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    Non-linear waves in heterogeneous elastic rods via homogenization

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    Type
    Article
    Authors
    Quezada de Luna, Manuel
    Duričković, Bojan
    Goriely, Alain cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2012-03
    Permanent link to this record
    http://hdl.handle.net/10754/594281
    
    Metadata
    Show full item record
    Abstract
    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. © 2011 Elsevier Ltd. All rights reserved.
    Citation
    De 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.
    Sponsors
    This 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.
    Publisher
    Elsevier BV
    Journal
    International Journal of Non-Linear Mechanics
    DOI
    10.1016/j.ijnonlinmec.2011.05.005
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.ijnonlinmec.2011.05.005
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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