Lie-Theory for a One-Dimensional Laminated Composite and the Problem of Homogenization.

Abstract

The paper deals with the development of a continuum theory for time-harmonic longitudinal waves propagating in a one-dimensional laminated composite with periodic structure. The development is based on the method of Lie-series and a hierarchy of improved approximate theories are obtained for wavelengths longer than the typical dimensions of the composite microstructure. Effective material properties are also defined and the dispersion spectrum compared with the exact theory, over one Brillouin zone. It is also shown how the effective properties of the laminated, periodic composite can also be obtained by homogenization via a multiple scale expansion. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA067428

Entities

People

  • G. A. Becus
  • P. A. Dashner
  • R. K. Kaul

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundary Value Problems
  • Brillouin Zones
  • Composite Materials
  • Crystal Structure
  • Differential Equations
  • Engineering
  • Equations
  • Frequency
  • Long Wavelengths
  • Materials
  • Mechanics
  • New York
  • Partial Differential Equations
  • Phase Velocity
  • Power Series
  • Wave Equations

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Reinforced Composite Materials