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首页> 外文期刊>International Journal of Solids and Structures >An analytical homogenization method for heterogeneous porous materials
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An analytical homogenization method for heterogeneous porous materials

机译：均质多孔材料的分析均质化方法

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摘要

The objective of this work is to develop an analytical homogenization method to estimate the effective mechanical properties of fluid-filled porous media with periodic microstructure. The method is based on the equivalent inclusion concept of homogenization applied earlier for solid-solid mixture. It is assumed that porous media are described by the poroelastic constitutive law developed by Biot where porosity is a material parameter. By solving the governing equations of poroelasticity in Fourier transformed domain, the relation between periodic strain and eigenstrain in porous media is established. This relation is subsequently used in an average consistency condition involving both solid and fluid phase stresses and strains. The geometry of the porous microstructure is captured in the g-integral. This homogenization method can also be applied to estimate the equivalent properties of solid-fluid mixture where a pure solid and fluid can be modeled by assuming very low and high porosity, respectively. Several examples are considered to establish this new method by comparing with other existing analytical and numerical methods of homogenization. As an application, poroelastic properties of cortical bone fibril are estimated and compared with previously computed values.
机译：这项工作的目的是开发一种分析均质方法，以估计具有周期性微结构的充满流体的多孔介质的有效机械性能。该方法基于较早应用于固体-固体混合物的均质化的等效夹杂物概念。假设多孔介质是由比奥开发的孔隙弹性本构关系描述的，其中孔隙度是材料参数。通过求解傅立叶变换域中孔隙弹性的控制方程，建立了多孔介质中周期应变与本征应变的关系。该关系随后用于涉及固相和液相应力和应变的平均稠度条件。多孔微结构的几何形状被捕获在g积分中。这种均质化方法还可以用于估算固液混合物的等效性能，其中可以分别通过假设非常低和非常高的孔隙度来模拟纯固体和流体。通过与其他现有的均质化分析和数值方法进行比较，考虑了几个实例来建立这种新方法。作为一种应用，可以估算皮质骨原纤维的多孔弹性，并将其与先前计算的值进行比较。

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