Abstract
One of the principle issues concerning the practical application of steel fiber reinforced concrete (SFRC) is the uncertainty related to its structural behavior, primarily caused by the partially random distribution and orientation of steel fibers in SFRC structural elements. This paper aims to provide a better understanding of how the variance of material properties of the SFRC affects the flexural behavior of SFRC beams. First, a distributed plasticity fiber finite element model of beam flexural behavior is proposed and validated. Then, probability distributions of selected material properties are defined based on existing probabilistic models and experimental results from the literature. Finally, a variance-based sensitivity analysis is performed using Sobol’ indices to identify uncertainties in material properties that contribute most to the uncertainties related to three characteristic points of a beam’s flexural behavior: first crack, yield, and collapse point. Sensitivity analysis is performed by surrogating the numerical model using polynomial chaos expansion. The variance in residual tensile strength is identified as the main contributor to the variance in the flexural behavior of an SFRC beam used in the case study.
Highlights
Brittle failure of concrete in tension can be avoided or delayed by adding randomly dispersed steel fibers to the concrete mixture
Experimental investigations conducted in the last few decades identified several advantages of steel fiber reinforced concrete (SFRC)
Buzzini et al [13] simulated the SFRC wall flexural response using a numerical model with solid finite elements and a modified concrete stress–strain relation using the Concrete Damaged Plasticity model as defined in the ABAQUS software, to include the effect of steel fibers on concrete’s tensile strength
Summary
Brittle failure of concrete in tension can be avoided or delayed by adding randomly dispersed steel fibers to the concrete mixture. Buzzini et al [13] simulated the SFRC wall flexural response using a numerical model with solid finite elements and a modified concrete stress–strain relation using the Concrete Damaged Plasticity model as defined in the ABAQUS software, to include the effect of steel fibers on concrete’s tensile strength. Analytical models usually incorporate the uncertainty related to fiber distribution and orientation into several coefficients used to deterministically calculate the tensile and residual tensile strength of SFRC, while more advanced, but computationally more expensive, numerical models explicitly consider this uncertainty using Monte Carlo sampling, to generate an instance of a potential fiber mesh of a structural element.
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