A NEW FUNCTION FOR DIPOLE ORIENTATION AND RUBBER ELASTICITY.

Abstract

A new function for dipole orientation is derived to describe a collection of fixed, randomly oriented molecules with a dipole moment, achievable by an intramolecular motion such as inversion. This model should be applicable to tertiary amines in the glassy state or imbedded in a glassy matrix. The new function, called the Y function, is similar to the Langevin function at low fields. However at very high fields, the Y function predicts an average dipole moment rather than the value obtained from the Langevin function. The Y function has also been applied to obtain a new equation of state for rubber elasticity at high strains, in the same manner that had previously been achieved starting with the Langevin function (freely-rotating model). This new equation of state for rubber elasticity is superior to that based on the Langevin equation in that it predicts a finite rather than an infinite strain energy. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0682206

Entities

People

  • Arthur V. Tobolsky
  • Zoltan G. Soos

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Dipole Moments
  • Elastic Properties
  • Equations
  • Inversion
  • Molecules
  • Orientation (Direction)

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Polymer Science and Engineering.