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首页> 外文期刊>Journal of Engineering Mechanics >Displacement-based and two-field mixed variational formulations for composite beams with shear lag
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Displacement-based and two-field mixed variational formulations for composite beams with shear lag

机译：剪切滞后复合梁基于位移的两场混合变分公式

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摘要

Displacement-based and two-field mixed beam elements are proposed for the linear analysis of steel-concrete composite beams with shear lag and deformable shear connection. The kinematics of the shear lag relies on a parabolic shear warping function of uniform shape along the slab. These assumptions are verified by comparing a closed-form solution of the composite beam problem with the results provided by the ABAQUS code. Moreover, three displacement-based finite elements and two mixed elements where both variables, forces, and displacements are approximated within the elements are developed especially for very coarse discretizations. All models neglect uplift and consider shear connectors using distributed interface elements. Locking problems that arise in the 10 degrees-of-freedom (DOF) displacement-based element which ensures the lowest regularity required by the problem are detected. Then, a locking-free element which relies on a reduced integration and a scaling factor method is proposed and analyzed for fine mesh discretizations. Energy errors and convergence rates of the proposed elements are illustrated while numerical examples dealing with a fixed-end steel-concrete composite beam and a simply supported concrete Tee beam are considered to confirm the validity of the closed-form solution and illustrate the performance of the proposed elements, especially of the ones with 10 and 13 DOF.
机译：提出了基于位移的两场混合梁单元，对具有剪力滞后和可变形剪力连接的钢混凝土组合梁进行线性分析。剪切滞后的运动学依赖于沿平板形状均匀的抛物线形剪切翘曲函数。通过将复合梁问题的封闭形式解与ABAQUS代码提供的结果进行比较，可以验证这些假设。此外，特别针对非常粗糙的离散化，开发了三个基于位移的有限元和两个混合元，其中变量，力和位移都在其中近似。所有模型都忽略了隆起，而是考虑使用分布式接口元素的剪力连接器。检测在基于10自由度（DOF）位移的元素中出现的锁定问题，该问题可确保问题所需的最低规则性。然后，提出了一种依赖于减小的积分和比例因子方法的无锁定元件，并对其进行了精细网格离散化分析。说明了拟议元素的能量误差和收敛速度，同时考虑了有关固定端钢筋混凝土组合梁和简支混凝土T形梁的数值示例，以确认封闭形式解决方案的有效性并说明了其性能。建议元素，尤其是具有10和13自由度的元素。

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