A Riemann Problem for an Elastic Bar That Changes Phase

Abstract

This paper is concerned with the dynamics of an elastic bar that can undergo reversible stress-induced phase transformations. We consider a Riemann problem in which the initial strains belong to a single metastable phase and prove uniqueness of solution that satisfy a nucleation criterion and a kinetic law at all subsonic and sonic phase boundaries. This paper generalizes the results of (3); the authors of (3) considered a piecewise linear material for which no wave fans exist, shock waves always travel at the acoustic speed and shock waves are dissipation-free. The material model of the present paper does not suffer from these degeneracies.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1992
Accession Number
ADA262827

Entities

People

  • Yier Lin

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Classification
  • Dissipation
  • Elastic Materials
  • Energy
  • Equations
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Nucleation
  • Phase Transformations
  • Security
  • Shock
  • Shock Waves
  • Stress Strain Relations

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.