Abstract

This paper presents a general constitutive model to describe the coupling among bulk solid stress, pore fluid pressure, and adsorption in a fluid-saturated multiple-porosity elastic solid. The general case of N coexisting porosities is considered. Each porosity system may contain fluid in the free or adsorbed phase, as well as in both phases. Thus, the utility of the developed constitutive relations extends to materials with complex pore structures, which may involve several scales of pore size. These relations are obtained from the thermodynamic free energy density function for deformation of the porous solid frame while incorporating the surface energy stored at the interface between the pore fluid and solid phase. A number of previously published models for coupled adsorption and poroelasticity in microporous and mesoporous materials are examined as special cases. Possible means of estimating the constitutive model parameters are discussed.

中文翻译：

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多孔固体中的孔隙力学与吸附耦合

摘要

本文提出了一个通用本构模型来描述流体饱和的多重孔隙弹性固体中体积固体应力、孔隙流体压力和吸附之间的耦合。N的一般情况考虑共存的孔隙。每个孔隙系统可以包含游离相或吸附相以及两相中的流体。因此，所开发的本构关系的实用性扩展到具有复杂孔隙结构的材料，这可能涉及多个尺度的孔径。这些关系是从多孔固体框架变形的热力学自由能密度函数获得的，同时结合了存储在孔隙流体和固相之间的界面处的表面能。许多先前发表的微孔和介孔材料中的耦合吸附和孔隙弹性模型都作为特殊情况进行了研究。讨论了估计本构模型参数的可能方法。