横观各向同性非饱和黄土弹塑性本构模型研究

    Study on the elastoplastic constitutive model of transversely isotropic unsaturated loess

    • 摘要: 黄土地基具有横观各向同性的特点,多处于非饱和状态,且弹塑性变形突出,但同时考虑黄土的横观各向同性、非饱和特性和弹塑性变形这三个特性的本构模型尚未见报道。为此,通过系统的室内试验和理论分析,对横观各向同性非饱和黄土的弹塑性本构模型和力学特性进行了深入系统的研究。首先,建立了横观各向同性非饱和黄土弹塑性本构模型,弹性部分采用横观各向同性非饱和土的非线性本构模型描述,塑性部分采用基于广义莫尔-库仑准则的屈服函数和势函数、非关联流动法则和应变硬化准则描述;其次,设计不同应力路径的非饱和土三轴试验,分别确定模型中弹性及塑性参数;最后,通过不同中主应力及净围压条件下的非饱和真三轴试验对模型进行初步验证,发现试验结果与模型预测结果吻合较好。研究成果可准确揭示复杂应力路径下横观各向同性非饱和黄土的强度和变形特性,为天然成层地基和大面积填土地基的变形和稳定性分析及工程设计提供理论支持和科学依据,丰富和发展土力学的本构模型。

       

      Abstract: Loess foundations exhibit transversely isotropic characteristics, are often in an unsaturated state, and demonstrate significant elastoplastic deformation. However, a constitutive model that simultaneously considers these three features—transverse isotropy, unsaturated characteristics, and elastoplastic deformation—has not yet been reported. To address this, systematic indoor experiments and theoretical analyses were conducted to deeply and comprehensively investigate the elastoplastic constitutive model and mechanical properties of transversely isotropic unsaturated loess. First, an elastoplastic constitutive model for transversely isotropic unsaturated loess was established. The elastic component was described using a nonlinear constitutive model for transversely isotropic unsaturated soil, while the plastic component was characterized by a yield function and potential function based on the generalized Mohr-Coulomb criterion, a non-associated flow rule, and a strain hardening criterion. Second, unsaturated triaxial tests under different stress paths were designed to determine the elastic and plastic parameters of the model. Finally, the model was preliminarily validated through unsaturated true triaxial tests under varying intermediate principal stresses and net confining pressures. The experimental results showed good agreement with the model predictions. The findings of this study can accurately reveal the strength and deformation characteristics of transversely isotropic unsaturated loess under complex stress paths, providing theoretical support and a scientific basis for deformation and stability analysis as well as engineering design of natural stratified foundations and large-scale filled ground. Additionally, this research enriches and advances the constitutive models in soil mechanics.

       

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