The present paper introduces a new elastoplastic beam model for reinforced concrete based on a higher-order beam model previously developed (Int J Numer Methods Eng. https://doi.org/10.1002/nme.5926 , 2018 ). Steel and concrete are both defined as elastoplastic materials. The beam model represents the concrete body whereas rebars are given a specific discretization. A Rankine criterion is used for concrete in both tension and compression, and a closed-form solution for the local projection of the trial stress on the yield surface is formulated. Steel rebars are modelled with 1D bar elements and added to the global stiffness of the concrete beam model. The kinematics of the higher-order beam model is enriched by a systematic method with displacement modes. This extension of the kinematics leads to local accuracy and yields results comparable to 3D computations. The present reinforced concrete model is validated through a set of case studies. Implemented within the software programs of the company Strains Engineering, the objective is to develop a fast computing and efficient model that can be directly used by engineers.

中文翻译：

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一种新的钢筋混凝土高阶弹塑性梁模型

本论文基于先前开发的高阶梁模型介绍了一种新的钢筋混凝土弹塑性梁模型（Int J Numer Methods Eng. https://doi.org/10.1002/nme.5926, 2018）。钢和混凝土都被定义为弹塑性材料。梁模型代表混凝土体，而钢筋被赋予特定的离散化。Rankine 准则用于混凝土的拉伸和压缩，并制定了试应力在屈服面上局部投影的封闭形式解。钢筋使用 1D 钢筋元素建模，并添加到混凝土梁模型的整体刚度中。高阶梁模型的运动学通过具有位移模式的系统方法得到丰富。运动学的这种扩展导致局部精度并产生与 3D 计算相当的结果。目前的钢筋混凝土模型通过一组案例研究得到验证。在公司应变工程的软件程序中实施，目标是开发一个可以直接被工程师使用的快速计算和高效的模型。