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) : Bloom,Frederick

PDF Url : ADA113022

Report Date : Jan 1982

Pagination or Media Count : 23

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)

Descriptors :   *Viscoelasticity, *Shock waves, Boundary value problems, Deformation, Gradients, Inequalities, Kernel functions

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE