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Anti-plane Surface Waves in Materials with Surface Energy

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Encyclopedia of Continuum Mechanics

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Synonyms

Anti-plane motions localized near a boundary of a half-space; SH surface waves in solids with surface stresses

Definitions

Surface wave is a wave whose amplitude decays exponentially with the distance from surface.

By anti-plane surface wave, we mean the surface wave when anti-shear is realized.

Introduction

Surface energy and surface stresses play an important role for material behavior at the nanoscale; see, e.g., Duan et al. (2008), Wang et al. (2011), Javili et al. (2013), and Eremeyev (2016). In particular, they are responsible for size effect at the nanoscale as well as for significant changes in effective (apparent) properties of nanostructured materials. In addition, in materials with surface energy and surface stresses may even exist new phenomena which are absent within the classic continuum models. As an example of such phenomenon, one can consider propagation of anti-plane surface waves in media with surface stresses.

Following Eremeyev et al. (2016), we discuss...

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References

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Author information

Authors and Affiliations

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

    Victor A. Eremeyev

Authors
  1. Victor A. Eremeyev
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Corresponding author

Correspondence to Victor A. Eremeyev .

Editor information

Editors and Affiliations

  1. Otto-von-Guericke University Magdeburg, Chair of Engineering Mechanics, Institut, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät für Maschinenbau, Hochschule Esslingen, Esslingen am Neckar, Baden-Württemberg, Germany

    Andreas Öchsner

Section Editor information

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

    Victor A. Eremeyev

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Eremeyev, V.A. (2019). Anti-plane Surface Waves in Materials with Surface Energy. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_171-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_171-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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