A Numerical Model for FRCM Reinforced System Based on Bisection Procedure

The application of Fiber Reinforced Cementitious Matrix (FRCM) composites for the reinforcement of building surfaces is more and more common, especially for masonry structures, thanks to their compatibility and the ability to reverse the intervention process. Various analytical and numerical models have been developed to replicate the bond behavior of this complicated system. However, most existing simplified models tend to focus on either the failure of the fiber-mortar interface or the mortar-substrate interface. The influence of mortar cracking and the presence of masonry joints are aspects that have not been extensively investigated. In this paper, we introduce a mathematical model that considers the failures of both the fiber-matrix and matrix-masonry interfaces, as well as the damage to the mortar matrix. We address the debonding problem by formulating an ordinary differential equation (ODE) system and employing a 2D bisection procedure after discretization along the bond length. Two scenarios are discussed, one with consideration of mortar joints and one without. Comparative analysis with existing experimental data and models reveals that the current model performs promisingly in predicting global stress-slip curves.