ON STRESS WAVES IN VISCOELASTIC MEDIA CONDUCTING HEAT.

Abstract

The theory of propagating surfaces of discontinuity is used to study one-dimensional stress waves in viscoelastic media which conduct heat. The constitutive laws for stress and entropy are derived from the specific free energy which is taken in the form of a functional expansion to the second order in strain and to the third order in temperature change. With the aid of these laws, relations are developed between the kinematical, mechanical and thermodynamical quantities at the wave front. Explicit expressions are established for both the velocity and the change of magnitude of the stress discontinuity as it propagates through the medium. The results include the effects of viscous damping, temperature-dependent material properties and thermomechanical coupling. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0641133

Entities

People

  • G. Herrmann
  • Jan D. Achenbach
  • S. M. Vogel

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Climate Change
  • Continuum Mechanics
  • Couplings
  • Discontinuities
  • Energy
  • Free Energy
  • Materials
  • Mechanical Properties
  • Mechanics
  • Physical Properties
  • Stress Waves
  • Stresses
  • Waves

Readers

  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.