New materials and techniques continuously enrich the family of fiber reinforced polymer (FRP) systems to use for retrofit interventions of existing masonry constructions. Recently, the deep mounted flexible (DMF) technique, consisting of the execution of deep grooves in the masonry where FRP strips are placed by using flexible adhesives, have been proposed. The studies available in literature show the potentialities of this technique and its advantages with respect to traditional techniques. At the same time, these studies also emphasize a behavior with specific features influencing the performance of DMF systems which need to be investigated. Aim of the present paper is to propose numerical approaches for the study of the bond behavior of DMF systems. In particular, it is presented both an approach based on the solution of the system of differential equations governing the shear stress transfer mechanism (ODE-DMF), and a simplified finite element schematization (FEM-DMF). Both the approaches are implemented in different computer codes and validated toward case studies derived from literature. The comparison with the experimental tests shows the ability of the proposed modeling approaches to reproduce the experimental response of the examined specimens by underlying features related to the shear stress transfer mechanism between the reinforcement placed in the groove and the surrounding masonry.

新材料和新技术不断丰富了纤维增强聚合物（FRP）系统系列，可用于对现有砖石结构进行改造。近来，已经提出了深安装柔性（DMF）技术，该技术包括通过使用柔性粘合剂在砌筑有FRP条的砖石中执行深槽。文献中的研究表明了该技术的潜力及其相对于传统技术的优势。同时，这些研究还强调了具有影响DMF系统性能的特定特征的行为，需要对其进行研究。本文的目的是提出用于研究DMF系统键行为的数值方法。特别是，它介绍了一种基于控制切应力传递机制的微分方程组解决方案的方法（ODE-DMF），以及一种简化的有限元图解法（FEM-DMF）。两种方法都在不同的计算机代码中实现，并针对源自文献的案例研究进行了验证。与实验测试的比较表明，所提出的建模方法具有通过与置于凹槽中的钢筋和周围砌体之间的剪应力传递机制相关的基础特征来重现被检样品的实验响应的能力。两种方法都在不同的计算机代码中实现，并针对源自文献的案例研究进行了验证。与实验测试的比较表明，所提出的建模方法具有通过与置于凹槽中的钢筋和周围砌体之间的剪应力传递机制相关的基础特征来重现被检样品的实验响应的能力。两种方法都在不同的计算机代码中实现，并针对源自文献的案例研究进行了验证。与实验测试的比较表明，所提出的建模方法具有通过与置于凹槽中的钢筋和周围砌体之间的剪应力传递机制相关的基础特征来重现被检样品的实验响应的能力。