Wave Propagation and Vibration of Fibre Reinforced Laminates.

Abstract

This paper deals with wave propagation in a symmetric cross-ply laminated plate due to an impulsive normal line load acting on the upper surface of the plate. The fibre-reinforced composite forming each of the four layers is modelled as a transversely isotropic homogenous elastic continuum which is inextensible in the fibre direction. Transform methods are employed to obtain solutions of the equations of motion in each layer in terms of propagator matrices. These general solutions are combined through the interface conditions to yield expressions for the displacement and stress transforms corresponding to the impact problem. Inversion of these transforms involves numerical integration along each branch of the plate dispersion equation and summation over a total of 18 branches. Graphical results are presented which show the variation of displacement and stresses at the upper and lower surfaces of the plate as functions of position at various times after impact. Keywords: Stress wave propagation, Impact, Fibre composites, Laminates, Transverse isotropy.

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1987
Accession Number
ADA194144

Entities

People

  • E. R. Baylis
  • W. A. Green

Organizations

  • University of Nottingham

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Composite Materials
  • Computer Programs
  • Constitutive Equations
  • Delta Functions
  • Differential Equations
  • Equations
  • Group Velocity
  • Laminates
  • Materials
  • Mechanics
  • Numerical Integration
  • Phase Velocity
  • Stress Waves
  • Stresses
  • Two Dimensional
  • Wave Propagation
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.
  • Structural Dynamics.