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

doi:10.1177/1081286507077336

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 journal › Article › peer-review

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 language	English (US)
Pages (from-to)	431-446
Number of pages	16
Journal	Mathematics and Mechanics of Solids
Volume	13
Issue number	5
DOIs	https://doi.org/10.1177/1081286507077336
State	Published - 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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AU - Rodriguez-Ramos, R.

AU - Starzewski, Martin Ostoja

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KW - Periodic structure

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