A New Model for the Dynamic Behavior of Elastomeric Materials.

Abstract

A mathematical model describing the dynamic behavior of rubber or elastomeric materials was developed. It is based on Flory's concept of the rotational isomeric state model of polymer chains. With a unit step strain applied to the material, each polymer chain is assumed to go from an unrelaxed initial configuration to a fully relaxed equilibrium state at a rate described by a non-linear first-order differential equation. The differential equation is derived by assuming that the relaxation rate is proportional to a probability function, namely, the probability that the elastic and thermal energy present in the chain is greater than or equal to a critical value. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0739857

Entities

People

  • D. R. Hicks
  • J. L. Edwards

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Models
  • Mathematics
  • Models
  • Probability

Fields of Study

  • Mathematics

Readers

  • Molecular Photonics/Laser Physics
  • Polymer Science and Technology
  • Structural Dynamics.