On the Asymptotic Analysis of Travelling Shocks and Phase Boundaries in Elastic Bars.

Abstract

This paper is concerned with the propagation of shocks and phase boundaries in elastic bars. We consider materials for which the one-dimensional stress response is piecewise linear and not monotonic. In the presence of an applied load the dynamical fields are described by a set of functional equations. These equations are treated asymptotically for a model problem involving a load which approaches a constant value. The dynamical fields approach the solution given by a corresponding Riemann problem at a rate t to the minus n power where n < -2 is given in terms of the stress response. Originator-supplied keywords include: Phase transitions, Elastic solids, and Functional equations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1984
Accession Number
ADA147239

Entities

People

  • T. J. Pence

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Cauchy Problem
  • Classification
  • Contracts
  • Differential Equations
  • Discontinuities
  • Elastic Materials
  • Equations
  • Intervals
  • Materials
  • Mathematics
  • Phase Transformations
  • Stress Strain Relations
  • Stresses
  • Transitions
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Combustion Dynamics and Shock Wave Physics.
  • Structural Dynamics.