Keywords: heterogeneous limit analysis, reinforcement, masonry arch, non-associated sliding.

Masonry arch and vault masonry structures, one of the widespread architectural her-itages in the western and eastern world, have been standing for a long era. Heteroge-neous limit analysis is a powerful tool for the collapse analysis and structural safety assessment of these historical structures, which not only can predict the collapse per-formance of the structures in a quick manner but can consider the real discretization of the masonry most precisely. This contribution proposes a heterogeneous model for masonry arches in presence of innovative strengthening (FRP/FRCM). The reinforce-ment is considered suitably modifying the admissibility conditions of the constitutive law that governs the behavior of contact joints. First, the force resultants at the inter-face after the reinforcement is investigated. Based on that, the yield condition and flow rule in the standard heterogeneous limit analysis formulation are updated. This approach is applied to solve both associated and non-associated sliding cases. A 9-block 2D arch with FRP reinforcement is considered to show the implementation of the theory. The results of the provided example show that when analyzing the arch with reinforcement, the associated limit analysis may overestimate the ultimate load. Such overestimation will even increase when the frictional angle drops. Therefore, it is necessary to employ the non-associated flow rule for an accurate prediction of the collapse performance of reinforced arches.

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