Finite element modelling of T-shaped RC beams with locally reduced cross sections

A novel seismic retrofit technique, known as the section reduction (SR) technique, was proposed for reinforced concrete (RC) frames to realize the strong column and weak beam hierarchy. The SR technique involves the removing a portion of concrete at the bottom zone of the beam near the joint, along with shear strengthening of the weakened area using fiber-reinforced polymer (FRP). Preliminary experimental studies on RC beams with locally reduced cross sections (i.e., a gap) have demonstrated that the inclusion of a gap can effectively weaken the negative bending capacity of a T-shaped RC beam. However, there was no finite element (FE) approach for predicting the behaviour of such RC beams. Therefore, this paper aims at establishing a reliable FE approach for T-shaped RC beams with a gap. A total of five gap sizes were examined, including three small gap sizes and two large gap sizes. The applied FRP-strengthening system consisted of the CFRP U-jackets below and on both sides of the gap. In the proposed FE approach, two concrete cracking models available in ABAQUS/Explicit, including the concrete damaged plasticity (CDP) model and the brittle cracking (BC) model, were examined. Moreover, two tensile damage models were considered. The FE results showed that the CDP model with a power law tensile damage model is suitable for specimens that failed in a flexural mode, while the BC model with secant modulus of concrete adopted is suitable for specimens failing in a shear mode. The FE results also verified that increasing the gap height reduces the negative bending capacity of the beam more effectively than increasing the gap length, and the application of the FRP-strengthening system can enhance the ductility of the weakened beam. The proposed FE approach can be used for the subsequent proposal of strength model and design method of such beams.