Abstract
Clay creeping characteristics are an important issue of concern in geotechnical engineering. In order to explore the creeping mechanism of clay, creep tests were conducted on the clay in Chengdu. The results showed that the elastic modulus and the viscosity coefficient of clay were nonlinearly related to stress and time. In order to further explore the creeping mechanism of clay, fractional-order elastic and viscous elements were established based on rheology and fractional-order calculus, and a clay creeping constitutive model based on fractional-order elastic and viscous elements was established, which had clear physical meaning and simple form. Comparative analysis against creep test results verified that the proposed model performed well in describing the nonlinear elastic and viscous effects and precise process of clay creeping. Further discussion of parameters α1 and α2 showed that the conventional Burgers creep model and Maxwell creep model were special cases of the proposed model and that the proposed model described the accelerated creeping phase with higher accuracy. Therefore, the proposed clay creeping model based on fractional-order elastic and viscous effects was reasonable, which provided insights for the in-depth study of clay creeping mechanics and a scientific basis for the creep deformation or damage of geotechnical engineering structures such as foundation pits, slopes, and subgrades.
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The authors gratefully acknowledge the helpful comments of the reviewers.
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This study was financially supported by Sichuan Huaxi Group Co., Ltd. (No. HXKX2018/030, No. HXKX2019/015, No. HXKX2019/019), and the Sichuan Science and Technology Innovation Project (No. SCJSKJ2021-42).
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Responsible Editor: Zeynal Abiddin Erguler
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Wang, P., Ren, P. & Zhang, H. A nonlinear creep model for clay based on fractional-order elastic and viscous effect elements. Arab J Geosci 15, 562 (2022). https://doi.org/10.1007/s12517-022-09880-z
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DOI: https://doi.org/10.1007/s12517-022-09880-z