Abstract
Unsaturated expansive soil is widely distributed in China and has complex engineering properties. This paper proposes the unified hydraulic effect shear strength theory of unsaturated expansive soil based on the effective stress principle, swelling force principle, and soil–water characteristics. Considering the viscoelasticity and structural damage of unsaturated expansive soil during loading, a fractional hardening–damage model of unsaturated expansive soil was established. The model parameters were established on the basis of the proposed calculation method of shear strength and the triaxial shear experiment on unsaturated expansive soil. The proposed model was verified by the experimental data and a traditional damage model. The proposed model can satisfactorily describe the entire process of the strain-hardening law of unsaturated expansive soil. Finally, by investigating the damage variables of the proposed model, it was found that: (a) when the values of confining pressure and matric suction are close, the coupling of confining pressure and matric suction contributes more to the shear strength; (b) there is a damage threshold for unsaturated expansive soil, and is mainly reflected by strength criterion of infinitesimal body; (c) the strain hardening law of unsaturated expansive soil is mainly reflected by fractional derivative operator.
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Data Availability
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. All data shown in the figures and tables can be provided on request.
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Acknowledgments
This research was financially supported by Sichuan Huaxi Group Co., ltd. (No. HXKX2019/015, No. HXKX2019/019, No. HXKX2018/030), the Open Fund of Sichuan Provincial Engineering Research Center of City Solid Waste Energy and Building Materials Conversion and Utilization Technology (No. GF2022ZC009), and the Open Fund of Sichuan Engineering Research Center for Mechanical Properties and Engineering Technology of Unsaturated Soils (No. SC-FBHT2022-04).
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ZHANG Hua: Conceptualization, Investigation, Visualization, Formal analysis, Writing-review & editing, Resources, Funding acquisition
WANG Peng: Data curation, Methodology, Formal analysis, Writing-original draft, Resources, Supervision, Funding acquisition
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Zhang, H., Wang, P. Fractional derivative statistical damage model of unsaturated expansive soil based on unified hydraulic effect. J. Mt. Sci. 20, 2769–2782 (2023). https://doi.org/10.1007/s11629-023-8038-1
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DOI: https://doi.org/10.1007/s11629-023-8038-1