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Fractional-order creep model for soft clay under true triaxial stress conditions

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Abstract

To investigate the creep characteristics of soft clay under true triaxial stress conditions, multistage loading creep tests using TSW-40 true triaxial apparatus were performed. The creep deformation characteristics, creep rate, and long-term strength of soft clay under a true triaxial stress path were studied. The results showed that the creep deformation and creep rate of soft clay increase with increasing major principal stress; the axial deformation is larger than the lateral deformation. The long-term strength and the equation for predicting the starting point of accelerated creep were obtained using the generalized shear stress. A four-element fractional-order creep (FFC) model based on the fractional Burgers creep model was established for soft clay and then extended to three dimensions. The model calculation results based on the parameters obtained using MATLAB’s Curve Fitting Toolbox were in good agreement with the experimental results. The comparison results showed that the 3D FFC model was more accurate at describing the entire creep curve of soft clay than the fractional Burgers model and the Burgers model, particularly regarding the accelerated creep characteristics. In conclusion, the results presented herein are expected to provide the scientific basis for determining soft clay creep instability under true triaxial stress conditions.

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Acknowledgments

The authors gratefully acknowledge the helpful comments of the reviewers and also thank Editage (www.editage.cn) for English language editing.

Funding

This research was supported by the State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology (grant no. SKLGDUEK1914), the State Key Program of National Natural Science of China (grant no. 51734009), the National Natural Science Foundation of China (grant no. 51774166), and the Liaoning Natural Science Foundation Guidance Project (grant no. 20180551162).

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Correspondence to Liu Jiashun.

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Responsible Editor: Zeynal Abiddin Erguler

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Jiashun, L., Hongwen, J., Bo, M. et al. Fractional-order creep model for soft clay under true triaxial stress conditions. Arab J Geosci 13, 834 (2020). https://doi.org/10.1007/s12517-020-05842-5

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  • DOI: https://doi.org/10.1007/s12517-020-05842-5

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