Abstract
Consider an elastic thin three-dimensional body made of a periodic distribution of elastic inclusions. When both the thickness of the beam and the size of the heterogeneities tend simultaneously to zero the authors obtain three different one-dimensional models of beam depending upon the limit of the ratio of these two small parameters.
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Acknowledgements
Professor Miara wishes to thank Professor Yamamoto very deeply for his kind hospitality at the University of Tokyo where part of this work was done.
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Griso, G., Miara, B. Homogenization of Periodically Heterogeneous Thin Beams. Chin. Ann. Math. Ser. B 39, 397–426 (2018). https://doi.org/10.1007/s11401-018-0075-7
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DOI: https://doi.org/10.1007/s11401-018-0075-7