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A Proposed Model for Estimating Displacement-Dependent Shear Stress in Soils Under Direct Shear Condition

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Abstract

The displacement-dependent behavior of shear stress in soil is essential when modeling the soil behaviors with relative displacement in soils. However, a displacement-dependent shear stress model is not available in the literature. A hyperbolic model was proposed in this study to express the progressive development of shear stress with the relative displacement. Mindlin’s (J Appl Mech 16:259–268, 1949) contact theory was used to derive the initial slope of the shear stress-relative displacement curve and the shear strength of the soil combining with the failure ratio was used to determine the asymptotic shear stress. Test results from literatures for different type of soils (i.e., sand, gravel, and clay) under different test conditions (i.e., drained and undrained) were employed to verify the effectiveness of the proposed model. The comparison of the measured results with the calculated ones using the proposed model demonstrates that the displacement-dependent behavior of shear stress in soil can be perfectly reflected using the proposed model.

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Fig. 1

modified from Clough and Duncan (1971))

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  1. Department of Mechanical, Environmental, and Civil Engineering, Tarleton State University, 1333W. Washington Street, Stephenville, TX, 76402, USA

    Fei Wang

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  1. Fei Wang
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Correspondence to Fei Wang.

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Wang, F. A Proposed Model for Estimating Displacement-Dependent Shear Stress in Soils Under Direct Shear Condition. Geotech Geol Eng 40, 5205–5211 (2022). https://doi.org/10.1007/s10706-022-02211-9

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