<p>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.</p>

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

  • Chun-jie Yang,
  • Zheng-yin Cai,
  • Xun Zhu,
  • Kai-fang Fan,
  • Guang Li,
  • Chao-yin Liu

摘要

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.