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Non-linear analysis of pre-tensioned concrete planar beams

机译：预应力混凝土平面梁的非线性分析

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摘要

We have derived a one-dimensional mathematical model and a numerical procedure for the non-linear static analysis of pre-tensioned concrete planar beams, which intends to describe quantitatively the global behaviour as well as some local phenomena in the beam, such as the tangential slip and the traction between the tendon and concrete, with accuracy sufficient for engineering design. The advantage of such a model is its extreme computational efficiency compared to the two- and three-dimensional formulations. A shear-stiff, kinematically exact planar beam theory is used to model each subcomponent of the beam. The bending moment in the tendon is neglected. Cracking of concrete is accounted for using the smeared crack concept. Softening of material, and the related localisation of deformations, is in the numerical solution resolved by the combined use of the arc-length method and the constant strain crack band element, whose dimension is related to the fracture energy of concrete in tension. The tangential slip between the tendon and concrete is fully accounted for, yet the normal separation is not allowed. The model enables us to analyse the variation of slip and the tangential traction on tendons as well as softening of concrete in both tension and compression along the beam axis and in time. The validity of the present one-dimensional model is verified on two pre-stressed simply supported beams previously experimentally and computationally studied in literature (Rabczuk and Eibl, 2004 [2]; Rabczuk et al., 2005 [18]; Rabczuk and Belytschko, 2006 [20]). It is found out that the results of the present one-dimensional model are well in keeping with the experimental and numerical results from literature. Recalling the extreme computational efficiency of the present formulation compared to the 2D and 3D formulations it is concluded that the proposed method of analysis could be very convenient for engineering design.
机译：我们导出了用于预应力混凝土平面梁非线性静力分析的一维数学模型和数值程序，旨在定量描述梁的整体行为以及局部局部现象，例如切线筋和混凝土之间的滑移和牵引力，其精度足以进行工程设计。这种模型的优点是与二维和三维公式相比，其极高的计算效率。剪切刚度，运动学精确的平面梁理论用于对梁的每个子组件建模。忽略了肌腱的弯矩。混凝土的开裂是使用涂抹开裂概念解决的。材料的软化以及相关的变形局部化是通过结合使用弧长法和恒定应变裂纹带单元解决的数值解决方案，其尺寸与混凝土受拉时的断裂能有关。充分考虑了肌腱和混凝土之间的切向滑移，但不允许进行正常分离。该模型使我们能够分析钢筋束上的滑移和切向牵引力的变化以及沿梁轴的拉伸和压缩过程中混凝土的软化以及及时进行。目前的一维模型的有效性在文献中先前通过实验和计算研究的两个预应力简单支撑梁上得到了验证（Rabczuk和Eibl，2004 [2]； Rabczuk等，2005 [18]； Rabczuk和Belytschko， 2006 [20]）。发现该一维模型的结果与文献中的实验和数值结果吻合良好。回顾本配方与2D和3D配方相比的极高计算效率，可以得出结论，所提出的分析方法对于工程设计可能非常方便。

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  • 来源
    《Engineering Structures》 |2013年第1期|279-293|共15页
  • 作者

    M. Markovic; N. Krauberger; M. Saje; I. Planinc; S. Bratina;

  • 作者单位

    University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1115 Ljubljana, Slovenia;

    Building and Civil Engineering Institute ZRMK, Dimiceva 12, SI-1000 Ljubljana, Slovenia;

    University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1115 Ljubljana, Slovenia;

    University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1115 Ljubljana, Slovenia;

    University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1115 Ljubljana, Slovenia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    pre-stressed concrete beam; slip in contact; tension stiffening; kinematically exact beam theory; finite element method;

    机译：预应力混凝土梁;接触张力增强运动学上精确的光束理论;有限元法;

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