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 梁与 3D 宏观单元相结合，用于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和 3D 宏观单元的广义有限元梁，用于评估对称钢筋混凝土框架结构在静态（单调、循环）或动态载荷作用下的脆弱性，直至完全失效（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。达到峰值的梁响应由基于塑性理论的宏观单元描述，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来重现弯曲主导的失效，并使用将内聚力矩与旋转跳跃联系起来的全局内聚模型。该公式可以纠正定位现象并显着减少必要的计算时间。通过与实验结果的比较说明了所提出的简化策略的性能。