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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0740219

Entities

People

  • Chin-teh Sun
  • Jan D. Achenbach

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Composite Materials
  • Displacement
  • Elastic Properties
  • Energy
  • Equations
  • Equations Of Motion
  • Fiber Reinforced Composites
  • Kinetic Energy
  • Microstructure
  • Phase Velocity
  • Transitions
  • Transverse
  • Transverse Waves
  • Waves

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).
  • Reinforced Composite Materials