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Analysis of Parameters in Granular Solid Hydrodynamics for Triaxial Compression Tests

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Abstract

Granular materials are omnipresent in industries and in nature. For small strains, elastic-plastic and hypoplastic constitutive relations are widely used in engineering practice, but they are not a significant reflection of the underlying physics. Under a unified thermodynamics framework explaining the physics of materials, granular solid hydrodynamics (GSH) was an extension towards describing granular materials, not only solid-like, but also fluid-like behaviors. In this paper, the fundamentals of GSH are briefly treated and then simplified to analyze quasi-static deformations in triaxial compressions. The calculated stress-strain relations and volumetric strain are compared with experimental results. The influences of the major parameters in GSH, especially their cross coupling influences, are analyzed and their physical meanings are further clarified. After parameters were calibrated, the calculated stress values in the characteristic stress state are found to be within 22% of tested values. Meanwhile, the energy dissipation during triaxial compression is analyzed. The above results support and partially quantify GSH.

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Authors and Affiliations

  1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, 100084, Beijing, China

    Shixiong Song, Qicheng Sun, Feng Jin & Chuhan Zhang

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  1. Shixiong Song
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  2. Qicheng Sun
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  3. Feng Jin
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  4. Chuhan Zhang
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Corresponding author

Correspondence to Qicheng Sun.

Additional information

The authors acknowledge the support of the National Key Basic Research Program of China (No. 2010CB731504), the National Natural Science Foundation of China (No. 51239006) and the research funding from the State Key Laboratory of Hydroscience and Engineering, Tsinghua University (No. 2013-KY-2).

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Song, S., Sun, Q., Jin, F. et al. Analysis of Parameters in Granular Solid Hydrodynamics for Triaxial Compression Tests. Acta Mech. Solida Sin. 27, 15–27 (2014). https://doi.org/10.1016/S0894-9166(14)60013-6

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  • DOI: https://doi.org/10.1016/S0894-9166(14)60013-6

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