A generalized finite element beam with an embedded rotation discontinuity coupled with a 3D macroelement is proposed to assess, till complete failure (no stress transfer), the vulnerability of symmetrically reinforced concrete frame structures subjected to static (monotonic, cyclic) or dynamic loading. The beam follows the Timoshenko beam theory and its sectional behavior is described in terms of generalized forces and generalized strains. The beam response up to the peak is described by a macroelement, based on plasticity theory, that adopts a 3D failure criterion expressed in terms of axial force, shear force and bending moment. The Embedded Finite Element Method is then adopted to reproduce bending dominated failure, with a global cohesive model that links the cohesive moment to a rotational jump. The formulation allows for remedy of localization phenomena and significant reduction of the necessary computational time. The performance of the proposed simplified strategy is illustrated by comparison with experimental results.

中文翻译：

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具有嵌入式旋转不连续性的广义 Timoshenko 梁耦合三维宏元以评估钢筋混凝土框架结构的脆弱性


提出了一种具有嵌入式旋转不连续性耦合 3D 宏元的广义有限元梁，以评估对称钢筋混凝土框架结构在静态（单调、循环）或动态载荷下的脆弱性，直到完全失效（无应力传递）。该梁遵循 Timoshenko 梁理论，其截面行为用广义力和广义应变来描述。直到峰值的光束响应由基于塑性理论的宏观元件描述，该宏观元件采用以轴向力、剪切力和弯矩表示的 3D 失效准则。然后采用嵌入式有限元方法重现弯曲为主的失效，并使用全局内聚模型将内聚力矩与旋转跳跃联系起来。该公式允许补救局域现象并显著减少必要的计算时间。通过与实验结果的比较来说明所提出的简化策略的性能。