A model for the uniaxial tensile behaviour of Textile Reinforced Concrete with a stochastic description of the concrete material properties

In this contribution, a model for the uniaxial tensile behaviour of Textile Reinforced Concrete, which is a composite of a cementitious matrix and a reinforcement of multi-filament yarns of high-performance fibres processed to textiles, is enhanced with a stochastic formulation of the constitutive law for the cementitious matrix and the bond strength between matrix and reinforcement. The model, which is implemented in the finite element method, consists of one-dimensional bar elements and bond-link elements arranged in a regular lattice scheme. While the bar elements represent either the matrix or parts of the reinforcement, the bond elements are used to model the load transfer between those. The fluctuations of the material properties of the matrix are modelled by means of random fields. With this model parametric studies are performed to investigate the influence of the scatter in the material properties on the material behaviour of Textile Reinforced Concrete.