超固结非饱和黏性土的三剪结构性本构模型

THE TRIPLE-SHEAR STRUCTURED CONSTITUTIVE MODEL FOR OVER-CONSOLIDATED UNSATURATED CLAYS

  • 摘要: 以扰动状态概念为核心,相对完整状态采用线弹性增量矩阵来表征;完全调整状态则是以将非饱和土三剪破坏应力比、统一硬化参数与修正剑桥模型相结合而建立的弹塑性增量矩阵来表征;将两种状态代入到扰动函数增量方程中,并进行三维化处理,推导得到超固结非饱和黏性土的三剪结构性本构模型。针对江西红黏土,采用微生物诱导碳酸钙沉淀方法制备人工结构性土,原理是菌液与胶结液结合使土体颗粒间具有胶结力。利用GDS非饱和三轴仪进行不同超固结比和基质吸力条件下的非饱和土三轴固结排水试验。将本构模型计算结果与超固结非饱和结构性土的三轴试验结果进行对比验证。结果表明,所建本构模型计算模拟曲线与试验曲线具有相同的变化规律,可以较好地反映超固结土体的应变软化、剪胀和剪缩等特性,验证了所推导的本构模型的正确性。真三轴数值模拟试验结果表明:该本构模型能够较好地反映中间主应力影响系数的影响,并且随着中间主应力影响系数值的增大,应力峰值增大。新的本构模型可以较好地体现出超固结非饱和结构性土在真三轴条件下的力学特性。

     

    Abstract: Within the Disturbed State Concept framework, the relatively intact state is characterized by a linear elastic incremental matrix. Conversely, the fully adjusted state is represented by an elasto-plastic incremental matrix synthesizing the triple-shear failure stress ratio for unsaturated soils, unified hardening parameter, and modified Cam-Clay model. Substitution of these state characterizations into the incremental disturbance function equation and subsequent three-dimensional formulation yields the developed triple-shear structured constitutive model for over-consolidated unsaturated clays. Artificial structured soil was fabricated from Jiangxi red clay through the treatment with bacterial suspension and cementation solution. This technique operates on the principle of Microbially Induced Calcite Precipitation (MICP), whereby biochemical reactions generate calcite bonds between cement soil particles. Unsaturated triaxial consolidated drained testing was performed under controlled overconsolidation ratios and matric suctions using a GDS apparatus. Model validation against experimental triaxial data demonstrates close alignment between simulated and measured stress-strain responses. The model accurately replicates key over-consolidated soil behaviors, including strain softening, dilatancy, and contraction, confirming its validity. True triaxial numerical simulations confirm the model’s capability to capture the influence of the intermediate principal stress coefficient. The peak deviatoric stress increases with higher values of the intermediate principal stress coefficient. The constitutive model is verified to effectively represent the mechanical behavior of over-consolidated unsaturated structured clays under true triaxial stress paths.

     

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