Abstract In the framework of the second-order concurrent computation homogenization method for saturated granular material, meso-structured RVE (Representative Volume Element) is modeled as a compact assembly of saturated discrete particles. The boundary conditions imposed on the RVE are comprised of the two parts: (1) the boundary displacements and pressures prescribed by downscaled macroscopic strain variables and pore pressure, and (2) constrained fine scale fluctuations of mesoscopic hydro-mechanical variables expressed in terms of periodic boundary conditions. The present paper focuses on the estimation of effective hydro-mechanical material properties and constitutive behaviors of meso-structured RVE of saturated discrete particle assembly via a proposed homogenization procedure. To achieve this target, a novel scheme for determining and imposing periodic boundary conditions on peripheral particles contacting with the RVE boundary of saturated discrete particle assembly is proposed. Numerical results demonstrate performances and capabilities of the proposed scheme in estimating effective hydro-mechanical non-linear material properties and predicting hydro-mechanical constitutive behaviors of saturated granular materials evolving with loading histories. They also demonstrate the significance and necessity of imposing periodic boundary conditions on the RVE in proper prediction of effective hydro-mechanical material properties and constitutive behaviors.

中文翻译：

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饱和颗粒介质细观结构 RVE 的有效流体力学材料特性和本构行为

摘要 在饱和颗粒材料的二阶并发计算均质化方法的框架内，细观结构的RVE（代表性体积元）被建模为饱和离散颗粒的紧凑组装。施加在 RVE 上的边界条件由两部分组成：(1) 由缩小的宏观应变变量和孔隙压力规定的边界位移和压力，以及 (2) 以下列形式表示的细观流体力学变量的约束精细尺度波动周期性边界条件。本论文的重点是通过提出的均质化程序来估计饱和离散粒子组件的细观结构 RVE 的有效流体力学材料特性和本构行为。为了实现这个目标，提出了一种新方案，用于确定和施加周期性边界条件到与饱和离散粒子集合的 RVE 边界接触的外围粒子。数值结果证明了所提出的方案在估计有效的流体力学非线性材料特性和预测随载荷历史演变的饱和颗粒材料的流体力学本构行为方面的性能和能力。他们还证明了在 RVE 上施加周期性边界条件以正确预测有效的流体力学材料特性和本构行为的重要性和必要性。数值结果证明了所提出的方案在估计有效的流体力学非线性材料特性和预测随载荷历史演变的饱和颗粒材料的流体力学本构行为方面的性能和能力。他们还证明了在 RVE 上施加周期性边界条件以正确预测有效的流体力学材料特性和本构行为的重要性和必要性。数值结果证明了所提出的方案在估计有效的流体力学非线性材料特性和预测随加载历史演变的饱和颗粒材料的流体力学本构行为方面的性能和能力。他们还证明了在 RVE 上施加周期性边界条件以正确预测有效的流体力学材料特性和本构行为的重要性和必要性。