A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials

Tian, Dongshuai; Zheng, Hong

doi:10.3390/app13095746

Cited by 2 publications

(1 citation statement)

References 57 publications

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“…The effect of the intermediate principal stress is usually considered by introducing a shape function, i.e., g(θ), into the 2D yield function. The critical state stress ratio becomes a function of the Lode's angle (Tian and Zheng [34]; Du et al [35]; Xue et al [36]). By using different equations to modify the model parameters, this kind of method can provide an accurate prediction for the experimental results.…”

Section: Brief Summarymentioning

confidence: 99%

A Multiscale Method to Develop Three-Dimensional Anisotropic Constitutive Model for Soils

Tian,

Chen,

Yao

et al. 2024

Buildings

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A multiscale method is presented to develop a constitutive model for anisotropic soils in a three-dimensional (3D) stress state. A fabric tensor and its evolution, which quantify the particle arrangement at the microscale, are adopted to describe the effects of the inherent and induced anisotropy on the mechanical behaviors at the macroscale. Using two steps of stress mapping, the deformation and failure of anisotropic soil under the 3D stress state are equivalent to those of isotropic soil under the triaxial compression stress state. A series of discrete element method (DEM) simulations are conducted to preliminarily verify this equivalence. Based on the above method, the obtained anisotropic yield surface is continuous and smooth. Then, a fabric evolution law is established according to the DEM simulation results. Compared with the rotational hardening law, the fabric evolution law can also make the yield surface rotate during the loading process, and it can grasp the microscopic mechanism of soil deformation. As an example, an anisotropic modified Cam-clay model is developed, and its performance validates the ability of the proposed method to account for the effect of soil anisotropy.

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Section: Brief Summarymentioning

confidence: 99%

A Multiscale Method to Develop Three-Dimensional Anisotropic Constitutive Model for Soils

Tian,

Chen,

Yao

et al. 2024

Buildings

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Application of Dimension Extending Technique to Unified Hardening Model

Chen,

Zheng,

Tian

2024

Applied Sciences

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This paper provides the process of incremental constitutive integration for the unified hardening model combined with the transformation stress method. The dimension-extending technique takes the hardening function of the hardening/softening model as the same position as the stress components, so that the constitutive integration of the plasticity can be reduced to an initial value problem of differential–complementarity equations, which is solved using the Gauss–Seidel algorithm-based Projection–Correction for the mixed complementarity problem. The Gauss–Seidel based Projection–Correction algorithm does not require the calculation of the Jacobean matrix of the potential function, making it relatively easy to implement in programming. The unified hardening model is proposed based on the modified Cam–Clay model and the sub-loading surface model, and the elastic properties are pressure-dependent. Two processing methods, backward Euler integration and exact elastic property, are used for the variable elasticity properties. The constitutive integration of the increased dimensional unified hardening model is reduced to a special mixed complementarity problem and solved by the proposed algorithm, which does not need to calculate the Jacobean matrix of the potential function, and greatly simplifies the derivation process. Several numerical examples are given to verify the feasibility of the incremental constitutive integration in the unified hardening model, including the single integral point and the boundary value problems. The research results have expanded the scope of use of the Gauss–Seidel based Projection–Correction algorithm.

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A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials

Cited by 2 publications

References 57 publications

A Multiscale Method to Develop Three-Dimensional Anisotropic Constitutive Model for Soils

A Multiscale Method to Develop Three-Dimensional Anisotropic Constitutive Model for Soils

Application of Dimension Extending Technique to Unified Hardening Model

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