Interdisciplinary Research in Viscoelasticity and Rheology

Abstract

Viscoelastic materials with fading memory exhibit behavior that is intermediate between the nonlinear hyperbolic response of purely elastic solids and the strongly diffusive, parabolic response of viscous fluids. The primary objective of current research is the modeling, analysis and computation of unsteady motions of viscoelastic materials with fading memory. During the first year of funding, progress has been made in: 1) Understanding 'spurt' phenomena occurring in shearing flows of viscoelastic fluids; computational results for the unsteady equations produce qualitative and quantitative agreement with careful experimental results; 2) Understanding of weak solutions which are sufficiently broad to include shocks and acceleration waves. In (1), significant progress is being realized through insight gained from an interplay between careful numerical experiments and analysis. Keywords: Finite difference and finite element methods, systems of hyperbolic conservation laws, Equations of motion, Non newtonian fluids; Polymers, Suspensions, Emulsions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 22, 1988
Accession Number
ADA201270

Entities

People

  • Athannassios E. Tzavaras
  • David S. Malkus
  • John A. Nohel
  • Robert C. Rogers

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Cauchy Problem
  • Computational Science
  • Computations
  • Constitutive Equations
  • Differential Equations
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Fluid Flow
  • Materials
  • Mechanics
  • Partial Differential Equations
  • Shear Flow
  • Three Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Theoretical Analysis.