The effect of imperfect contact on the homogenization of a micro-periodic helix

J. M. Vivar-Perez, J. Bravo-Castillero, R. Rodriguez-Ramos, Martin Ostoja Starzewski

Research output: Contribution to journalArticle

Abstract

Under study are the equations governing the elastodynamics of a micro-periodic helix, i.e. a helix made of a sequence of unit cells, each containing a thin imperfect interphase embedded within a finite number of other phases. An averaged equation of motion, along with its effective constitutive coefficients, is determined via an asymptotic homogenization method. The results are valid in the case of wavelengths much longer than the length of the unit cell. Formulae for shorter wavelengths can be derived by admitting higher order terms in the expansion.

Original languageEnglish (US)
Pages (from-to)431-446
Number of pages16
JournalMathematics and Mechanics of Solids
Volume13
Issue number5
DOIs
StatePublished - Jul 1 2008

Keywords

  • Elastodynamics
  • Helix
  • Homogenization
  • Imperfect interface
  • Periodic structure

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Applied Mathematics

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