Methodologies for nonlinear periodic media

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We discuss analytical methodologies for analyzing waves in weakly or strongly nonlinear periodic media. These include techniques for studying standing and traveling waves in weakly nonlinear periodic media; methodologies for analyzing primary wave transmission in layered elastic media with strong nonlinearities; and new concepts and methods for traveling waves, solitary waves and pulse attenuation in strongly nonlinear homogeneous and heterogeneous granular media with no pre-compression. The field of nonlinear periodic media is a promising area of research with potential of diverse applications in science and engineering.

Original languageEnglish (US)
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages257-326
Number of pages70
DOIs
StatePublished - Jan 1 2012

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume540
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

Keywords

  • Granular Chain
  • Granular Medium
  • Granular System
  • Nonlinear Normal Mode
  • Solitary Wave

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

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  • Cite this

    Vakakis, A. F. (2012). Methodologies for nonlinear periodic media. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 257-326). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 540). Springer International Publishing. https://doi.org/10.1007/978-3-7091-1309-7_5