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Thermo-mechanical behavior of sand–clay mixtures—Part II: constitutive modeling

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Abstract

In the current study, we proposed a novel fractional-order thermo-mechanical constitutive model within the framework of critical state theory to depict the coupling effect of fine content and temperature on shear behaviors of sand–clay mixtures. The direction of the non-orthogonal plastic strain increment was derived by taking the fractional derivative of the yield surface without introducing an additional plastic potential function, which provided a unified description of the associated and non-associated flow rule. In addition, the fines- and temperature-dependent critical state was also considered. Subsequently, the performance of the fractional-order thermo-mechanical model was analyzed through parametric investigation. Comparisons between the predicted and experimental results demonstrate that the proposed model can effectively reproduce the strain-softening, dilatancy, and thermal softening behaviors of sand–clay mixtures with different confining pressures, fine contents, and temperatures.

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Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

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Acknowledgements

The authors would like to acknowledge the financial support of the National Nature Science Foundation of China (Grant Nos. 52078085 and 51922024).

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Authors and Affiliations

  1. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Yang Xiao, Zengchun Sun, Ninghao Wang, Haotian Guo & Huanran Wu

  2. College of Water Resource and Architectural Engineering, Northwest A&F University, Yangling, 712100, Shaanxi, China

    Zengchun Sun & Minqiang Meng

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Xiao, Y., Sun, Z., Wang, N. et al. Thermo-mechanical behavior of sand–clay mixtures—Part II: constitutive modeling. Acta Geotech. (2023). https://doi.org/10.1007/s11440-023-02125-7

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