Representative volume: Existence and size determination

I. M. Gitman; H. Askes; L. J. Sluys

doi:10.1016/j.engfracmech.2006.12.021

Representative volume: Existence and size determination

I. M. Gitman^*, H. Askes, L. J. Sluys

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

600 Citations (Scopus)

Abstract

The concept of the representative volume element (RVE) is analysed in the present paper. For elastic materials the RVE exists and one can determine the size of the RVE. However, for other applications, such as the case of softening materials, the RVE may not exist. In the present work the RVE has been investigated for different stages of the material response, including pre- and post-peak loading regimes. Results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.

Original language	English
Pages (from-to)	2518-2534
Number of pages	17
Journal	Engineering fracture mechanics
Volume	74
Issue number	16
DOIs	https://doi.org/10.1016/j.engfracmech.2006.12.021
Publication status	Published - Nov 2007
Externally published	Yes

Keywords

Elasticity
Heterogeneous materials
Representative volume element (RVE)
Softening materials
n/a OA procedure

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10.1016/j.engfracmech.2006.12.021

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title = "Representative volume: Existence and size determination",

abstract = "The concept of the representative volume element (RVE) is analysed in the present paper. For elastic materials the RVE exists and one can determine the size of the RVE. However, for other applications, such as the case of softening materials, the RVE may not exist. In the present work the RVE has been investigated for different stages of the material response, including pre- and post-peak loading regimes. Results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.",

keywords = "Elasticity, Heterogeneous materials, Representative volume element (RVE), Softening materials, n/a OA procedure",

author = "Gitman, {I. M.} and H. Askes and Sluys, {L. J.}",

year = "2007",

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journal = "Engineering fracture mechanics",

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T2 - Existence and size determination

AU - Gitman, I. M.

AU - Askes, H.

AU - Sluys, L. J.

PY - 2007/11

Y1 - 2007/11

N2 - The concept of the representative volume element (RVE) is analysed in the present paper. For elastic materials the RVE exists and one can determine the size of the RVE. However, for other applications, such as the case of softening materials, the RVE may not exist. In the present work the RVE has been investigated for different stages of the material response, including pre- and post-peak loading regimes. Results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.

AB - The concept of the representative volume element (RVE) is analysed in the present paper. For elastic materials the RVE exists and one can determine the size of the RVE. However, for other applications, such as the case of softening materials, the RVE may not exist. In the present work the RVE has been investigated for different stages of the material response, including pre- and post-peak loading regimes. Results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.

KW - Elasticity

KW - Heterogeneous materials

KW - Representative volume element (RVE)

KW - Softening materials

KW - n/a OA procedure

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DO - 10.1016/j.engfracmech.2006.12.021

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SN - 0013-7944

VL - 74

SP - 2518

EP - 2534

JO - Engineering fracture mechanics

JF - Engineering fracture mechanics

IS - 16

ER -

Representative volume: Existence and size determination

Abstract

Keywords

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