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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 model of damage development within automotive sheet alloys has been developed using a damage percolation approach based on measured particle distributions, which demonstrates that damage initiates and percolates within particle clusters in a stable fashion for the majority of the deformation history.

53 citations

Journal ArticleDOI
TL;DR: Based on the 3D Representative Volume Element (RVE), an analytical model has been developed to study the stress transfer in single-walled carbon nanotube (SWCNT) reinforced polymer composites as mentioned in this paper.
Abstract: Based on the new simplified 3D Representative Volume Element (RVE) for a wavy carbon nanotube (CNT), an analytical model has been developed to study the stress transfer in single-walled carbon nanotube (SWCNT) reinforced polymer composites. The model is capable of predicting axial as well as interfacial shear stresses along a wavy CNT embedded in a matrix. Based on the pullout modeling technique, the effects of waviness, aspect ratio, CNT diameter, volume fraction, Poisson’s ratio and matrix modulus on axial and interfacial shear stresses have also been analyzed in details. The results of the analytical model are in good agreements when compared with the corresponding results for straight CNTs.

53 citations

Journal ArticleDOI
TL;DR: In this paper, the authors extended the energetic homogenization procedure for the determination of the effective elasticity tensor of grid structures as proposed in an earlier paper to the analysis of general hexagonal and quadrilateral grid structures.

53 citations

Journal ArticleDOI
TL;DR: The representative elementary volume of a statistically homogeneous rock mass is defined as the minimum volume beyond which any submass behaves essentially like the whole rock mass as mentioned in this paper, and it is defined in terms of
Abstract: The representative elementary volume of a statistically homogeneous rock mass is defined as the minimum volume beyond which any submass behaves essentially like the whole rock mass. A simple, but s...

53 citations

Journal ArticleDOI
TL;DR: In this paper, the authors compare the performance of periodic boundary conditions and minimal kinematic boundary conditions applied to the unit cell of a particulate composite material, both in the absence and presence of damage at the particle-matrix interfaces.
Abstract: The choice of boundary conditions used in multiscale analysis of heterogeneous materials affects the numerical results, including the macroscopic constitutive response, the type and extent of damage taking place at the microscale and the required size of the Representative Volume Element (RVE). We compare the performance of periodic boundary conditions and minimal kinematic boundary conditions applied to the unit cell of a particulate composite material, both in the absence and presence of damage at the particle–matrix interfaces. In particular, we investigate the response of the RVE under inherently non-periodic loading conditions, and the ability of both boundary conditions to capture localization events that are not aligned with the RVE boundaries. We observe that, although there are some variations in the evolution of the microscale damage between the two methods, there is no significant difference in homogenized responses even when localization is not aligned with the cell boundaries.

53 citations


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