Global Nonexistence of Classical Solutions in One-Dimensional Nonlinear Viscoelasticity.

Abstract

Results are presented which show that smooth global solutions of the one-dimensional nonlinear viscoelasticity initial-boundary value problem cannot exist in the smoothness. The physical implication is that in the deformation of a nonlinear viscoelastic bar a shock will develop if the initial displacement is sufficienty small but has a sufficiently large gradient. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA113022

Entities

People

  • Frederick Bloom

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Boundary Value Problems
  • Continuum Mechanics
  • Electrical Solitons
  • Equations
  • Inequalities
  • Information Science
  • Mathematics
  • Mechanics
  • Scientific Research
  • Shock Waves
  • South Carolina
  • Statistics
  • Time Intervals
  • Universities
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

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