Theoretical and Experimental Research of Ultra-High-Performance Concrete Tensile Behaviour Based on Micro-Analysis

Liu Xinyi, Zhang Rongling, Duan Yun


The cracking resistance and durability of the ultra-high-performance concrete (UHPC) structure are directly affected by its tensile behaviour. A micro-analysis method was established to study the tensile behaviour of the UHPC before the appearance of visible cracks. The cooperative characteristic of the steel fibre and the cement matrix was taken as a research focus of the micro-analysis method. The random distribution of steel fibre was considered as normal distribution. Based on the micro-analysis method, the tensile behaviour of UHPC was divided into the elastic stage and micro-damage development stage. Other data sourced elsewhere were used to verify the feasibility of the micro-analysis method and the necessary data were tested using pure bending specimens to verify the theoretical model. The results show that the working mechanism of inner steel fibre can be described by the micro-analysis method. The bending test results of the UHPC at the elastic and the micro-damage development stage match the theoretical model. The tensile behaviour of the UHPC is dominated by the inner steel fibre and the contribution of the cement matrix can be ignored. A bilinear model is proposed to describe the tensile constitutive of UHPC before the appearance of visible cracks, and the limitations of each stage are 8.85 MPa and 12.36 MPa.


bilinear model; micro-analysis method; non-uniform distribution; steel fibre; steel fibre reinforced UHPC; ultra-high-performance concrete

Full Text:



Aaleti, S., Petersem, B., & Sritharan, S. (2013). Design guide for precast UHPC waffle deck panel system, including connections (Report No. FHWA-HIF-13-032). Washington DC: Federal Highway Administration.

AFGC/SETRA. (2013). Ultra-high performance fibre reinforced concrete. Paris: Association française de normalisation.

Ai-Osta, M. A., Isa, M. N., Baluch, M. H., & Rahman, M. K. (2017). Flexural behaviour of reinforced concrete beams strengthened with ultra-high performance fibre reinforced concrete. Construction and Building Materials, 134, 279–296.

Barros, J. A., Cunha, V. M., Ribeiro, A. F., & Antunes, J. A. B. (2005). Post-cracking behaviour of steel fibre reinforced concrete. Materials and Structures, 38(1), 47–56.

Chan, Y. W., & Chu, S. H. (2004). Effect of silica fume on steel fibre bond characteristics in reactive powder concrete. Cement and Concrete Research, 34(7), 1167–1172.

Dogu, M., & Menkulasi, F. (2020). A flexural design methodology for UHPC beams posttensioned with unbonded tendons. Engineering Structures, 207, Article 110193.

Ghafari, E., Costa, H., Julio, E., Portugal, A., & Duraes, L. (2014). The effect of nanosilica addition on flowability, strength and transport properties of ultra high performance concrete. Materials & Design, 59, 1–9.

Graybeal, B. A. (2006). Material property characterization of ultra-high performance concrete (Report No. FHWA-HRT-06-103). Federal Highway Administration.

Guo, Z. H. (1997). Strength and deformation of concrete: Test and constitutive relation. Beijing: Tsinghua University Press (in Chinese).

Habel, K., Denare, E., & Brühwiler, E. (2004). Structural response of composite “UHPFRC-Concrete” members under bending. International Symposium on Ultra High Performance Concrete (UHPC’04), 389–399.

Huang, C. K. (2004). Fibre reinforced concrete structure. Beijing: China Machine Press (in Chinese).

Johnston, C. D. (2001). Fibre reinforced cements and concretes. Amsterdam, Netherlands: Gordon and Breach Science Publishers.

Kang, S. H., Ji-Hyung, L., Hong, S. G., & Moon, J. (2017). Microstructural investigation of heat-treated ultra-high performance concrete for optimum production. Materials, 10(9), Article 1106.

Kang, S., & Kim, J. (2011). The relation between fibre orientation and tensile behaviour in an ultra high performance fibre reinforced cementitious composites (UHPFRCC). Cement and Concrete Research, 41(10), 1001–1014.

