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Abstract Studying the behavior of historic masonry walls subjected to different loading conditions, along with the identification of causes of cracks and deformations are the major obstacles in any restoration project. The available tools and software packages for numerical modeling are not designed to support the numerical analysis of masonry. Therefore, the primary goal of this work is to develop a reliable mathematical model for historic masonry walls through accounting the different aspects affecting the behavior. For such purpose, A multi-phase macro masonry model was developed to achieve a feasible mesh for large walls rather than adopting micro model with distinctive elements for each constituent. Within the macro element, the interaction among the different constituents was accounted for. The response of each constituent could be separately dealt with through nonlinear microscopic analysis. This have been achieved by utilizing a mathematical formulation which A finite element model was developed to simulate geometrical, material, and loading, conditions of such walls. The inelastic response of different masonry constituents was considered by utilizing a nonlinear material model using the theory of plasicity. The model accounts for the behavior of multiple leaf walls by incorporating different layers in the macro element. A model for steel reinforcement was also adopted. Finally, the proposed models and formulations were implemented in a Fortran code. The proposed overall model was verified through the comparison with several available experimental results of masonry assemblages under different states of stresses. Utilizing the overall model, parametric studies were conducted to cover a wide range of the parameters affecting the behavior of historic multiple leaf masonry walls. The geometric, material, and loading parameters as well as their interactions were involved in this study. The model was used to predict the in-plane lateral capacity, lateral deformation, and crack pattems associated with different modes of failure. The effect of strengthening of historic walls by grouting injection was also investigated. Moreover, the effect of strengthening by stitching internal reinforcing bars was examined. Using the predicted results, a simplified empirical formula was suggested in order to determine the shear wall capacity. The evaluation and retrofitting techniques of historic masonry walls were discussed. Different investigative techniques required to evaluate the current state of the wall and to specify the strengthening work were presented. The most common rehabilitation and strengthening techniques of historic masonry were also reported. |