Single Integral Constitutive Equations for Viscoelastic Fluids.

Abstract

It is demonstrated how the kernel functions of single integral constitutive equations may be determined from analysis of experiments in time dependent shear-free flows alone. It is assumed that the kernel functions may be factored into a product of a linear viscoelastic function and a finite-strain dependent function. No assumption is needed on the strain-dependent function except that it must be continuous within the attainable invariant space. The experimental data for ever-increasing deformations are not compatible with the assumptions inherent in single integral constitutive equations with factorized kernel functions.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA149410

Entities

People

  • O. Hassager
  • P. Bach

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Constitutive Equations
  • Equations
  • Experimental Data
  • Flow
  • Formulas (Mathematics)
  • Integral Equations
  • Integrals
  • Kernel Functions
  • Materials
  • Mathematics
  • Measurement
  • Natural Rubber
  • Particles
  • Polymers
  • Standards
  • United States

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.

Technology Areas

  • Space