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An elastic–viscoplastic constitutive model incorporating shear dilation characteristic

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Abstract

A three-dimensional elastic–viscoplastic (3D EVP) model focusing on shear hardening is proposed to describe the time-dependent behaviors of sand. In developing this model, a one-dimensional elastic–viscoplastic (1D EVP) equation of deviatoric stress–strain–strain rate is first derived based on the analysis of stress relaxation tests on four different sands and the equivalent time method suggested by Yin and Graham. Subsequently, the 1D EVP equation is generalized into triaxial state by referring Lade-Duncan’s elastic–plastic theory and Perzyna’s overstress theory. The proposed 3D EVP model incorporates shear yield criterion, non-associated flow rule, and strain-hardening law, which makes it possible for the model to describe the rate effects and shear dilation characteristic. Finally, numerical solutions are obtained using the fourth-order Runge-Kutta method, and the model is calibrated and verified through several experiments. It is demonstrated that the new model is capable of predicting rheological behaviors of dilatant sand, especially the shear-induced volumetric responses.

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Funding

The authors would like to acknowledge financial support from the National Natural Science Foundation of China (Grant No. 41672264, 51178419), the Key Research and Development Program of Zhejiang Province (Grant No. 2019C03103), and the University of Macau Research Fund (Grant No. MYRG2018-00173-FST).

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Authors and Affiliations

  1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, 310058, China

    Pan Ding, Yayuan Hu & Riqing Xu

  2. State Key Laboratory of Internet of Things for Smart City and Department of Civil and Environmental Engineering, University of Macau, Macau SAR, 999078, China

    Wanhuan Zhou

  3. Zhejiang Province Institute of Architectural Design and Research, Hangzhou, 310006, China

    Xingwang Liu

  4. Engineering Research Center of Urban Underground Space Development of Zhejiang Province, Hangzhou, 310058, China

    Riqing Xu

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  1. Pan Ding
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  2. Yayuan Hu
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  3. Wanhuan Zhou
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  4. Xingwang Liu
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  5. Riqing Xu
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Corresponding author

Correspondence to Yayuan Hu.

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The authors declare that they have no conflicts of interest.

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Responsible Editor: Zeynal Abiddin Erguler

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Ding, P., Hu, Y., Zhou, W. et al. An elastic–viscoplastic constitutive model incorporating shear dilation characteristic. Arab J Geosci 13, 1001 (2020). https://doi.org/10.1007/s12517-020-05996-2

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  • DOI: https://doi.org/10.1007/s12517-020-05996-2

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