for periodic materials, determining Lrve is simple but for a non-homogeneous material such as concrete, it is not that simple.
any advice such as methods, references, etc. would be appreciated.
links
http://technopress.kaist.ac.kr/samplejournal/pdf/cac0901003.pdf
http://dl.acm.org/citation.cfm?id=2983148
http://www.sciencedirect.com/science/article/pii/S0020768312002193
http://framcos.org/FraMCoS-5/Gitman.Representative.pdf
http://pbc.gda.pl/Content/12856/phd_skarzynski_lukasz.pdf
Dear Alireza,
We usually use RVE to obtain homogenized properties of a non-homogeneous material e.g. concrete. In fact, RVE is a sample of the micro or meso-structure that needs to be enough large to includes all heterogeneity of the subscale. However, this definition does not help us with the determination of the RVE size. Of course, more large more accurate results. Even in periodic materials, a large RVE gives more accurate results than the small one. This is due to the boundary conditions that we impose on RVEs.
Therefore, it is the accuracy that choose the size of RVE. If you want more accurate results you need to consider a larger RVE.
Please find below some useful papers:
Kouznetsova, V. G., Brekelmans, W. a. M. and Baaijens, F. P. T. [2001], `An approach to micro-macro modeling of heterogeneous materials', Computational Mechanics 27(1), 37{48. 2, 36
Kouznetsova, V. G., Geers, M. G. D. and Brekelmans, W. a. M. [2002], `Multi-scale constitutive modelling of heterogeneous materials with a gradient enhanced computational homogenization scheme', International Journal for Numerical Methods in Engineering 54(8), 1235{1260
A Akbari Rahimabadi, P Kerfriden, S Bordas, Scale selection in nonlinear fracture mechanics of heterogeneous materials, Philosophical Magazine 95 (28-30), 3328-3347
All the best,
A
11th Nov, 2016
Vinh Phu Nguyen
Monash University (Australia)
You should read the article of Martijn Stroeven, Harm Askes and Bert Sluys, Determination of RVE size...
11th Nov, 2016
Roozbeh Rezakhani
École Polytechnique Fédérale de Lausanne
Hi Alireza,
The main problem in RVE size determination for softening materials such as RVE is in reproducing the post peak branch. In Elastic and pre-peak hardening regime, size of the RVE can be much smaller than the finite element, while in the post peak regime, size of the RVE should be equal to the RVE size to get the correct softening response. This is shown by Gitman as a coupled volume approach. I also explored this issue in my PhD thesis which was focused on homogenization of concrete, you can find my thesis and my recent paper at the following links:
http://search.proquest.com/docview/1826046158?accountid=12861
http://www.sciencedirect.com/science/article/pii/S0022509616300011
good luck
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