横观各向同性非饱和黄土弹塑性本构模型研究

    Study on elastoplastic constitutive model of transversely isotropic unsaturated loess

    • 摘要: 成层黄土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3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研究。首先,考虑基质吸力的横观各向同性效应,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弹性本构方程描述,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规律描述;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: Stratified loess exhibits characteristics of transverse isotropy, often exists in an unsaturated state, and demonstrates significant elastoplastic deformation. However, constitutive models that simultaneously account for these three aspects—transverse isotropy, unsaturation, and elastoplastic behavior—have not been reported. To address this gap, a comprehensive study is conducted through systematic laboratory tests and theoretical analysis to investigate the elastoplastic constitutive model and mechanical properties of transversely isotropic unsaturated loess. First, considering the transversely isotropic effects of matric suction, an elasticity constitutive equation for transversely isotropic unsaturated loess is developed. The elastic component is described using an elasticity constitutive equation for transversely isotropic unsaturated soil, while the plastic component is characterized by a yield function and potential function based on the generalized Mohr-Coulomb criterion, along with a non-associated flow rule and a strain hardening rule. Second, a series of triaxial tests under different stress paths are designed to determine the elastic and plastic parameters of the model. Finally, the model is preliminarily validated through unsaturated true triaxial tests under various intermediate principal stresses and net confining pressures. The experimental results show good agreement with the model predictions. This research provides accurate insights into the strength and deformation characteristics of transversely isotropic unsaturated loess under complex stress paths. It offers theoretical support and a scientific basis for deformation and stability analysis, as well as engineering design of natural stratified foundations and large-scale filled foundations. Furthermore, it contributes to the enrichment and development of constitutive models in soil mechanics.

       

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