The performance characterization of a critical component like T-joints in piping systems for the purposes of fragility assessment requires experimental data. The component level experimental data is limited to specific thicknesses and diameters of the specimen used. Therefore, the experimentally obtained empirical models for incorporation into the simulation study cannot be extended directly to the different thickness and diameter of the pipe. This is a fundamental drawback in developing empirical models using the experimental data directly. Conducting multiple experiments for different pipe properties can be quite costly and impractical. Therefore, there is a need to incorporate a closed-form solution which can exhibit a reasonable reconciliation between the experimental and simulation data. A closed-form solution, which represents the behavior of a T-joint as a function of geometrical properties of the pipe, can also pave the way to account for degradation mechanism. This manuscript presents a new approach to characterize T-joint behavior through a closed-form solution. A closed-form solution can characterize T-joint behavior in a generalized form that allows assessment of the effect of pipe thicknesses on the T-joint behavior.

用于脆弱性评估的管道系统中关键部件（如 T 形接头）的性能表征需要实验数据。组件级实验数据仅限于所用样品的特定厚度和直径。因此，通过实验获得的用于模拟研究的经验模型不能直接扩展到管道的不同厚度和直径。这是直接使用实验数据开发经验模型的一个基本缺点。针对不同的管道特性进行多次实验可能非常昂贵且不切实际。因此，需要合并一个封闭形式的解决方案，它可以在实验和模拟数据之间表现出合理的协调。一个封闭形式的解决方案，它将 T 形接头的行为表示为管道几何特性的函数，也可以为解释退化机制铺平道路。这份手稿提出了一种通过封闭形式解决方案来表征 T 型接头行为的新方法。封闭形式的解决方案可以以广义形式表征 T 形接头行为，从而可以评估管道厚度对 T 形接头行为的影响。