A THEORY OF ELASTICITY WITH MICROSTRUCTURE FOR FIBER-REINFORCED COMPOSITES

A theory of elasticity with microstructure is developed to describe the mechanical behavior of fiber-reinforced composites. The theory is based on expansions of the displacements across representative cells. The transition from the actually inhomogeneous composite to a homogeneous continuum is achieved by introducing continuous fields for gross displacements and local deformations. Subsequent to the derivation of strain energy and kinetic energy densities a system of displacement equations of motion is obtained by means of Hamilton's principle. The governing equations are employed to examine the propagation of transverse waves propagating in the direction of the fibers. Curves are shown which relate the phase velocity and the wavenumber.

• Corporate Authors:

  Northwestern University, Evanston

  Structural Mechanics Laboratory
  Evanston, IL  United States  60201
• Authors:
  • Achenbach, J D
  • SUN, C T
• Publication Date: 1972-1

Media Info

• Features: Figures; References;
• Pagination: 28 p.
• Serial:
  • Issue Number: 72-1

Subject/Index Terms

• TRT Terms: Composite materials; Elasticity (Mechanics); Fiber reinforced materials; Vibration
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00035647
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: NR064-483 Res Rpt
• Contract Numbers: N001467-A-03560014
• Files: TRIS
• Created Date: Oct 13 1973 12:00AM