AN INVARIANCE PRINCIPLE FOR DYNAMICAL SYSTEMS ON BANACH SPACE: APPLICATION TO THE GENERAL PROBLEM OF THERMOELASTIC STABILITY

Abstract

Studies conducted under this contract include: the general nonlinear thermoelastic problem, and, for materials with internal friction, asymptotic stability of the equilibrium solutions was obtained; the question as to the asymptotic stability of the equilibrium solutions of elastic materials without imposing the assumption of internal friction. This question was answered to some degree by obtaining a description of the states that the material approaches as t approaches infinity.

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Document Details

Document Type
Technical Report
Publication Date
Jun 17, 1969
Accession Number
AD0690263

Entities

People

  • Ettore Ferrari Infante
  • M. Slemrod

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Applied Mathematics
  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Constitutive Equations
  • Differential Equations
  • Elastic Materials
  • Equations
  • Equations Of State
  • Internal Friction
  • Invariance
  • Materials
  • Mathematics
  • Rhode Island
  • Thermodynamic Properties
  • Thermodynamics
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).

Technology Areas

  • Space