Localization and dynamic defects in lattice structures

G. S. Mishuris, A. B. Movchan, L. I. Slepyan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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).

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Number of pages32
StatePublished - 2010

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706


  • Dynamic Defect
  • Lattice Structure
  • Localize Vibration Mode
  • Structure Medium


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