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首页> 外文期刊>Materials and structures >Probabilistic analysis of concrete cracking using stochastic finite element methods: application to nuclear containment buildings at early age
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Probabilistic analysis of concrete cracking using stochastic finite element methods: application to nuclear containment buildings at early age

机译：随机有限元方法的混凝土裂缝概率分析：临时核遏制建筑的应用

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摘要

In the case of quasi-homogeneously applied tensile loads, the intrinsic scattering of concrete properties leads to spatially random strain localization, crack initiation and propagation. The modelling of such spatial randomness, in the case of Equivalent-Homogeneous-Material Finite Elements based approaches, can be achieved thanks to the use of Random Fields. However, when aiming at probabilistic analyses, numerous realizations are required which induces a hefty computational time and restricts their applicability to the modelling of large concrete structures. In this contribution, an original probabilistic coupling strategy is provided based on non-intrusive Stochastic Finite Elements Methods. It consists of defining an explicit Surface Response of the cracking patterns expressed in terms of the most influential inputs using an Adaptive Surface Response Method combined to a Polynomial Chaos Expansion Method. Direct Monte Carlo Method is then applied-to the explicit Surface Response of the cracking patterns-to achieve Global Sensitivity Analysis, Uncertainties Quantification and probabilistic modelling at a reasonable cost. The defined strategy is validated based on a Representative Structural Volume of a 1:3 scaled experimental Containment Building at early age using a weakly coupled thermo-mechanical model. As a result, the study quantifies the effect of the most influential parameters (the Young's modulus-the tensile strength-the coefficients of thermal expansion and autogenous shrinkages) on concrete cracking at early age and provides accurate numerical prediction of the cracking patterns (cracks' number, opening and spacing values) observed on site and their frequencies.
机译：在准均匀地施加拉伸载荷的情况下，混凝土性能的固有散射导致空间随机应变局部化，裂纹启动和传播。由于使用随机场，可以实现这种空间随机性的建模，在基于同一均质的有限元的方法的情况下，可以实现。然而，在瞄准概率分析时，需要众多的实现，这诱导了足够的计算时间并限制了它们对大型混凝土结构的建模的适用性。在这一贡献中，基于非侵入式随机有限元方法提供了原始概率耦合策略。它包括使用使用自适应表面响应法组合到多项式混沌扩展方法的最具影响力的输入来定义表达的裂缝图案的显式表面响应。然后将直接蒙特卡罗方法应用于开裂模式的显式表面响应 - 以合理的成本实现全局敏感性分析，不确定性量化和概率模型。使用弱耦合的热机械模型，基于在早期的1：3缩放的实验壳体建筑的代表性结构体积验证了定义的策略。结果，该研究量化了最有影响力的参数（杨氏模量 - 抗拉强度 - 系数 - 热膨胀和自生收缩系数）在休假时的混凝土裂缝上，并提供了裂缝模式的准确数值预测（裂缝'在现场和频率上观察到的数量，打开和间距值）。

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