Dispersion of free harmonic waves in fiber- reinforced composites

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57 Scopus citations

Abstract

A set of displacement equations of motion is proposed that is suitable for the dynamic analysis of fiber-reinforced composites. In deriving the equations, representative elastic moduli are used for the binder, and the elastic and geometric properties of the fibers are combined into effective stiffnesses. With the aid of certain assumptions regarding the deformation of the fibers, and by employing a smoothing operation, approximate kinetic and strain energy densities for the fiber-reinforced composite are obtained. Application of Hamilton's principle yields the displacement equations of motion. The proposed set of equations is employed to study the propagation of plane harmonic waves propagating in the direction of the fibers and normal to the fiber direction. Plane transverse waves propagating in the direction of the fibers are dispersive, and dispersion curves are shown.

Original languageEnglish (US)
Pages (from-to)1832-1836
Number of pages5
JournalAIAA journal
Volume6
Issue number10
DOIs
StatePublished - Jan 1 1968

ASJC Scopus subject areas

  • Aerospace Engineering

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