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A Comparison Between Heterogeneous and Homogeneous Layers for Nonlinear Bright Solitary SH Waves in Terms of Heterogeneous Effect

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Nonlinear Wave Dynamics of Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 122))

Abstract

In this chapter, we compare the nonlinear bright solitary shear horizontal (SH) waves in heterogeneous and homogeneous layers in terms of the heterogeneous effect. Each layer has finite thickness overlying a rigid substratum. We assume that the layers are made up of isotropic, hyper-elastic and generalized neo-Hookean (similarly, compressible or incompressible) materials. Moreover, one layer contains heterogeneous materials and another contains homogeneous materials. The existence of nonlinear bright solitary SH waves in such layers can be found in the literature. Therefore, we aim to overcome the difficulty of a comparison of two nonlinear analyzes for this paper. Besides a comparison part, we add a discussion on some materials in homogeneous media.

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Acknowledgements

We would like to thank the editor and the referees for their useful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Beykent University, Istanbul, Turkey

    Dilek Demirkuş

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  1. Dilek Demirkuş
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Correspondence to Dilek Demirkuş .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland

    Victor A. Eremeyev

  3. Mechanical Engineering Research Institute of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    Igor S. Pavlov

  4. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia

    Alexey V. Porubov

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Demirkuş, D. (2020). A Comparison Between Heterogeneous and Homogeneous Layers for Nonlinear Bright Solitary SH Waves in Terms of Heterogeneous Effect. In: Altenbach, H., Eremeyev, V., Pavlov, I., Porubov, A. (eds) Nonlinear Wave Dynamics of Materials and Structures. Advanced Structured Materials, vol 122. Springer, Cham. https://doi.org/10.1007/978-3-030-38708-2_8

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  • DOI: https://doi.org/10.1007/978-3-030-38708-2_8

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  • Online ISBN: 978-3-030-38708-2

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