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Damping in Materials and Structures: An Overview Read chapter Read first chapter

2018 | OriginalPaper | Chapter

9. Analysis of Nonlinear Wave Propagation in Hyperelastic Network Materials

Authors : Hilal Reda, Khaled ElNady, Jean-François Ganghoffer, Nikolas Karathanasopoulos, Yosra Rahali, Hassan Lakiss

Published in: Generalized Models and Non-classical Approaches in Complex Materials 2

Publisher: Springer International Publishing

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Abstract

We analyze the acoustic properties of microstructured repetitive network material undergoing configuration changes leading to geometrical nonlinearities. The effective constitutive law of the homogenized network is evaluated successively as an effective first nonlinear 1D continuum, based on a strain driven incremental scheme written over the reference unit cell, taking into account the changes of the lattice geometry. The dynamical equations of motion are next written, leading to specific dispersion relations. The inviscid Burgers equation is obtained as a specific wave propagation equation for the first order effective continuum when the expression of the energy includes third order contributions, whereas a perturbation method is used to solve the dynamical properties for the effective medium including fourth order terms. This methodology is applied to analyze wave propagation within different microstructures, including the regular and reentrant hexagons, and plain weave textile pattern.

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previous chapter Nonlinear Acoustic Wedge Waves
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Metadata
Title
Analysis of Nonlinear Wave Propagation in Hyperelastic Network Materials
Authors
Hilal Reda
Khaled ElNady
Jean-François Ganghoffer
Nikolas Karathanasopoulos
Yosra Rahali
Hassan Lakiss
Copyright Year
2018
Publisher
Springer International Publishing
Book
Generalized Models and Non-classical Approaches in Complex Materials 2

Print ISBN: 978-3-319-77503-6

Electronic ISBN: 978-3-319-77504-3

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-77504-3_9

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