Physical and Morphological Properties of Polymers.

Abstract

Often overlooked is the copious interpenetration of the chains comprising typical elastomeric networks. Theories that attempt to represent such networks on a lattice are incompatible with this universal feature. Moreover, the dense interpenetration of chains may limit the ability of junctions in real networks to accommodate the fluctuations envisaged in the theory of phantom networks. It was suggested in 1975 that departures from the form predicted for the elastic equation of state are due to constraints on the fluctuations of junctions whose effect diminishes with deformation and with dilation. Formulation of a self-consistent theory based on this suggestion required recognition of the non-affine connection between the chain vector distribution function and the macroscopic strain in a real network, which may partake of characteristics of a phantom network in some degree. Implementation of the idea was achieved through postulation of domains of constraint affecting the equilibrium distribution of fluctuations of network junction from their mean positions. This led in due course to a theory that accounts for the relationship of stress to strain virtually throughout the ranges of strain accessible to measurement. The theory established connections between structure and elastic properties. This is achieved with utmost frugality in arbitrary parameters.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1985
Accession Number
ADA177165

Entities

People

  • Paul J. Flory

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Distribution Functions
  • Elastic Properties
  • Equations
  • Mathematics
  • Measurement
  • Recognition

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Polymer Science and Technology
  • Theoretical Analysis.