An effective stress-based approach to modeling the hydro-mechanical behavior of unsaturated soils

Zhaoyang Song, Tiantian Ma, Guoqing Cai, Yan Liu, Changfu Wei
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Abstract

A constitutive model of unsaturated soils is developed by incorporating the concept of intergranular stress into the framework of the modified Cam-Clay model. Within this context, the degree of saturation is viewed as an internal state variable, so that the soil-water retention function appears naturally as an evolution equation for the volume fraction of water. The new model not only has a neat structure but also includes fewer material parameters compared to the other models. A new volumetric-hardening law is proposed by taking into account the effect of wetting-induced pore collapse. It is shown that the collapsing void ratio (the current void ratio minus the void ratio at full saturation under the same effective stress) is dominated by the degree of pore air saturation (one minus the degree of water saturation), and practically independent of intergranular pulling forces, highlighting the important effect of soil fabric on the wetting-induced pore collapse. The proposed model is applied to simulate different types of experiments on unsaturated soils subjected to various combined hydraulic and mechanical loadings, showing its capability and diversity in modeling the hydraulic and mechanical behavior of unsaturated soils.
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基于有效应力的非饱和土壤水力机械行为建模方法
通过将粒间应力概念纳入修正的卡姆-克莱模型框架,建立了非饱和土壤的构成模型。在此背景下,饱和度被视为一个内部状态变量,因此土壤水分保留函数自然地成为水体积分数的演化方程。与其他模型相比,新模型不仅结构简单,而且包含的材料参数较少。考虑到湿润引起的孔隙塌陷效应,提出了一种新的体积硬化定律。结果表明,塌陷空隙率(相同有效应力下的当前空隙率减去完全饱和时的空隙率)受孔隙空气饱和度(1 减去水饱和度)的支配,实际上与晶间拉力无关,突出了土壤结构对湿润诱导孔隙塌陷的重要影响。所提出的模型被用于模拟不同类型的非饱和土壤在各种水力和机械综合荷载作用下的实验,显示了其在非饱和土壤水力和机械行为建模方面的能力和多样性。
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