This study completes to a great extent the derivation of the constitutive relationships for StrainHardening Cement-based Composites (SHCC) subjected to tensile loading. These constitutive relationships are developed on the basis of a multi-scale modelling approach which considers the definitive physical phenomena observed in experimental investigations, especially in pullout tests. In previous studies by the authors, fibre pullout behaviour under monotonic as well as cyclic loading was described by a multi-linear relation. A statistical approach was used to consider the variance of the pullout response of individual fibres as observed in the experiments, where fibre embedment length and inclination served as main parameters. In this study these responses are superimposed in order to describe the stress-crack opening behaviour of each individual crack during loading, unloading, and reloading. Subsequently, characteristic stress-strain relations for SHCC under tensile loading are derived by considering an increasing number of serial cracks and the contribution of the uncracked matrix. Particular cracking behaviour is adjusted by varying the model parameters. The modelled tensile behaviour is compared with the representative results of the uniaxial tensile tests performed on the investigated SHCC and discussed.
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