Simulation of Scattering of Bending Characteristics of FRCC based on Bridging Law Considering Fiber Distribution

Abstract

It is well known that tensile and bending characteristics of fiber-reinforcedcementitious composite (FRCC) are influenced by fiber orientation and distribution. In this study, a visualization simulation is conducted using sodium silicate solution (known as water glass) to observe the flow patterns of the fibers in the beam specimen. The results of the visualization simulation are discussed mainly for the distribution of the position of each single fiber. In this study, based on the visualization results, Poisson distribution for expressing the position of fibers is adopted to calculate the bridging law (tensile stress – crack width relationship), inwhich the pullout properties of the single fiber are considered. The influence of fiber orientation is also considered in the calculation using the elliptic function characterized by the principal orientation angle and the orientation intensity. The scattering of maximum tensile stress (bridging strength) can be confirmed by Monte Carlo simulation (MCS), in which the fiber distribution following Poisson distribution is considered. The calculated bridging law is modeled by trilinear model, and section analysis is conducted to compare with the bending test results using polyvinyl alcohol (PVA) fiber. The possibility to evaluate the variation of bendingstrength can be found out by considering fiber distribution

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