Journal of Applied Science and Engineering

Published by Tamkang University Press


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Trung-Kien Nguyen1This email address is being protected from spambots. You need JavaScript enabled to view it. and Thanh-Trung Vo2,3

1Faculty of Building and Industrial Construction, Hanoi University of Civil Engineering, Hanoi, Vietnam

2School of Transportation Engineering, Danang Architecture University, Danang city, Vietnam

3Office of Research Administration, Danang Architecture University, Danang city, Vietnam



Received: December 28, 2023
Accepted: April 21, 2024
Publication Date: May 4, 2024

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

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Modeling the behavior of sandstone across the scales is a crucial subject of numerous research studies. Since the material is composed of smaller grains, its macroscopic mechanical behavior is thus dominant by the microscopic evolutions of the constituents. In this paper, a cross-scale model (CSM) intimately combines Finite Element Method (FEM), and Discrete Element Method (DEM) was developed. At the sample scale, FEM is used while DEM is employed to model grains’ interactions. Cross-scale simulation is then performed showing good correlation between numerical and experimental data on Fontainebleau sandstone. Remarkably, going down to the scale of material constituent, the result suggests that the shear band observed at sample scale are directly connected to the microscopic manifestation at grains scale. Three zones corresponding to the sample failure level are highlighted. Those are the core of SB where the material degrades the most, the adjacent zones where material are partly damaged and quasi-intact zones outside the SB. Microscopic properties in terms of void ratio and cohesive coordination number vary consistently with the identified zones.

Keywords: Cross-scales analysis; Macro-micro; Shear band; Sandstone

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