On K-BKZ and Other Viscoelastic Models as Continuum Generalization of the Classical Spring-Dashpot Models.

Abstract

An alternate constitutive formulation for visco-elastic materials, with particular emphasis on macromolecular viscoelastic fluids, is presented by generalizing Maxwell's idealized separation of elastic and relaxation mechanisms. The notion of relative rate of change of elastic stress is identified, abstracted, and formulated with the help of the established theory of finitely elastic isotropic materials. This gives a local rate type constitutive relation for an elastic mechanism in a simple material. For the simplest class of viscoelastic polymer melts, the notion of rate of change of elastic stress and its damped accumulation is identified and formulated. Under conditions of moderate strain rates, this scheme implies the reliable K-BKZ model for a class of polymer melts. An obvious extension generalizes he remaining classical spring-dashpot models.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1985
Accession Number
ADA163703

Entities

People

  • Amitabh Narain

Organizations

  • University of Wisconsin–Madison

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  • Energy and Power Technologies
  • Engineered Resilient Systems

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  • Continuum Mechanics
  • Dielectric Polymers
  • Elastic Properties
  • Engineering
  • Fluid Mechanics
  • Integrals
  • Low Density
  • Macromolecules
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Strain Rate
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