A Modelling Framework for the Tensile Behavior of Multiple Cracking Composite

In this paper, we present a framework for modelling of the multiple cracking behaviors of unidirectional reinforced composites under tensile loading. The property of the bond interface between the matrix and the reinforcement has significant influence on the mechanical behavior. The proposed framework can handle a variety of bond properties, such as the random bond intensity of non-impregnated reinforcement consisting of multiple yarns, or the non-linear bond-slip law where the shear stress can be characterized as a non-linear function of the slip. We focus on the textile reinforced concrete (TRC) which uses impregnated textiles as reinforcement. Its bond property falls into the category of non-linear bond-slip law. A sequential inverse analysis procedure is proposed to derive the bond-slip law in TRC from the experimental results of pull-out tests. Based on the obtained bond-slip law, a local crack bridge model concerning the tensile behavior of a local crack bridge is formulated. Combining the crack bridge model with the crack detecting algorithm, the cracking history and the stress-strain curves can be numerically determined.