Non-linear waves in heterogeneous elastic rods via homogenization
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AbstractWe consider the propagation of a planar loop on a heterogeneous elastic rod with a periodic microstructure consisting of two alternating homogeneous regions with different material properties. The analysis is carried out using a second-order homogenization theory based on a multiple scale asymptotic expansion. © 2011 Elsevier Ltd. All rights reserved.
CitationDe Luna MQ, Đuričković B, Goriely A (2012) Non-linear waves in heterogeneous elastic rods via homogenization. International Journal of Non-Linear Mechanics 47: 197–205. Available: http://dx.doi.org/10.1016/j.ijnonlinmec.2011.05.005.
SponsorsThis publication is based in part upon work supported by the National Science Foundation under Grant DMS-0907773 and by Award no. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (A.G.). A.G. is a Wolfson/Royal Society Merit Award holder.