Lee, M. K., & Barr, B. I. G. (2004). An overview of the fatigue behaviour of plain and fibre reinforced concrete. Cement and Concrete Composites, 26(4), 299–305.

Liang, X. W., & Shi, Q. X. (2011). Design principle of concrete structure. Beijing: China Architecture and Building Press. (in Chinese)

Lok, T. S., & Pei, J. S. (1998). Flexural behaviour of steel fibre reinforced concrete. Journal of Materials in Civil Engineering, 10(2), 86–97.

Noori, A., Shekarchi, M., & Moradian, M. (2015). Behaviour of steel fibre-reinforced cementitious mortar and high-performance concrete in triaxial loading. ACI Materials Journal, 112(1), 95–104.

Orange, G., Acker, P., & Vernet, C. (1999). A new generation of UHP concrete: Ductal, damage resistance and micromechanical analysis. Third International Workshop on High Performance Fibre Reinforced Cement Composites (HPFRCC3), Mainz, Germany, 101–111.

Park, S. H., Dong, J. K., Ryu, G. S., & Koh, K. T. (2012).Tensile behaviour of ultra high performance hybrid fibre reinforced concrete[J]. Cement and Concrete Composites, 34(2), 172–184.

Qi, J., Wang, J., & Ma, Z. (2018). Flexural response of high-strength steel-ultra-high-performance fibre reinforced concrete beams based on a mesoscale constitutive model: Experiment and theory. Structural Concrete, 19(3), 719–734.

Randl, N., Steiner, T., Ofner, S., Baumgartner, E., & Meszoly, T. (2014). Development of UHPC mixtures from an ecological point of view. Construction and Building Materials, 67(C), 373–378.

Rilem, T. C. (2003). Test and design methods for steel fibre reinforced concrete, σ-ω design method. Materials and Structures, 36, 560–567.

Russell, H. G., & Graybeal, B. A. (2013). Ultra-high performance concrete: A state-of-the-art report for the bridge community (Report No. FHWA-HRT-13-060). Federal Highway Administration. hpc/13060/13060.pdf

Shao, X. D., LI, F. Y., Qiu, M. H., et al. (2020). Influential and comparative research on the effects of steel fibre properties on the axial tensile and bending tensile properties of UHPC. China Journal of Highway and Transport, 33(4), 51–64. (in Chinese)

Shen, D. Y. (2017). The basic research on the flexural properties of ultra high performance concrete [M.A. Thesis]. Changsha: Hunan University. (in Chinese)

Singh, H. (2015). Flexural modeling of steel fibre-reinforced concrete members: Analytical investigations. Practice Periodical on Structural Design and Construction, 20(4), 1–10.

Van, Z. G., & Mbewe, P. (2013). Flexural modelling of steel fibre-reinforced concrete beams with and without steel bars. Engineering Structures, 53, 52–62.

Wille, K., & Naaman, A. E. (2012). Pullout behaviour of high-strength steel fibres embedded in ultra-high-performance concrete. ACI Materials Journal, 109(4), 479–487.

Wille, K., & Naaman, A. E. (2010). Bond stress-slip behaviour of steel fibres embedded in ultra high performance concrete. Proceedings of 18th European Conference on Fracture and Damage of Advanced Fibre-Reinforced Cement matrixed Materials, 99–111.

Zhang, Z., Shao, X. D., & Li, W. G. (2015). Axial tensile behaviour test of ultra high performance concrete. China Journal of Highway and Transport, 28(8), 50–58. (in Chinese)

Zhang, Z. (2016). Bending behaviours of composite bridge deck system composed of OSD and reinforced UHPC layer [Ph.D. Thesis, Changsha: Hunan University]. (in Chinese)

DOI: 10.7250/%x


  • There are currently no refbacks.

Copyright (c) 2023 Liu Xinyi, Zhang Rongling, Duan Yun

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.