Quadriphasic mechanics of swelling incompressible porous media
Quadriphasic mechanics of swelling incompressible porous media
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DOI：
10.1016/s0020-7225(96)00119-x
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发表时间：
1997-06-01
影响因子：
6.6
通讯作者：
Janssen, JD
中科院分区：
文献类型：
--
作者：
Huyghe, JM;Janssen, JD
从混合物理论出发，导出了膨胀不可压缩多孔介质准静态有限变形的化学-机电耦合方程。该模型由一个充满一价离子溶液的带电多孔固体组成。假设为不可压缩和等温变形。水化力被忽略。混合物作为一个整体被假定为局部电中性。定义了四个遵循不同运动路径的相：固体、流体、阴离子和阳离子。平衡定律推导出每个阶段和混合物阿萨个整体。热力学第二定律的拉格朗日形式推导出不可压缩多孔介质，并用于推导介质的本构关系。结果表明，对于无离子效应的极限情形，该理论与Blot的理论是一致的，对于无变形的极限情形，该理论与Staverman的结果是一致的。(C)1997 Elsevier Science Ltd.
A chemo-electro-mechanical formulation of quasi-static finite deformation of swelling incompressible porous media is derived from mixture theory. The model consists of an electrically charged porous solid saturated with a monovalent ionic solution. Incompressible and isothermal deformation is assumed. Hydration forces are neglected. The mixture as a whole is assumed locally electroneutral. Four phases following different kinematic paths are defined: solid, fluid, anions and cations. Balance laws are derived for each phase and for the mixture asa whole. A Lagrangian form of the second law of thermodynamics is derived for incompressible porous media and is used to derive the constitutive relationships of the medium. It is shown that the theory is consistent with Blot's theory for the limiting case without ionic effects and with Staverman's results for the limiting case without deformation. (C) 1997 Elsevier Science Ltd.