WAVE PROPAGATION IN THE LINEAR THEORY OF VISCOELASTICITY.

Abstract

It was shown in AD-436 823 that, in the linear theory of viscoelasticity, the speed of propagation of an acceleration wave is a solution of a particular eigenvalue problem. It is demonstrated that this eigenvalue problem governs, not only the speed of propagation of acceleration waves, but also the propagation speeds of shocks and all higher order waves. Solutions which contain discontinuities of arbitrary order N are easily exhibited.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0604661

Entities

People

  • George M. C. Fisher
  • Morton E. Gurtin

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Discontinuities
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Viscoelasticity
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.