Modelling and Experimental Characterization of the Tensile Response of Ultra-High Performance Fibre-Reinforced Cementitious Composites

Predicting the Tensile Behaviour of Ultra-High Performance Fibre-Reinforced Concrete from Single-Fibre Pull-Out Tests

“…Several authors [ 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 ] proposed prediction models for the tensile behaviour based on single-fibre pull-out force contributions. The prediction models by Li et al [ 16 ] and Wuest et al [ 17 ] integrate the force contributions of crack-crossing fibres over the entire crack plane in the tensioned fibre reinforced concrete.…”

“…The force contribution of individual crack-crossing fibres can be approximated from single-fibre pull-out tests for selected fibre orientations and embedded lengths [ 18 , 21 , 27 , 28 , 29 ] or by analytical equations [ 19 , 20 , 23 , 24 ]. For modelling purposes, the experimental single-fibre pull-out curves are averaged [ 25 ] or idealised [ 23 , 27 ] as piecewise linear with cut points equal to the tensile force at the end of the linear phase and the ultimate force. Besides the fibres, also the matrix contributes to the tensile resistance.…”

“…This should be taken into account for formulating more realistic models. Empirical fibre orientation distributions determined by image analysis are used in [ 25 , 27 , 36 ] while [ 37 ] derive orientation information from hydrodynamic equations related to concrete flow. The authors are not aware of any study that models the fibre direction distribution stochastically beyond the previously mentioned simple uniformity assumptions or empirical investigations.…”