Finite Deformation and Fluid Flow in Unsaturated Soils with Random Heterogeneity
Finite Deformation and Fluid Flow in Unsaturated Soils with Random Heterogeneity
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DOI：
10.2136/vzj2013.07.0131
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发表时间：
2014-05
影响因子：
2.8
通讯作者：
Xiaoyu Song;R. Borja
中科院分区：
文献类型：
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作者：
Xiaoyu Song;R. Borja
热力学第一定律表明了饱和度、吸力和非饱和多孔材料密度之间的能量共轭关系。实验证据证实了这种本构关系的存在，并且保水曲线取决于材料的比容或密度。这个本构特征必须被纳入到涉及有限变形的边值问题的数学公式中。我们提出了一个完全耦合的流体力学公式在有限变形范围内，结合了基尔霍夫吸力和雅可比行列式的固相运动的饱和度的变化。密度和饱和度随机分布的非饱和土中的固体变形-流体流动的数值模拟表明了流体力学过程的复杂但良好的耦合。当变形局部化到一个持久的剪切带中时，我们表明流体力学响应的分叉不仅表现为软化行为的形式，而且还表现为保水表面上状态路径的分叉。
The first law of thermodynamics suggests an energy‐conjugate relationship among degree of saturation, suction stress, and density of an unsaturated porous material. Experimental evidence affirms that this constitutive relationship exists and that the water retention curves are dependent on the specific volume or density of the material. This constitutive feature must be incorporated into the mathematical formulation of boundary‐value problems involving finite deformation. We present a fully coupled hydromechanical formulation in the finite deformation range that incorporates the variation of degree of saturation with the Kirchhoff suction stress and the Jacobian determinant of the solid‐phase motion. A numerical simulation of solid deformation–fluid flow in unsaturated soil with randomly distributed density and degree of saturation demonstrates an intricate but well‐established coupling of the hydromechanical processes. As deformation localizes into a persistent shear band, we show that bifurcation of the hydromechanical response manifests itself not only in the form of a softening behavior but also through bifurcation of the state paths on the water‐retention surface.