Accession Number:

ADA113022

Title:

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

Descriptive Note:

Technical rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1982-01-01

Pagination or Media Count:

23.0

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

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE