A Voronoi Based Discrete Numerical Approach for Modelling Reinforcement in Concrete Structures

SUMMARY In this paper, we present a novel discrete lattice numerical model for modelling reinforcement in concrete structures. Concrete behaviour is represented here by Voronoi cells and Timoshenko beams as cohesive links between them. Reinforcement bars are explicitly implemented as separate beam elements, while the connection between the concrete and reinforcement is established through the bond elements. Each bond element is positioned between the concrete node and reinforcement node inside the Voronoi cell that crosses the reinforcement bar. Numerical tests are performed to demonstrate the capabilities of the discrete model to predict the response of reinforced concrete structures in the linear elastic stage. The paper also covers the review of different numerical models for modelling reinforced concrete. The overview of research areas in the development of numerical models for reinforced concrete is divided with regards to the manner of modelling cracks, discretisation of the concrete domain and modelling of reinforcement.