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用于桥梁工程应用的混凝土徐变建模的新型分数阶方法。

Novel Fractional Approach to Concrete Creep Modeling for Bridge Engineering Applications.

作者信息

Nowak Krzysztof, Zbiciak Artur, Woyciechowski Piotr, Cichocki Damian, Oleszek Radosław

机构信息

Faculty of Civil Engineering, Warsaw University of Technology, Al. Armii Ludowej 16, 00-637 Warsaw, Poland.

出版信息

Materials (Basel). 2025 Aug 7;18(15):3720. doi: 10.3390/ma18153720.

DOI:10.3390/ma18153720
PMID:40805598
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12348294/
Abstract

The article presents research on concrete creep in bridge structures, focusing on the influence of concrete mix composition and the use of advanced rheological models with fractional-order derivatives. Laboratory tests were performed on nine mixes varying in blast furnace slag content (0%, 25%, and 75% of cement mass) and air-entrainment. The results were used to calibrate fractal rheological models-Kelvin-Voigt and Huet-Sayegh-where the viscous element was replaced with a fractal element. These models showed high agreement with experimental data and improved the accuracy of creep prediction. Comparison with Eurocode 2 revealed discrepancies up to 64%, especially for slag-free concretes used in prestressed bridge structures. The findings highlight the important role of mineral additives in reducing creep strains and the need to consider individual mix characteristics in design calculations. In the context of modern bridge construction technologies, such as balanced cantilever or incremental launching, reliable modeling of early-age creep is particularly important. The proposed modeling approach may enhance the precision of long-term structural behavior analyses and contribute to improved safety and durability of concrete infrastructure.

摘要

本文介绍了桥梁结构中混凝土徐变的研究,重点关注混凝土配合比组成的影响以及使用带有分数阶导数的先进流变模型。对九种配合比进行了实验室试验,这些配合比在高炉矿渣含量(水泥质量的0%、25%和75%)和引气方面有所不同。试验结果用于校准分形流变模型——开尔文-沃伊特模型和休埃-萨耶格模型,其中粘性元件被分形元件取代。这些模型与实验数据高度吻合,提高了徐变预测的准确性。与欧洲规范2的比较显示差异高达64%,特别是对于用于预应力桥梁结构的无矿渣混凝土。研究结果突出了矿物添加剂在减少徐变应变方面的重要作用,以及在设计计算中考虑各配合比特性的必要性。在现代桥梁施工技术(如平衡悬臂或增量顶推)的背景下,可靠地模拟早期徐变尤为重要。所提出的建模方法可能会提高长期结构行为分析的精度,并有助于提高混凝土基础设施的安全性和耐久性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/f8f9c4fb9cc0/materials-18-03720-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/1ffb46e301f6/materials-18-03720-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/250cc03a36ec/materials-18-03720-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/b6f57af7c874/materials-18-03720-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/528c1d4d3951/materials-18-03720-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/1e83712d7201/materials-18-03720-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/d169e3110623/materials-18-03720-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/ac20284f0d44/materials-18-03720-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/f8f9c4fb9cc0/materials-18-03720-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/1ffb46e301f6/materials-18-03720-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/250cc03a36ec/materials-18-03720-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/b6f57af7c874/materials-18-03720-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/528c1d4d3951/materials-18-03720-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/1e83712d7201/materials-18-03720-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/d169e3110623/materials-18-03720-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/ac20284f0d44/materials-18-03720-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f9e/12348294/f8f9c4fb9cc0/materials-18-03720-g008.jpg

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本文引用的文献

1
Nonlinear Creep Damage Constitutive Model of Concrete Based on Fractional Calculus Theory.基于分数阶微积分理论的混凝土非线性徐变损伤本构模型
Materials (Basel). 2019 May 8;12(9):1505. doi: 10.3390/ma12091505.
2
Fractional calculus in bioengineering.生物工程中的分数阶微积分
Crit Rev Biomed Eng. 2004;32(1):1-104. doi: 10.1615/critrevbiomedeng.v32.i1.10.