Constitutive model of steel fiber reinforced concrete by coupling the fiber inclining and spacing effect

Huo, Linying; Bi, Jia; Zhao, Yun; Wang, Zhaoyao

doi:10.1016/j.conbuildmat.2021.122423

Cited by 20 publications

(6 citation statements)

References 29 publications

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“…The study of Huang [ 19 ] obtained that the ultimate pullout load and pullout energy increased with the increase in inclination angle from 0° to 45° for the brass-coated straight steel fiber embedded in reactive powder concrete. Similarly, other investigations also indicated that the pullout load reached the peak for straight steel fibers with inclination angle of 30° [ 20 , 21 ], 30° or 45° [ 22 ] and 45° [ 30 ], regardless of the fiber size and the matrix strength, although the consumption energy during pullout could keep increasing as angles to 60° [ 20 ].…”

Section: Introductionmentioning

confidence: 76%

“…Normally, the inclination of steel fibers avoids the direct pullout of steel fibers from cementitious matrix. These benefits to the steel fibers worked together with the cementitious matrix [ 13 , 19 , 20 , 21 ]; however, it leads a potential rupture of fibers and matrix with higher tensile stresses [ 22 , 23 , 24 , 25 , 26 , 27 , 28 ]. In this aspect, the influence of the inclination angle on the pullout behavior of steel fibers depends on the types, size and embedded length of steel fiber and the matrix strength [ 24 , 29 ].…”

Section: Introductionmentioning

confidence: 99%

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Bond Behaviors of Steel Fiber in Mortar Affected by Inclination Angle and Fiber Spacing

Ding

Zhao

et al. 2022

Materials

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Considering the random orientation and distribution of steel fibers in concrete, the synergistic reinforcement of steel fibers on concrete is much complex than the bond of single fiber. It is meaningful to study the bond behavior of steel fiber during many actions. With the inclination angle of steel fiber to pullout direction and the fiber spacing as main factors, this paper carried out fifteen groups of pullout tests for hook-end steel fiber embedded in manufactured sand mortar. The inclination angle ranged from 0 to 60°, and the fiber spacing ranged from 3.5 mm to 21.2 mm. The characteristic pullout load-slip (PL-S) curve of steel fibers are given out after treating the original complete curves of each group test. The values of key points featured the debonding, peak and residual pullout loads and slips are determined from the characteristic PL-S curves. Based on a multi-index synthetical evaluation method, the nominal debonding strength, bond strength, residual bond strength and the debonding work, slipping work, and pullout work, as well as the debonding energy ratio, slipping energy ratio, and pullout energy ratio are analyzed. Results indicate that the bond performance represented by above indexes changes with the inclination angle and spacing of steel fibers. Except for the bond mechanism performing the same as aligned steel fibers by pullout test, the bond is dominated by the resistance of mortar to peeling off near pullout surface and scraping along pullout direction. When the inclination angle is over 15° or 30°, the bond performance is generally decreased, due to the peeling off of mortar on surface of transversal section with a certain depth. When the fiber spacing is over than 5 mm, the bond performance becomes worst due to the scraping out of mortar along with the slip of steel fibers.

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Bond Behaviors of Steel Fiber in Mortar Affected by Inclination Angle and Fiber Spacing

Ding

Zhao

et al. 2022

Materials

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“…where K f is the effective distribution coefficient of steel fibers; L f is the length of the steel fibers; D f is the diameter of steel fibers; τ u is the bond strength between steel fibers and concrete, whereby τ u = 0.6 f c ′ 2/3 [18]; and ρ f represents the volume fraction of steel fibers. Steel fibers are randomly distributed in the concrete matrix, and when the fiber pullout angle exceeds a certain limit, it is considered that the steel fibers have little contribution to the tensile strength of the concrete [25,26]. Therefore, assuming that the x-axis direction is the normal direction of the crack surface, the angle formed between a single steel fiber and the x-axis direction is θ f , as shown in Figure 2.…”

Section: Equilibrium Conditionsmentioning

confidence: 99%

Shear Bearing Capacity Prediction of Steel-Fiber-Reinforced High-Strength Concrete Corbels on Modified Compression Field Theory

Li,

Zheng,

2024

Buildings

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In order to analyze the shear mechanism of the steel-fiber high-strength concrete corbels, a calculation model for the shear bearing capacity of steel-fiber-reinforced high-strength concrete corbels was proposed based on the modified compression field theory. Considering the existence of residual tensile stress in steel-fiber-reinforced concrete at crack locations, the cracked steel-fiber-reinforced concrete was treated as a continuous material. The constitutive relation of cracked steel-fiber-reinforced concrete and the local stress equilibrium equation were modified. It was compared with the results of 34 steel-fiber high-strength concrete corbels, including those in this paper. The predicted results were compared with the experimental values and the predictions of the Fattuhi model, Campione model, and Russo model to validate the rationality of the proposed model. The results revealed that the mean value between the experimental values and the predicted results of the proposed model is 1.104, with a variance of 0.003, showing good agreement. The proposed model can accurately predict the shear bearing capacity of steel-fiber-reinforced high-strength concrete corbels.

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“…It should be emphasized that numerical/analytical models for SHCC generally do not consider such an effect. [40] proposed a constitutive model for Fiber-Reinforced Concrete (FRC), considering the interaction between neighboring fibers. The authors suggested that the group effect becomes significant when the spacing between fibers s is smaller than an influence diameter d eff .…”

Section: Fiber Content/group Effectmentioning

confidence: 99%

“…The authors suggested that the group effect becomes significant when the spacing between fibers s is smaller than an influence diameter d eff . By analogy to the pile group effect under the negative friction resistance, the following was adopted: d eff = 6d f (Figure 5, adapted from Huo et al ( 2021) [40]). Based on this theory, the critical fiber volumetric fraction is 4.58%.…”

Section: Huo Et Al (2021)mentioning

confidence: 99%

Modeling the Tensile Behavior of Fiber-Reinforced Strain-Hardening Cement-Based Composites: A Review

et al. 2023

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Strain-Hardening Cement-Based Composites (SHCCs) exhibit high toughness and durability, allowing the design of resilient structures. Despite the exceptional properties of SHCC and the current modeling techniques, the widespread use of the composite is limited. One limiting factor is developing and validating analytical models that could be used for optimizing mixes and designing structural elements. Furthermore, the composite mechanical response is complex and depends on several phenomena, such as fiber pullout, fiber orientation and distribution, size effect, fiber content, group effect, embedding length, fiber dimensions, and matrix strength. In this context, this research presents the state-of-the-art on the micro- and mesomechanisms occurring in SHCC during cracking and robust techniques to predict its tensile behavior accounting for such phenomena already proved experimentally. The study is relevant for designers and the scientific community because it presents the gaps for the research groups to develop new investigations for consolidating SHCC, which is a material to produce resilient structures.

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Constitutive model of steel fiber reinforced concrete by coupling the fiber inclining and spacing effect

Cited by 20 publications

References 29 publications

Bond Behaviors of Steel Fiber in Mortar Affected by Inclination Angle and Fiber Spacing

Bond Behaviors of Steel Fiber in Mortar Affected by Inclination Angle and Fiber Spacing

Shear Bearing Capacity Prediction of Steel-Fiber-Reinforced High-Strength Concrete Corbels on Modified Compression Field Theory

Modeling the Tensile Behavior of Fiber-Reinforced Strain-Hardening Cement-Based Composites: A Review

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