DIRECTORS AND MULTIPOLAR DISPLACEMENTS IN CONTINUUM MECHANICS,

Abstract

A general theory of multipolar continuum mechanics has been developed by Green and Rivlin (1964b) based on multipolar displacements. A new definition of multipolar displacements is given here and the place of directors in this theory is identified. The dynamical theory of displacements, directors and dipolar displacements corresponding to the present definitions is outlined and this contains Ericksen's (1961) theory of liquid crystals as a special case. Explicit constitutive equations are obtained for an elastic continuum under the action of ordinary displacements and directors. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0602972

Entities

People

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

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Continuum Mechanics
  • Contracts
  • Cooperation
  • Crystals
  • Displacement
  • Equations
  • Liquid Crystals
  • Mechanics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.