Simplified modeling of cracking in concrete: Application in tunnel linings
Simplified modeling of cracking in concrete: Application in tunnel linings
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DOI：
10.1016/j.engstruct.2014.03.031
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发表时间：
2014-07
影响因子：
5.5
通讯作者：
D. Amorim;S. Proença;J. Flórez-López
中科院分区：
文献类型：
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作者：
D. Amorim;S. Proença;J. Flórez-López
本文提出了一种分析管道、隧道和环的非弹性性能的公式。该框架以集总损伤力学为基础，强调混凝土开裂的数学描述；该方法也可以推广到其他脆性材料。集总损伤力学将塑性铰的概念与断裂和连续损伤力学的思想和方法相结合。由此产生的模型可以表征结构的损伤状态，甚至可以以简化的方式量化裂纹张开位移。实验和断裂力学结果验证了该方法的有效性。结构分析可以使用很少的元素（在大多数情况下少于十几个），而传统方法需要数万个元素。因此，即使模型可以在传统的有限元程序中实现，计算也可以用符号操纵器、通用数值分析程序（Maple、Matlab、Mathematica、Mathcad等）甚至电子表格应用程序来执行。这种简化方法可用于设计目的、有限元分析验证或结构可靠性评估，其中需要对同一结构进行数千次分析。
This paper presents a formulation for the analysis of the inelastic behavior of pipes, tunnels and rings. This new framework is based on lumped damage mechanics and emphasizes on the mathematical description of concrete cracking; the approach can be extended to other brittle materials as well. Lumped damage mechanics combines the concept of plastic hinge with the ideas and procedures of fracture and continuum damage mechanics. The resulting models allow for the characterization of the damage state of the structure, it is even possible to quantify the crack opening displacements in a simplified way. Experimental and fracture mechanics results were used to validate the proposed method. The structural analyses can be carried out using very few elements (less than a dozen in most cases) while the conventional approaches require tens of thousands of them. Thus, even if the models can be implemented in conventional finite element programs, the computations can also be carried out with symbolic manipulators, general numerical analysis programs (Maple, Matlab, Mathematica, Mathcad, and so on) or even spreadsheet applications. This simplified approach can be used for design purposes, validation of finite element analysis or structural reliability assessment where thousands of analyses of a same structure are needed.