3D Finite Element Model for Shear-dominant Failure of Reinforced Concrete Beams

Ridwan Rahman, Ilham Akbar, Rofriantona Rofriantona
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Abstract

This study explores the 3D FE modelling approach in determining the behaviour of shear-dominant responses of RC beams. Five RC beams (A1, A2, B1, C2 and C3) with different cross-sections, amount of tension reinforcement area, amount of shear reinforcement and the length of the span was analysed and the results were compared with the results of the experiment and 2D analysis available in published literature. RC beams analysed in this FE study were constructed as a discrete model using ABAQUS software. The concrete and the plate for loading as well as for supports were modelled using the C3D8R element while longitudinal steel bars and stirrups were modelled with the T3D2 element. The interaction between the steel bar and the concrete in the FE model was assumed perfectly bond. The material behaviour of concrete was modelled with the damage plasticity model where the yield or failure of the material was governed by the tensile cracking and the compressive crushing of the concrete by introducing the hardening variables. The results showed that crack propagation in the FE analysis matched the cracks observed in the test. The crack pattern on Beam A1, A2, B1 and C2 indicated that the specimens experienced flexure and shear failure while Beam C3 experienced less brittle behaviour. Estimates of strength and the load–deformation response of 3D analysis were certainly achieved with reasonable accuracy compared to that of 2D analysis. The difference of experiment-to-2D strength (Pu,exp - Pu,2D / Pu,exp) had a mean of 4.53 whereas the difference of experiment-to-3D strength (Pu,exp - Pu,3D / Pu,exp) had a mean of 1.83. Furthermore, the displacements at ultimate load gained in the 3D analysis were comparable to those of experiments. The difference of experiment-to-2D (du,exp - du,2D / du,exp) and experiment-to-3D (du,exp - du,3D / du,exp) midspan displacement had a mean of 19.91 and 10.89, respectively.
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钢筋混凝土梁受剪破坏的三维有限元模型
本研究探讨了三维有限元建模方法在确定钢筋混凝土梁的剪切为主响应的行为。对A1、A2、B1、C2和C3 5根不同截面、受拉配筋面积、受剪配筋面积和跨长的RC梁进行了分析,并与试验结果和已发表文献的二维分析结果进行了比较。本有限元研究中分析的RC梁采用ABAQUS软件构建为离散模型。混凝土和加载板以及支撑使用C3D8R单元建模,而纵向钢筋和马镫使用T3D2单元建模。在有限元模型中假定钢筋与混凝土之间的相互作用是完全粘结的。混凝土的材料行为用损伤塑性模型建模,其中材料的屈服或破坏由混凝土的拉伸开裂和压缩破碎控制,通过引入硬化变量。结果表明,有限元分析中的裂纹扩展与试验中观察到的裂纹相吻合。A1、A2、B1和C2梁的裂纹模式表明试件经历了弯曲和剪切破坏,而C3梁的脆性行为较少。与二维分析相比,三维分析的强度和荷载-变形响应估计肯定具有合理的精度。实验-2D强度差值(Pu,exp - Pu,2D / Pu,exp)均值为4.53,实验-3D强度差值(Pu,exp - Pu,3D / Pu,exp)均值为1.83。此外,三维分析得到的极限荷载下的位移与实验结果相当。实验-2D (du,exp - du,2D / du,exp)和实验-3D (du,exp - du,3D / du,exp)跨中位移差值均值分别为19.91和10.89。
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