A mechanistic model is presented for the strength prediction of squared columns made of masonry with a periodic arrangement and strengthened with a fibre–polymer composite jacketing. The formulation is based on an incremental plasticity theory that relies on equilibrium, compatibility, and kinematic equations. The strength domain of brick units and mortar joints is bounded by a multi-surface yield criterion: a Mohr–Coulomb strength domain with a linear cap in compression and a Rankine cut-off in tension. An elasto-plastic response with limited ductility is assumed for both masonry components. Differently, the FRP response is assumed elastic with a brittle failure governed by a limited tensile strain. Phenomenological-based assumptions are undertaken and justified. Details are also provided for the computational implementation of the procedure. The model accuracy is validated against experimental data on masonry squared columns and compared with existing standard-based formulas. Results demonstrate it provides real-time and accurate compressive strength solutions for squared masonry columns with or without a polymer-based wrapping and yet requiring few input parameters for the masonry constituents and reinforcement.

中文翻译：

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纤维聚合物复合材料加固砌体柱抗压强度预测的力学模型

提出了一个机械模型，用于预测由周期性排列的砖石制成并用纤维聚合物复合材料护套加固的方柱的强度。该公式基于增量塑性理论，该理论依赖于平衡、相容性和运动学方程。砖块和砂浆接缝的强度域受多表面屈服准则限制：莫尔-库仑强度域，在压缩下具有线性上限，在拉伸下具有兰金截止。假定两个砌体构件均具有有限延展性的弹塑性响应。不同的是，FRP 响应被假定为弹性的，并具有受有限拉伸应变控制的脆性破坏。基于现象学的假设被采用并证明是合理的。还提供了该过程的计算实现的详细信息。该模型的准确性根据砖石方柱的实验数据进行了验证，并与现有的基于标准的公式进行了比较。结果表明，它为带有或不带有基于聚合物的包裹物的方形砌体柱提供了实时且准确的抗压强度解决方案，但需要很少的砌体成分和加固输入参数。