Daly K R, Roose T
Bioengineering Sciences Research Group, Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, UK.
Proc Math Phys Eng Sci. 2018 Jan;474(2209):20170141. doi: 10.1098/rspa.2017.0141. Epub 2018 Jan 31.
In this paper, we use homogenization to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air-filled pore space and a poro-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrize the macro-scale equations. To validate the homogenization procedure, we compare the predictions of the homogenized equations with those of the full equations for a range of different geometries and material properties. We show that the results differ by [Formula: see text] for all cases considered. The success of the homogenization scheme means that it can be used to determine the macro-scale poro-elastic properties of soils from the underlying structure. Hence, it will prove a valuable tool in both characterization and optimization.
在本文中，我们使用均匀化方法来推导一组针对由刚性固体颗粒、充满空气的孔隙空间以及孔隙弹性混合相组成的土壤的宏观尺度孔隙弹性方程。我们考虑在大变形极限情况下的推导，并表明通过求解微观尺度上的代表性问题，我们可以对宏观尺度方程进行参数化。为了验证均匀化过程，我们将均匀化方程的预测结果与一系列不同几何形状和材料特性的完整方程的预测结果进行了比较。我们表明，在所考虑的所有情况下，结果相差[公式：见原文]。均匀化方案的成功意味着它可用于从底层结构确定土壤的宏观尺度孔隙弹性特性。因此，它将在表征和优化方面证明是一个有价值的工具。
