Non-linear waves in heterogeneous elastic rods via homogenization

Manuel Quezada de Luna; Bojan Duričković; Alain Goriely

doi:10.1016/j.ijnonlinmec.2011.05.005

Non-linear waves in heterogeneous elastic rods via homogenization

Manuel Quezada de Luna, Bojan Duričković, Alain Goriely

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	197-205
Number of pages	9
Journal	International Journal of Non-Linear Mechanics
Volume	47
Issue number	2
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2011.05.005
State	Published - Mar 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: 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.

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10.1016/j.ijnonlinmec.2011.05.005

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title = "Non-linear waves in heterogeneous elastic rods via homogenization",

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. {\textcopyright} 2011 Elsevier Ltd. All rights reserved.",

author = "{Quezada de Luna}, Manuel and Bojan Duri{\v c}kovi{\'c} and Alain Goriely",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: 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.",

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AU - Goriely, Alain

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AB - 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.

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

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ER -

Non-linear waves in heterogeneous elastic rods via homogenization

Abstract

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