A fracture mechanics approach to the design of hybrid-reinforced concrete beams

Accornero, Federico; Rubino, Alessio; Carpinteri, Alberto

doi:10.1016/j.engfracmech.2022.108821

Cited by 13 publications

(2 citation statements)

References 52 publications

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“…On the other hand, a piecewise function—indicated as f in Figure 4b—is suggested to describe the pull‐out behavior of hooked‐end fibers. The analytical expression of the piecewise function currently implemented in UBCM was recently defined by the authors in Accornero et al 45 By keeping unchanged the shape of the bridging law, which is intended as a property of the fiber reinforcement, the related toughening contribution can be synthetically described by two parameters: (i) the slippage strength of the fiber, σ s , beyond which the fiber pull‐out is triggered; (ii) the fiber embedment length, w c , beyond which the fiber bridging action is exhausted.…”

Section: The Updated Bridged Crack Modelmentioning

confidence: 99%

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Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Rubino

Accornero

Carpinteri

2023

Structural Concrete

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Hybrid reinforced concrete (HRC) can be defined as a cementitious material in which the reinforcing secondary phase consists of a combination of continuous steel rebars and of short discontinuous fibers, randomly distributed within the concrete matrix. For these structural elements, experimental flexural tests highlight how the postcracking response of the composite is strongly affected by the amount of steel bars together with reinforcing fibers. In the present work, it is shown that the action of these two contributions can be clearly interpreted in the framework of Fracture Mechanics through the Updated Bridged Crack Model (UBCM). The model assumes nonlinear constitutive laws to describe the toughening action of the reinforcing secondary phases, which are related to the yielding of steel rebars and to the pull‐out of the short fibers. Under these assumptions, different postcracking regimes depending on three scale‐dependent dimensionless numbers can be predicted: the bar‐reinforcement brittleness number, NP, which is directly related to the steel bar area percentage, ρ; the fiber‐reinforcement brittleness number, NP,f, which is directly related to the fiber volume fraction, Vf; and the pull‐out brittleness number, Nw, which depends on the critical embedment length of the fiber‐reinforcement, wc. The couples of critical values of the two reinforcement brittleness numbers define the minimum reinforcement conditions of the HRC structural element—that is, the combination of ρmin and Vf,min required to guarantee a stable post‐cracking response—including its scale dependence. A parametrical analysis is presented together with the modeling of an experimental campaign reported in the literature in order to assess the effectiveness of the UBCM.

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Section: The Updated Bridged Crack Modelmentioning

confidence: 99%

“…The model, which was originally proposed for the case of steel-bar RC elements, [29][30][31] has been recently extended by the authors to the case of FRC [40][41][42][43] and HRC. 44,45 2 | THE UPDATED BRIDGED CRACK MODEL…”

Section: Introductionmentioning

confidence: 99%

Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Rubino

Accornero

Carpinteri

2023

Structural Concrete

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A Fracture Mechanics Approach to the Design of Fibre-Reinforced and Hybrid-Reinforced Concrete Beams

Accornero

Rubino

Carpinteri

2023

Lecture Notes in Civil Engineering

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Scale effects in the post-cracking behaviour of fibre-reinforced concrete beams

2022

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The scale effects on the global structural response of fibre-reinforced concrete (FRC) beams subjected to bending are discussed in the framework of Fracture Mechanics by means of the Updated Bridged Crack Model (UBCM). This model predicts different post-cracking regimes depending on two dimensionless numbers: the reinforcement brittleness number, NP, which is related to the fibre volume fraction, Vf; and the pull-out brittleness number, Nw, which is related to the fibre embedment length, wc. Both these dimensionless numbers depend on the beam depth, h, which, keeping the other variables to be constant, drives a ductile-to-brittle transition in the post-cracking regime of the composite. The critical value of the reinforcement brittleness number, NPC, allows for prediction of the minimum (critical) specimen size, hmin, which, analogously to the minimum fibre volume fraction, Vf,min, is required to achieve a stable post-cracking response. Numerical simulations are compared to experimental results reported in the scientific literature, in which FRC specimens, characterized by the same fibre volume fraction but different sizes, are tested in bending.

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A fracture mechanics approach to the design of hybrid-reinforced concrete beams

Cited by 13 publications

References 52 publications

Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

A Fracture Mechanics Approach to the Design of Fibre-Reinforced and Hybrid-Reinforced Concrete Beams

Scale effects in the post-cracking behaviour of fibre-reinforced concrete beams

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