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Structural modelling of textile-reinforced concrete elements under uniaxial tensile loading

机译：单轴拉伸载荷下织物增强混凝土构件的结构建模

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摘要

The paper presents a non-linear structural model for evaluating the macro-structural response as well as the distribution of the internal stress resultants of textile reinforced concrete composites under uniaxial static loading. The equilibrium equations and the appropriate boundary conditions are derived on the basis of the variational principle of the minimum potential energy approach. Various aspects related to the unique microstructural behavior associated to the bonding mechanism of the yarns and the concrete matrix, as well as the nonlinearity of both materials, are taken into consideration and implemented in the variational principle. The obtained set of nonlinear equilibrium equations is formulated according to the mixed formulation which yields a set of first order nonlinear ordinary differential equations. The solution procedure is conducted by the mixedhalf-station interlacing-grid finite-difference scheme and by Newton-Raphson method. Results provided by the proposed model are compared to experimental tests from the literature and demonstrate its generality, accuracy, simplicity, and its easy implementation in various experimental setups. It is further demonstrated that the presented structural model can successfully capture the macro-structural response and gives an insight into the micro-structural mechanism involved in the load carrying capacity of the TRC composite element.
机译：本文提出了一种非线性结构模型，用于评估纤维增强混凝土复合材料在单轴静载荷下的宏观结构响应以及内应力合力的分布。根据最小势能法的变分原理推导了平衡方程和适当的边界条件。考虑了与变体原理相关的各个方面，这些方面涉及与纱线和混凝土基体的粘合机制相关的独特的微观结构行为，以及两种材料的非线性。根据混合公式来公式化所获得的一组非线性平衡方程组，从而产生一组一阶非线性常微分方程组。解决方法是通过混合半站隔行网格有限差分方案和牛顿-拉夫森方法进行的。所提出的模型提供的结果与文献中的实验测试进行了比较，并证明了其通用性，准确性，简单性以及在各种实验设置中的易于实现。进一步证明，所提出的结构模型可以成功捕获宏观结构响应，并深入了解涉及TRC复合元件的承载能力的微观结构机制。

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