A Thermodynamic Constitutive Model for Saturated Sand

This paper establishes a non-equilibrium thermodynamic constitutive model that can predict the undrained shear behavior of saturated sand. Starting from the basic laws of thermodynamics, the model does not require the classical concepts in elasto-plastic models, such as the yield function, the flow...

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Main Authors: Shize Xiao, Xiaohui Cheng, Zhou Yang
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/2/136
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author Shize Xiao
Xiaohui Cheng
Zhou Yang
author_facet Shize Xiao
Xiaohui Cheng
Zhou Yang
author_sort Shize Xiao
collection DOAJ
description This paper establishes a non-equilibrium thermodynamic constitutive model that can predict the undrained shear behavior of saturated sand. Starting from the basic laws of thermodynamics, the model does not require the classical concepts in elasto-plastic models, such as the yield function, the flow rule, and the hardening rule. It is also different from the existing thermodynamic constitutive models in soil mechanics literatures. The model does not use a complex nonlinear elastic potential as usually and introduces a coupling energy dissipative mechanism between the viscosity and elasticity relaxation, which is essential in granular materials. Then this model was used to simulate the undrained shear test of Toyoura sand. The model can predict the critical state, dilatancy-contraction and hardening-softening characteristics of sand during undrained triaxial shearing.
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spelling doaj.art-4ace6484ae9745f795eba44a5e35940c2022-12-22T04:22:50ZengMDPI AGEntropy1099-43002019-02-0121213610.3390/e21020136e21020136A Thermodynamic Constitutive Model for Saturated SandShize Xiao0Xiaohui Cheng1Zhou Yang2Department of Civil Engineering, Tsinghua University, Beijing 100084, ChinaDepartment of Civil Engineering, Tsinghua University, Beijing 100084, ChinaDepartment of Civil Engineering, Tsinghua University, Beijing 100084, ChinaThis paper establishes a non-equilibrium thermodynamic constitutive model that can predict the undrained shear behavior of saturated sand. Starting from the basic laws of thermodynamics, the model does not require the classical concepts in elasto-plastic models, such as the yield function, the flow rule, and the hardening rule. It is also different from the existing thermodynamic constitutive models in soil mechanics literatures. The model does not use a complex nonlinear elastic potential as usually and introduces a coupling energy dissipative mechanism between the viscosity and elasticity relaxation, which is essential in granular materials. Then this model was used to simulate the undrained shear test of Toyoura sand. The model can predict the critical state, dilatancy-contraction and hardening-softening characteristics of sand during undrained triaxial shearing.https://www.mdpi.com/1099-4300/21/2/136non-equilibrium thermodynamicssandconstitutive modeltriaxial undrained tests
spellingShingle Shize Xiao
Xiaohui Cheng
Zhou Yang
A Thermodynamic Constitutive Model for Saturated Sand
Entropy
non-equilibrium thermodynamics
sand
constitutive model
triaxial undrained tests
title A Thermodynamic Constitutive Model for Saturated Sand
title_full A Thermodynamic Constitutive Model for Saturated Sand
title_fullStr A Thermodynamic Constitutive Model for Saturated Sand
title_full_unstemmed A Thermodynamic Constitutive Model for Saturated Sand
title_short A Thermodynamic Constitutive Model for Saturated Sand
title_sort thermodynamic constitutive model for saturated sand
topic non-equilibrium thermodynamics
sand
constitutive model
triaxial undrained tests
url https://www.mdpi.com/1099-4300/21/2/136
work_keys_str_mv AT shizexiao athermodynamicconstitutivemodelforsaturatedsand
AT xiaohuicheng athermodynamicconstitutivemodelforsaturatedsand
AT zhouyang athermodynamicconstitutivemodelforsaturatedsand
AT shizexiao thermodynamicconstitutivemodelforsaturatedsand
AT xiaohuicheng thermodynamicconstitutivemodelforsaturatedsand
AT zhouyang thermodynamicconstitutivemodelforsaturatedsand