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Representative elementary volume

About: Representative elementary volume is a research topic. Over the lifetime, 4105 publications have been published within this topic receiving 86863 citations.


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Journal ArticleDOI
TL;DR: In this paper, a finite element formulation for the numerical prediction of the mechanical behavior of rubber-like materials which are reinforced with single walled carbon nanotubes is presented. And the influence of the single-walled carbon-nanotube addition within the rubber is clearly illustrated and discussed.

52 citations

Journal ArticleDOI
TL;DR: Gologanu et al. as mentioned in this paper extended the Gurson and GLD models to involve the coupled effects of void size and void shape on the macroscopic yield behavior of non-linear porous materials and on the void growth.

51 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the most appropriate elementary volume size for numerical modeling for mass transport in hydrating cement paste and found that the size of an elementary volume largely depends on the complexity of the pore morphology and the degree of cement hydration, which in turn primarily depends on porosity of the simulated microstructure, the employed numerical resolution as well as on the initial particle size distribution of the unhydrated cement grains.
Abstract: Representative elementary volumes (REV) are of major importance for modeling the transport properties of multi-scale porous materials. REVs can be used to schematize heterogeneous microstructures and form the basis of a numerical analysis. In this paper, the most appropriate REV size for numerical modeling for mass transport in hydrating cement paste is investigated. Numerous series (264) of virtual three-dimensional (3D) microstructures with different porosities and pore morphologies were generated using Hymostruc, a numerical simulation model for cement hydration and microstructure development. The influence of the initial particle size distribution, hydration evolution, numerical resolution and type of transport boundary conditions (periodic versus non-periodic) was investigated. The effective diffusivity was obtained by using a 3D finite difference scheme. The connectivity, dead-end porosity, tortuosity and constrictivity of the capillary pore network was evaluated. Based on a statistical chi-square analysis, it was concluded that the REV size largely depends on the complexity of the pore morphology, which in its turn, primarily depends on the degree of cement hydration, i.e. the porosity of the simulated microstructure, the employed numerical resolution as well as on the initial particle size distribution of the unhydrated cement grains. Furthermore, the results proved that employing periodic boundary conditions can effectively decrease the variability of the calculated effective properties and, thus, lower the size of an REV.

51 citations

Journal ArticleDOI
TL;DR: In this article, the elastic properties, strength envelope, and different failure patterns of masonry material are homogenized by numerically simulating responses of a representative volume element (RVE) under different stress conditions.
Abstract: Homogenization is one of the most important steps in the numerical analysis of masonry structures where the continuum method is used. In this study, equivalent elastic properties, strength envelope, and different failure patterns of masonry material are homogenized by numerically simulating responses of a representative volume element (RVE) under different stress conditions. The RVE is modeled with distinctive consideration of the material properties of mortar and brick. In the numerical simulation, various displacement boundaries are applied on the RVE surfaces to derive the stress-strain relation under different conditions. The equivalent overall material properties of the RVE are averaged by integrating the stresses and strains over the entire area. Failure of masonry is defined by 3 different modes. The homogenized elastic properties and failure model can be used to analyze large-scale masonry structures.

51 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023134
2022241
2021243
2020293
2019287
2018253