A Note on Simple Dipolar Stresses

Abstract

In the theory of simple force and stress dipoles (within the framework of the simple multipolar theory of Green and Rivlin) the anti-symmetric part of dipolar stresses make no contribution to the equations of motion or to the energy equation and are not determined by a free energy function. Here, the significance of these stresses (in a complete theory) is further discussed with reference to a simple example of torsion of a circular cylinder of an elastic material.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0666104

Entities

People

  • Alex E.S. Green
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • California
  • Classification
  • Contracts
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Energy
  • Equations
  • Equations Of Motion
  • Free Energy
  • Governments
  • Integrals
  • Materials
  • Mechanics
  • Military Research
  • Surface Properties

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.