Wave Propagation in Linear, Bilinear and Trilinear Elastic Bars

Abstract

This paper is concerned with the role of supplementary conditions such as the entropy inequality at shock waves or kinetic relations at phase boundaries in the selection of physically appropriate solutions to systems of quasi-linear differential equations describing wave propagation. The differences in this respect among various materials are illustrated by contrasting the behavior of waves in linear, bilinear and trilinear bars.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1991
Accession Number
ADA236199

Entities

People

  • James K. Knowles
  • Rohan Abeyaratne

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Boundaries
  • Cauchy Problem
  • Classification
  • Differential Equations
  • Elastic Waves
  • Equations
  • Inequalities
  • Materials
  • Mechanical Engineering
  • Mechanics
  • Phase Transformations
  • Shock Waves
  • Sound Waves
  • Stress Strain Relations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Wave Propagation and Nonlinear Chaotic Dynamics.