On the Existence of an Elastic Potential for a Simple Material Without Memory.

Abstract

It is shown that a compressible elastic body - not necessarily homogeneous or isotropic - is hyperelastic provided the work done by all external forces acting on an arbitrary part of the body vanishes for every sufficiently smooth cyclic motion, in which each material point returns to its initial position with a velocity equal to its initial velocity. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA050582

Entities

People

  • Eli Sternberg
  • J. K. Knowles

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • California
  • Cartesian Coordinates
  • Continuum Mechanics
  • Elastic Materials
  • Energy
  • Engineering
  • Hyperelastic Materials
  • Identities
  • Integrals
  • Kinetic Energy
  • Materials
  • Mechanical Properties
  • Mechanics
  • Metal Matrix Composites
  • Military Research
  • Stratified Fluids
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Mathematical Modeling and Probability Theory.
  • Mechanical Engineering/Mechanics of Materials.