A Novel BESO Methodology for Topology Optimization of Reinforced Concrete Structures: A Two-loop Approach

A new topology optimization methodology for reinforced concrete structures is proposed. The structures are optimized in two iterative loops, where different sensitivity criteria are used to determine the regions to be topologically optimized. For the first loop, the compliance criterion is used to determine the higher compliance elements and, consequently, remove the concrete from the computational domain. In the next loop, only failed concrete regions (Ottosen failure surface) are replaced by reinforcement, ensuring that complies with the von Mises criterion. In the end, the sizing of the reinforcements is obtained based on the principal forces in the steel regions. Results regarding the mechanical behavior, cost, volume, and mass of the optimized structures are presented in this study. A case study indicated that the proposed methodology can lead to volume, mass, and cost reductions of 20%, 21.5%, and 56%, respectively.