Nonlinear waves in heterogeneous elastic rods via homogenization

We 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...

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Main Authors: Quezada de Luna, M, Đuričković, B, Goriely, A
Format: Journal article
Published: 2011
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author Quezada de Luna, M
Đuričković, B
Goriely, A
author_facet Quezada de Luna, M
Đuričković, B
Goriely, A
author_sort Quezada de Luna, M
collection OXFORD
description We 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.
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institution University of Oxford
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spelling oxford-uuid:3f156d78-e9e0-40db-9469-a5bdcefb35e42022-03-26T14:29:45ZNonlinear waves in heterogeneous elastic rods via homogenizationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3f156d78-e9e0-40db-9469-a5bdcefb35e4Mathematical Institute - ePrints2011Quezada de Luna, MĐuričković, BGoriely, AWe 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.
spellingShingle Quezada de Luna, M
Đuričković, B
Goriely, A
Nonlinear waves in heterogeneous elastic rods via homogenization
title Nonlinear waves in heterogeneous elastic rods via homogenization
title_full Nonlinear waves in heterogeneous elastic rods via homogenization
title_fullStr Nonlinear waves in heterogeneous elastic rods via homogenization
title_full_unstemmed Nonlinear waves in heterogeneous elastic rods via homogenization
title_short Nonlinear waves in heterogeneous elastic rods via homogenization
title_sort nonlinear waves in heterogeneous elastic rods via homogenization
work_keys_str_mv AT quezadadelunam nonlinearwavesinheterogeneouselasticrodsviahomogenization
AT đurickovicb nonlinearwavesinheterogeneouselasticrodsviahomogenization
AT gorielya nonlinearwavesinheterogeneouselasticrodsviahomogenization