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Localization and dynamic defects in lattice structures

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Computational and Experimental Mechanics of Advanced Materials

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 514))

Abstract

This review paper outlines several formulations for lattice structures where dynamic lattice Green’s functions play an important role in analysis of localization near defects as well as fracture in structured media. The mechanism of dissipation discussed here is natural for lattices modelling structured media. The properties of waves generated by cracks, and the exponentially localized vibration modes near small defects are linked to spectral properties of Bloch-Floquet waves in undamaged periodic media. The results outlined in this review paper are based on the work by (2002), (2007), (2007), (2008).

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Physics, University of Aberystwyth, UK

    G. S. Mishuris

  2. Department of Mathematical Sciences, University of Liverpool, UK

    A. B. Movchan

  3. School of Mechanical Engineering, Tel Aviv University, Israel

    L. I. Slepyan

Authors
  1. G. S. Mishuris
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  2. A. B. Movchan
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  3. L. I. Slepyan
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Editor information

Editors and Affiliations

  1. Loughborough University, Loughborough, Leicestershire, Great Britain

    Vadim V. Silberschmidt

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Mishuris, G.S., Movchan, A.B., Slepyan, L.I. (2010). Localization and dynamic defects in lattice structures. In: Silberschmidt, V.V. (eds) Computational and Experimental Mechanics of Advanced Materials. CISM International Centre for Mechanical Sciences, vol 514. Springer, Vienna. https://doi.org/10.1007/978-3-211-99685-0_2

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  • DOI: https://doi.org/10.1007/978-3-211-99685-0_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-99684-3

  • Online ISBN: 978-3-211-99685-0

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