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Elastic Waves in Microstructured Solids

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Encyclopedia of Continuum Mechanics

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Synonyms

Deformable body ; Dispersion; Heterogeneity; Microscale; Wave motion

Definitions

  • Microstructure has no universal definition. In solids it is formed by grains, phases, interfaces, regular or irregular inclusions, etc. Microstructures appear at different length scales and often coexist at more than one length scale within the same solid. In continuum mechanics, no atomic or molecular structure of a material is considered. For waves, the main physical effect caused by microstructure is the wave dispersion.

  • Wave dispersion means that phase and group velocities of propagating waves are dependent on their frequency or wave number.

Background

In many cases the assumption of homogeneity of materials does not work. The behavior of many materials of engineering interest, such as alloys, composites, functionally graded materials, etc., is often influenced by an existing or emergent microstructure. In general, components of such a microstructure have different material properties,...

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Author information

Authors and Affiliations

  1. Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

Authors
  1. Arkadi Berezovski
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Corresponding author

Correspondence to Arkadi Berezovski .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Institute of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, EE-12618, Tallinn, Estonia

    Jüri Engelbrecht

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Berezovski, A. (2018). Elastic Waves in Microstructured Solids. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_231-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_231-1

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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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