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首页> 外文期刊>Cold regions science and technology >Linear elastic constitutive relation for multiphase porous media using microstructure superposition: Dry media
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Linear elastic constitutive relation for multiphase porous media using microstructure superposition: Dry media

机译：使用微结构叠加的多相多孔介质的线性弹性本构关系：干介质

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摘要

A constitutive relation for multiphase porous media containing a phase-change constituent is developed based on a periodic representative unit cell, microstructure superposition technique, and homogenization scheme. Multiphase porous mediae, consisting of different solid phases, fluid phases, and phase-change constituents, play an important role in variety engineering applications. A microstructure superposition method, stemmed from linear superposition theory, is devised such that the constitutive relation of the media can be obtained in an analytical form and the derivation is straightforward and tractable. The original microstructure of the media is firstly divided into several simple microstructure configurations. The microscopic stresses and strains are obtained for each individual microstructure configuration based on its own equilibrium and equivalent equations, and complex Fourier series expansion of strains. The microscopic strains are then superposed together to obtain the constitutive relation of the multiphase porous media using homogenization scheme. The derived constitutive relation can be applied to study the mechanical behavior of porous media consisting of two solid phases with one being able to change phase between solid and liquid and one liquid phase. As a particular application of the derived constitutive relation, the mechanical behavior of porous media with a single solid phase under dry condition was studied and the results were consistent with other models and agreed well with available experimental data.
机译：基于周期代表晶胞，微观结构叠加技术和均质化方案，建立了包含相变成分的多相多孔介质的本构关系。由不同固相，液相和相变成分组成的多相多孔介质在多种工程应用中起着重要作用。设计了一种基于线性叠加理论的微观结构叠加方法，从而可以以解析形式获得介质的本构关系，并且推导简单明了。介质的原始微观结构首先分为几个简单的微观结构配置。基于其自身的平衡和等效方程式以及应变的复杂傅立叶级数展开，为每个单独的微结构配置获取了微观应力和应变。然后使用均质方案将微观应变叠加在一起，以获得多相多孔介质的本构关系。所推导的本构关系可以用于研究由两种固相组成的多孔介质的力学行为，其中一种可以在固液之间改变相，而一种可以改变液相。作为导出本构关系的一种特殊应用，研究了在干燥条件下具有单一固相的多孔介质的力学行为，其结果与其他模型一致，并且与可用的实验数据非常吻合。

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