Implementation and Application of a State-Dependent Sand Model in Finite Element Analysis

State-dependent sand constitutive models based on the critical state soil mechanics framework are capable of realistically describing the strength, stiffness, and volumetric deformation behavior of sands with varying relative densities under different confining pressures using a unified set of param...

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Vydané v:Geotechnical and geological engineering Ročník 43; číslo 8; s. 426
Hlavní autori: Yang, Chun-jie, Cai, Zheng-yin, Zhu, Xun, Fan, Kai-fang, Li, Guang, Liu, Chao-yin
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Predmet:
Accuracy
Algorithms
Anisotropy
Bearing capacity
Civil Engineering
Clay
Constitutive models
Deformation
Dilatancy
Earth and Environmental Science
Earth Sciences
Finite element method
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Mathematical models
Numerical analysis
Original Paper
Phase transitions
Sand
Shear stress
Software
Soil mechanics
Subroutines
Terrestrial Pollution
Triaxial tests
Waste Management/Waste Technology
State-dependent model
Semi-implicit integration algorithm
Yield criterion
Foundation bearing capacity
ISSN:0960-3182, 1573-1529
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Shrnutí:State-dependent sand constitutive models based on the critical state soil mechanics framework are capable of realistically describing the strength, stiffness, and volumetric deformation behavior of sands with varying relative densities under different confining pressures using a unified set of parameters. Considering the complex stress states in practical problems, this study extends the state-dependent model from the simple p-q space to three-dimensional stress space by employing the SMP (Spatially Mobilized Plane) criterion. The sand model was implemented through the user-defined subroutine VUMAT in ABAQUS, using a semi-implicit stress integration algorithm to enable its application in numerical analysis. The subroutine was validated by simulating triaxial tests on sands with different relative densities. Subsequently, the bearing capacity of a strip foundation was analyzed, and the effects of yield surface formulation and dilatancy on the results were investigated. The results demonstrate that the semi-implicit stress integration algorithm ensures both convergence and error control. Assuming a standard Drucker–Prager (DP) yield surface by neglecting stress-induced anisotropy can lead to an overestimation of bearing capacity. Dilatancy exerts a significant influence on the analysis outcomes, and its accurate representation is essential for bearing capacity assessment. The findings provide valuable references for the implementation of advanced constitutive models and the analysis of foundation bearing capacity.
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ISSN:0960-3182
1573-1529
DOI:10.1007/s10706-025-03383-w