, M. Kiyota, S. Mori, and A. Kawamata, “Observation of multiple cracking in hybrid FRCC at micro and meso levels,” Journal of Advanced Concrete Technology, vol. 1, no. 3, pp. 291–298, Jan. 2003, doi: https://doi.org/10.3151/jact.1.291.
Soroushian, P., Lee, C., "Distribution and orientation of fibers in steel fibre reinforced concrete", ACI Materials Journal, vol. 87 no. 5, pp. 433-439, 1990, Available: https://www.concrete.org/publications/internationalconcreteabstractsportal.aspx?m=details&ID=1803.
Romualdi J., Mandel, J., "Tensile strength of concrete affected by uniformly distributed and closely spaced short lengths of wire reinforcement", Journal of the American Concrete Institute, vol. 61 no.6, pp. 657-671, 1964, Available: https://www.semanticscholar.org/paper/Tensile-Strength-of-Concrete-Affected-by-Uniformly-Romualdi-Mandel/ef1332b3e4ef8f07b1338f83f4248a8eb09622a6.
Y. Akkaya, S. P. Shah, and B. Ankenman, “Effect of fiber dispersion on multiple cracking of cement composites,” Journal of Engineering Mechanics, vol. 127, no. 4, pp. 311–316, Apr. 2001, doi: https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(311).