Accession Number : AD0740219

Title :   A Theory of Elasticity with Microstructure for Fiber-Reinforced Composites.

Descriptive Note : Research rept.,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL STRUCTURAL MECHANICS LAB

Personal Author(s) : Achenbach,Jan D. ; Sun,Chin-Teh

Report Date : JAN 1972

Pagination or Media Count : 29

Abstract : 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. (Author-PL)

Descriptors :   (*COMPOSITE MATERIALS, MECHANICAL PROPERTIES), REINFORCING MATERIALS, ELASTIC PROPERTIES, DEFORMATION, EQUATIONS OF MOTION, STRAIN(MECHANICS), KINETIC ENERGY

Subject Categories : Laminates and Composite Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE