The bond between concrete and reinforcement is one of the critical parameters influencing the structural behavior of reinforced concrete (RC). This research proposes a mathematical methodology to scale the reinforcement-concrete bond-slip relationship in a beam lattice modeling framework. A simplified, generalized approach based on stochastic analysis is proposed to model the interaction between the reinforcing bar and surrounding concrete at the macroscale. The approach considers the randomness of the lattice mesh and the mesh size and adopts an analytical model for the interface assuming the pull-out failure of reinforcement as input, thereby including also the mesoscale geometric effect of ribs. By using the geometric configuration of Delaunay triangulation in the random lattice mesh, the interface elements can reproduce the basic conical stress transfer mechanism in concrete. Consequently, depending on boundary conditions, and without changing the interface properties, a splitting failure and bond-slip relation for splitting failure can be predicted. The model is systematically validated in different types of pull-out tests, through flexural and finally shear tests. With limited input (properties of the concrete and analytical equation for pull-out failure), having a (strong) physical background, the model was shown to capture the fundamental fracture mechanisms in RC under different loading and confinement conditions.

中文翻译：

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结构混凝土离散建模中的钢筋-混凝土结合

混凝土与钢筋之间的粘结力是影响钢筋混凝土 (RC) 结构性能的关键参数之一。本研究提出了一种数学方法来衡量梁格建模框架中的钢筋-混凝土粘结-滑移关系。提出了一种基于随机分析的简化、通用的方法来模拟钢筋与周围混凝土在宏观尺度上的相互作用。该方法考虑了格子网格和网格尺寸的随机性，并采用假设钢筋拔出破坏作为输入的界面分析模型，从而也包括了肋的中尺度几何效应。通过在随机格子网格中使用 Delaunay 三角剖分的几何配置，界面元素可以在混凝土中重现基本的锥形应力传递机制。因此，根据边界条件，在不改变界面特性的情况下，可以预测分裂失败和分裂失败的粘结滑移关系。该模型在不同类型的拉拔试验中通过弯曲试验和最终的剪切试验进行了系统验证。在输入有限（混凝土的特性和拔出失效的分析方程）、具有（强）物理背景的情况下，该模型被证明可以捕捉 RC 在不同加载和约束条件下的基本断裂机制。该模型在不同类型的拉拔试验中通过弯曲试验和最终的剪切试验进行了系统验证。在输入有限（混凝土的特性和拔出失效的分析方程）、具有（强）物理背景的情况下，该模型被证明可以捕捉 RC 在不同加载和约束条件下的基本断裂机制。该模型在不同类型的拉拔试验中通过弯曲试验和最终的剪切试验进行了系统验证。在输入有限（混凝土的特性和拔出失效的分析方程）、具有（强）物理背景的情况下，该模型被证明可以捕捉 RC 在不同加载和约束条件下的基本断裂机制。