The Entropy Rate Admissibility Criterion in Thermoelasticity.

Abstract

The initial value problem for the dynamical equations of elasticity and thermoelasticity is not well posed in the class of smooth motions so that an existence theory in the large can be established only for thermodynamic processes with shock waves. On the other hand, in this class of processes there is no uniqueness of solutions. It is shown in the report that, by visualizing a thermoelastic material as the limit of a family of thermoviscoelastic materials of the Maxwell type, one obtains a shock admissibility criterion, the viscosity criterion.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1974
Accession Number
AD0779888

Entities

People

  • Constantine M. Dafermos

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Elastic Properties
  • Equations
  • Materials
  • Mechanical Properties
  • Physical Properties
  • Shock
  • Shock Waves
  • Thermodynamic Processes
  • Thermoelasticity
  • Viscosity
  • Waves

Fields of Study

  • Mathematics

Readers

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