A Binary Medium Constitutive Model for Frozen Solidified Saline Soil in Cold Regions and Its Fractal Characteristics Analysis

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-01-02 DOI:10.3390/fractalfract8010033
Xinrui Kang, Hongbo Li, Gang Zhang, Sheng Li, Long Shan, Jing Zhao, Zhe Zhang
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Abstract

In addressing the issue of strength degradation in saline soil foundations under the salt-freeze coupling effects, a binary medium constitutive model suitable for un-solidified and solidified frozen saline soil is proposed considering both bonding and friction effects. To verify the validity of the constitutive model, freezing triaxial tests are carried out under different negative temperatures, confining pressures, and water contents. The pore structure and fractal characteristics of saline soil are analyzed using mercury intrusion porosimetry (MIP) and the fractal dimension D qualitatively and quantitatively, which shed light on the strength enhancement mechanism during the solidification of frozen saline soils. The results show that the constitutive model for frozen solidified saline soil based on binary medium theory aptly captures the stress–strain relationship before and after the solidification of frozen saline soil. The stress–strain relationship of frozen saline soil before and after solidification can be delineated into linear elasticity, elastoplasticity, and strain-hardening or -softening phases. Each of these phases can be coherently interpreted through the binary medium constitutive model. The un-solidified and solidified frozen both show pronounced fractal characteristics in fractal analysis. Notably, the fractal dimension D of the solidified saline soil exhibits a significant increase compared to that of un-solidified ones. In Regions I and III, the values of D for solidified saline soil are lower than those for untreated saline soil, which is attributed to the filling effect of hydration products and un-hydrated solidifying agent particles. In Region II, the fractal dimensions DMII and DNII of the solidified saline soil exhibit a “non-physical state”, which is mainly caused by the formation of a significant number of inkpot-type pores due to the binding of soil particles by hydration products.
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寒冷地区冻融盐土的二元介质构效模型及其分形特征分析
针对盐土地基在盐冻耦合效应下强度下降的问题,提出了一种考虑粘结和摩擦效应的二元介质构成模型,适用于未固结和固结的盐土冻土。为了验证该构成模型的有效性,在不同负温度、约束压力和含水量下进行了冻结三轴试验。利用汞侵入孔隙模拟法(MIP)和分形维数 D 对盐土的孔隙结构和分形特征进行了定性和定量分析,揭示了盐土冻结凝固过程中的强度增强机制。结果表明,基于二元介质理论的冻融盐土构成模型恰当地捕捉了冻融盐土凝固前后的应力应变关系。冻融盐土凝固前后的应力应变关系可划分为线性弹性、弹塑性、应变硬化或软化阶段。每个阶段都可以通过二元介质构成模型进行连贯解释。在分形分析中,未凝固和凝固冻结都显示出明显的分形特征。值得注意的是,固化盐土的分形维数 D 与未固化盐土相比有显著增加。在 I 区和 III 区,固化盐渍土的 D 值低于未固化盐渍土,这是由于水化产物和未水化固化剂颗粒的填充作用。在区域 II 中,固化盐渍土的分形尺寸 DMII 和 DNII 呈现出 "非物理状态",这主要是由于土壤颗粒被水化产物结合而形成了大量墨斗型孔隙。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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