Flexible membrane boundary condition DEM-FEM for drained and undrained monotonic and cyclic triaxial tests

IF 2.4 3区工程技术

Granular Matter Pub Date : 2024-09-13 DOI:10.1007/s10035-024-01462-y

Tarek Mohamed, Jérôme Duriez, Guillaume Veylon, Laurent Peyras

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Abstract

Accurate simulation of laboratory undrained and cyclic triaxial tests on granular materials using the Discrete Element Method (DEM) is a crucial concern. The evolution of shear bands and non-uniform stress distribution, affected by the membrane boundary condition, can significantly impact the mechanical behavior of samples. In this work, the flexible membrane is simulated by using the Finite Element Method coupled with DEM. In addition, we introduce a hydro-mechanical coupling scheme with a compressible fluid to reproduce the different undrained laboratory tests by using the membrane boundary. The evolution of pore pressure is computed incrementally based on the variation of volumetric strain inside the sample. The results of the membrane boundary condition are compared with more classical DEM simulations such as rigid wall and periodic boundaries. The comparison at different scales reveals many differences, such as the initial anisotropic value for a given preparation procedure, fabric evolution, volumetric strain and the formation of shear bands. Notably, the flexible boundary exhibits more benefits and better aligns with experimental data. As for the undrained condition, the results of the membrane condition are compared with experimental data of Toyoura sand and rigid wall boundary with constant volume. Finally, stress heterogeneity during undrained monotonic and cyclic conditions using the membrane boundary is highlighted.

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用于排水和不排水单调和循环三轴试验的柔性膜边界条件 DEM-FEM

使用离散元素法（DEM）对实验室颗粒材料的不排水和循环三轴试验进行精确模拟是一个至关重要的问题。受膜边界条件的影响，剪切带和非均匀应力分布的演变会严重影响样品的力学行为。在这项工作中，我们使用有限元法和 DEM 对柔性膜进行了模拟。此外，我们还引入了可压缩流体的水力机械耦合方案，利用膜边界重现不同的实验室排水试验。孔隙压力的演变是根据样本内部体积应变的变化逐步计算得出的。膜边界条件的结果与更经典的 DEM 模拟（如刚性壁和周期性边界）进行了比较。不同尺度的比较显示出许多差异，如给定制备程序的初始各向异性值、织物演变、体积应变和剪切带的形成。值得注意的是，柔性边界表现出更多优势，与实验数据更加吻合。至于排水条件，膜条件的结果与丰浦砂和恒定体积刚性壁边界的实验数据进行了比较。最后，强调了使用膜边界的单调和循环条件下的应力异质性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Granular Matter MATERIALS SCIENCE, MULTIDISCIPLINARY-MECHANICS

CiteScore

4.30

自引率

8.30%

发文量

期刊介绍： Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.