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 | |
| 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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Cite this
Vivar-Perez, J. M., Bravo-Castillero, J., Rodriguez-Ramos, R., & Starzewski, M. O. (2008). The effect of imperfect contact on the homogenization of a micro-periodic helix. Mathematics and Mechanics of Solids, 13(5), 431-446. https://doi.org/10.1177/1081286507077336