考虑组构各向异性的应力分数阶软土本构模型

    Fractional stress constitutive model for soft soil considering fabric anisotropy

    • 摘要: 岩土工程中,天然沉积过程通常会使得土体表现出一定程度上的各向异性,即强度、刚度和变形等力学性质对方向具有明显的依赖性。在外部荷载作用下,土体内部结构会随着加载而发生变化,从而产生应力诱导各向异性,进一步影响土体的力学行为。此外,大量试验结果表明,土体在加载过程中普遍表现出非关联塑性流动和显著的状态依赖性。为简洁合理地描述上述特性,基于修正剑桥屈服面,提出了一种适用于软土的分数阶各向异性本构模型。该模型能够在不引入额外的塑性势面或状态参数的情况下,实现状态相关的非关联塑性流动,并且较好地反映土体的应力剪胀等行为。最后,通过对软土的不同应力路径模拟,包括常规三轴试验、空心扭剪试验,对模型的有效性进行了验证。结果表明,模型预测结果与试验数据吻合良好,说明该模型能够有效反映软土的复杂力学响应特征。

       

      Abstract: In geotechnical engineering, natural sedimentation processes typically induce soils with inherent anisotropy in soils to a certain extent; so that mechanical properties such as strength, stiffness, and deformability show obvious directional dependence. Under external loading, the internal structure of soil evolves during continued loading, and produces to stress-induced anisotropy, which in turn affects the mechanical behavior of the soil. Furthermore, extensive experimental evidence indicates that soils generally exhibit non-associated plastic flow and significant state dependence during shearing. To concisely and rationally describe these characteristics, this study proposes a fractional anisotropic constitutive model applicable to soft soils, based on a modified Cam-clay yield criterion. The model can achieve state-dependent non-associated plastic flow without requiring an additional plastic potential function or state parameters, and capture soil behaviors, such as stress-dilatancy, more accurately. Finally, the model's validity is verified by simulating soft soil under various stress paths, including conventional triaxial compression and hollow cylinder torsional shear tests. The results demonstrate that the model predictions are in good agreement with experimental data, confirming its effectiveness in representing the complex mechanical characteristics of soft soils.

       

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