ON LINEAR VISCOELASTIC RODS

Abstract

The paper is based on the general thermodynamical theory of a Cosserat continuum developed by Green and Laws. Specific constitutive equations are given for a linear viscoelastic material. When the form of the free energy is restricted by certain symmetry conditions, the basic equations separate into four groups, two for flexure, one for torsion, and one for extension of the rod. Thermal effects occur only in the last group. Flexural and torsional wave propagation along an infinite rod are considered.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0686390

Entities

People

  • W. J. Shack

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • California
  • Constitutive Equations
  • Energy
  • Equations
  • Equations Of Motion
  • Free Energy
  • Frequency
  • Heat Energy
  • Heat Flux
  • Kernel Functions
  • Mechanics
  • Security
  • Symmetry
  • Temperature Gradients
  • Thermodynamics
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.