THERMOELASTIC STABILITY OF A FINITELY DEFORMED SOLID UNDER NONCONSERVATIVE LOADS.

Abstract

The paper considers local thermoelastic stability of a finitely deformed solid with internal dissipation, under conservative and nonconservative surface tractions. In particular, stability under circulatory forces are discussed in detail. It is shown that, when nonconservative external forces are also present, the usual Pearson-Hill energy criterion for stability must be supplemented by another inequality which stems from the entropy-balance equation. The relation between this inequality, which is trivially satisfied only if the external load is conservative, and Liapanov's stability criterion is discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1969
Accession Number
AD0694490

Entities

People

  • S. Nemat-nasser

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Dissipation
  • Equations
  • Inequalities
  • Traction

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.