Approximate limit analysis of full scale FRP-reinforced masonry buildings through a 3D homogenized FE package

A 3D homogenized FE limit analysis software for the numerical prediction of collapse loads and failure mechanisms of entire masonry buildings reinforced with FRP strips is presented. In particular, a two steps approach is adopted: in step I, masonry homogenized failure surfaces are obtained through an admissible kinematic FE approach in the representative element of volume (REV), constituted by a brick interconnected with its six neighbors with finite thickness mortar joints. 8-Noded rigid infinitely resistant parallelepiped elements interconnected with interfaces with frictional behavior and limited tensile and compressive strength are utilized to model the REV. A simple linear programming problem in few variables is obtained, suitable to recover numerically masonry failure surfaces when loaded in- and out-ofplane. In step II, homogenized failure surfaces are implemented in the novel FE kinematic limit analysis software for an inexpensive evaluation of collapse loads of entire buildings. Delamination is considered in the model imposing to FRP–masonry interfaces a limited resistance in agreement with Italian code CNRDT- 200. 6-Noded rigid infinitely resistant 3D wedge-shaped elements are used to model homogenized masonry, whereas FRP strips are modeled by means of triangular 3-noded rigid elements. A two story masonry building reinforced in various ways with FRP strips and experimentally tested at Georgia Tech under quasi-static horizontal loads is analyzed to assess numerical results. Good agreement is found both in presence and absence of reinforcement, meaning that the procedure proposed may be used by practitioners for a reliable evaluation of collapse loads and failure mechanisms of complex 3D strengthened masonry structures.