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Representative volume: Existence and size determination |
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| Authors: | I.M. Gitman H. Askes |
| Affiliation: | a The University of Manchester, School of Mechanical, Aerospace and Civil Engineering, Pariser Building, P.O. Box 88, Sackville Street, Manchester M60 1QD, United Kingdom b University of Sheffield, Department of Civil and Structural Engineering, Sir Frederick Mappin Building, Mappin Street, Sheffield S1 3JD, United Kingdom c Delft University of Technology, Faculty of Civil Engineering and Geosciences, P.O. Box 5048, 2600 GA Delft, Netherlands |
| 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: | Representative volume element (RVE) Elasticity Softening materials Heterogeneous materials |
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