On the Buckling of Linear Viscoelastic Rods.

Abstract

In this note, we consider the linearized equation for the buckling of a viscoelastic rod from an undeformed virgin state. We show that this equation does not exhibit buckled solutions for axial end thrusts which - after application - are held constant. Though this result is apparently known, there appears to be no proof available in the literature. We show further that if the load is allowed to vary with time, then, in contrast to elastica theory, there is an uncountably infinite number of buckled solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1981
Accession Number
ADA100565

Entities

People

  • David W. Reynolds
  • Morton E. Gurtin
  • Victor J. Mizel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bending Moments
  • Boundary Value Problems
  • Contracts
  • Contrast
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Integral Equations
  • Materials
  • Mathematics
  • Military Research
  • North Carolina
  • United States
  • Universities
  • Viscoelasticity
  • Volterra Equations
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Structural Dynamics.