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Extended cracked membrane model for the analysis of RC panels

机译：用于RC面板分析的扩展裂纹膜模型

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摘要

A new model considering fixed and interlocked cracks for the analysis of reinforced concrete (RC) cracked membrane elements is presented. The model can be regarded as an extension of the cracked membrane model proposed by Kaufmann and Marti. Its value lies in eliminating the need to resort to empirical averaged stress-strain relations for the reinforced concrete material, while being sufficiently simple for implementation in a robust finite element formulation. Equilibrium is formulated in terms of stresses at the cracks, enabling the use of fundamental theoretical models for the individual mechanical phenomena governing shear behaviour, such as concrete compression softening, aggregate interlock (including crack dilatancy effects) and tensile bridging stresses. Reinforcement stresses at the cracks are obtained from the average strains assuming a stepped rigid plastic bond shear stress-slip law according to the tension chord model. This allows for a consistent treatment of the tension stiffening effects and a proper evaluation of steel deformation capacity in the post-yielding stage. A rational and quantitative description of the stress/strain fields both at the cracks and in between the cracks is derived, which allows a deeper understanding of the complex mechanics involved in shear behaviour of cracked membrane elements. A validation campaign was undertaken using a database with the experimental results of 54 RC panels subjected to in-plane shear and axial stresses. The failure modes, failure loads and stress-strain curves are, in general, accurately predicted.
机译：提出了一种考虑固定裂纹和互锁裂纹的新模型，用于分析钢筋混凝土裂纹膜单元。该模型可以看作是Kaufmann和Marti提出的裂膜模型的扩展。它的价值在于消除了对钢筋混凝土材料求取经验平均应力-应变关系的需要，同时对于以稳健的有限元公式化实施而言足够简单。平衡是根据裂缝处的应力来制定的，从而可以针对控制剪切行为的各个机械现象使用基本的理论模型，例如混凝土压缩软化，骨料互锁（包括裂缝膨胀效应）和拉伸桥应力。根据张力弦模型，假设阶跃刚性塑料粘结剪切应力-滑移定律，则从平均应变获得裂纹处的增强应力。这样可以对屈服加强效果进行一致的处理，并可以在屈服后阶段正确评估钢的变形能力。得出了裂纹处以及裂纹之间的应力/应变场的合理和定量的描述，这使人们可以更深入地了解裂纹膜单元的剪切行为所涉及的复杂力学。使用数据库进行了一次验证活动，该数据库具有54个RC面板承受平面内剪切和轴向应力的实验结果。通常，可以准确地预测失效模式，失效载荷和应力应变曲线。

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