利用改进的内聚区模型研究圆形混凝土填充钢管的间隙效应

Q1 Mathematics Applied Sciences Pub Date : 2024-09-17 DOI:10.3390/app14188361
Jiang Yu, Bin Gong, Chenrui Cao
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引用次数: 0

摘要

了解间隙分布特征对弯曲荷载下圆形混凝土填充钢管(CCFST)力学性能的影响,对于工程项目中的稳定性和支撑设计非常重要。本研究采用考虑摩擦力的改进内聚区模型来描述砂浆界面的力学行为。同时,对核心混凝土和钢管采用了混凝土损伤塑性模型和各向同性弹塑性模型。改进后的内聚区模型具有统一的势函数,可控制砂浆界面的模式 I 和模式 II 破坏过程,从而实现混凝土与钢之间的力学相互作用。在弹性阶段利用平滑的摩擦函数来计算精确的摩擦效应。此外,还验证了模型处理卸载和重载的能力,以及在循环加载过程中断裂能量的相应变化。然后,通过设置不同的间隙大小以及间隙与加载方向之间的角度,研究了 CCFST 在弯曲荷载下的机械响应。结果表明,在三点弯曲条件下,当冠状间隙轴线与加载方向的夹角分别为 0°和 180°时,CCFST 中间部分的等效塑性应变要大得多,峰值承载力也要小得多。此外,当冠状帽间隙高度从 0.0 mm 增加到 2.5 mm、5.0 mm 和 7.5 mm 时,峰值承载力从大到小的顺序也是如此。这种明显的影响使得在结构设计中不能忽视冠状缝隙对结构性能的削弱。
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Research on the Gap Effect of Circular Concrete-Filled Steel Tubes Using the Improved Cohesive Zone Model
Understanding the influence of gap distribution characteristics on the mechanical properties of circular concrete-filled steel tubes (CCFSTs) under bending load is important for stability and support design in engineering projects. In this study, the improved cohesive zone model considering friction was used to describe the mechanical behavior of mortar interfaces. Meanwhile, the concrete damage plastic model and isotropic elastoplastic model were applied for core concrete and steel tubes. The improved cohesive zone model has a unified potential function that governs the Mode I and Mode II failure processes of mortar interfaces to realize the mechanical interaction between concrete and steel. A smooth frictional function was utilized in the elastic stage to calculate the accurate frictional effect. Furthermore, the capability of the model in addressing unloading and reloading was verified, and the fracture energy varied accordingly during the cyclic loading. Then, the mechanical response of CCFSTs was investigated under bending loads by setting different gap sizes and angles between the gap and loading direction. The results show that under three-point bending, the equivalent plastic strains at the middle part of CCFSTs are much larger and the peak bearing forces are much lower than the other degrees when the angles between the coronal gap axis and loading direction equal 0° and 180°. In addition, the order of the peak bearing forces, from highest to lowest, is when the height of the coronal-cap gap increases from 0.0 mm to 2.5 mm, 5.0 mm, and 7.5 mm. The significant effect makes it inappropriate to ignore the weakening of the structural performance caused by coronal gaps in structural design.
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来源期刊
Applied Sciences
Applied Sciences Mathematics-Applied Mathematics
CiteScore
6.40
自引率
0.00%
发文量
0
审稿时长
11 weeks
期刊介绍: APPS is an international journal. APPS covers a wide spectrum of pure and applied mathematics in science and technology, promoting especially papers presented at Carpato-Balkan meetings. The Editorial Board of APPS takes a very active role in selecting and refereeing papers, ensuring the best quality of contemporary mathematics and its applications. APPS is abstracted in Zentralblatt für Mathematik. The APPS journal uses Double blind peer review.
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