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Open Access

Anisotropic Super-Subloading Surface Constitutive Model Considering Small Strain Stiffness of Soil

Zhichao Wang1,2( )Yanghao Lin2Yinghui Tian3Chunhui Zhang4Guangcai Luo5
Hunan Key Laboratory of Geomechanics and Engineering Safety, Xiangtan University, Xiangtan, Hunan 411105, P. R. China
College of Civil Engineering, Xiangtan University, Xiangtan, Hunan 411105, P. R. China
Department of Infrastructure Engineering, University of Melbourne, Victoria, 3010 Australia
School of Civil Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China
China Construction Fifth Engineering Bureau Co., Ltd., Changsha 410000, P. R. China
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Abstract

To overcome the limitations of the conventional super-subloading surface constitutive model in capturing soil stress-induced anisotropy and the nonlinear degradation of shear modulus at small strains, this study presents an enhanced model. By incorporating the g(θ) method and integrating classical small-strain stiffness theory, the proposed model offers improved representation of both anisotropic behavior and the nonlinear shear modulus reduction under small-strain conditions. The new model was subsequently applied to predict triaxial shear test results for Shanghai soft clay, Fukakusa clay, and Hefei slightly expansive clay, as well as to simulate the deep excavation of the Huifu Road Station in Hefei Metro. The results demonstrate that the proposed model effectively captures the high initial shear modulus and its nonlinear attenuation under small-strain conditions, unifies the application of four yield criteria (von Mises, Mohr-Coulomb, Matsuoka-Nakai, and Lade-Duncan) to characterize stress-induced anisotropy, and successfully describes both the structural shear-shrinkage softening of soft clay and the shear-dilation softening of overconsolidated soil. The improved model not only effectively characterizes complex mechanical behaviors of natural soil but also accurately predicts deformation patterns of retaining piles during excavation processes.

CLC number: TU443 Document code: A Article ID: 1673-0836(2026)03-0780-08

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Chinese Journal of Underground Space and Engineering
Pages 780-787

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Cite this article:
Wang Z, Lin Y, Tian Y, et al. Anisotropic Super-Subloading Surface Constitutive Model Considering Small Strain Stiffness of Soil. Chinese Journal of Underground Space and Engineering, 2026, 22(3): 780-787. https://doi.org/10.20174/j.JUSE.2026.03.04

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Received: 20 July 2025
Published: 01 June 2026
© 2026 Chinese Journal of Underground Space and Engineering

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).