ON OBTAINING SOLUTIONS IN NONLINEAR VISCOELASTICITY.

Abstract

A derivation is given of a particular form of the isothermal nonlinear stress constitutive relation for materials with fading memory. This particular derivation results in a form for the constitutive relations that is well suited for application in solving boundary-value problems. The resulting forms are applied to obtain the exact solution for the torsion of a right circular isotropic viscoelastic cylinder. Several effects due to the nonlinearity of the problem are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0651183

Entities

People

  • R. M. Christensen

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Elastic Properties
  • Equations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanical Properties
  • Viscoelasticity

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.