Debonding of FRP in multi-span masonry arch structures via limit analysis

In this work, a numerical procedure is proposed in order to evaluate the collapse load of multi-span masonry arch structures with externally bonded reinforcement (EBR), such as FRP, subject to debonding. The model of the structure is composed of quadrangular blocks with EBR applied on some sides of the blocks. The constitutive behaviour of the interface between to adjacent blocks is characterized by no tension, associated frictional sliding and crushing. The bonding between EBR and the masonry block is not perfect as the EBR can slide with respect to the block. The collapse load of the above-mentioned structural model is determined by the method of limit analysis. To this end, linear programming problems are implemented involving both the primal and dual formulation in order to define the structural problem both kinematically and statically. The numerical examples illustrate the influence of some parameters of the EBR on the collapse load of multi-span masonry arch structures.