# The choice of representative volumes in the approximation of effective properties of random materials

@article{Fischer2018TheCO, title={The choice of representative volumes in the approximation of effective properties of random materials}, author={J. Fischer}, journal={arXiv: Analysis of PDEs}, year={2018} }

The effective large-scale properties of materials with random heterogeneities on a small scale are typically determined by the method of representative volumes: A sample of the random material is chosen - the representative volume - and its effective properties are computed by the cell formula. Intuitively, for a fixed sample size it should be possible to increase the accuracy of the method by choosing a material sample which captures the statistical properties of the material particularly well… CONTINUE READING

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