On Wave Propagation in Linear Viscoelasticity.
Abstract
This document discusses the initial value problem in one-dimensional linear visco-elasticity with a step-jump in the initial data. If the memory kernel is sufficiently smooth on (infinity), the solution exhibits discontinuities propagating along characteristics and a (higher order) stationary discontinuity at the position of the original step-jump. For a singular memory kernel, the propagating waves are smoothed in a manner depending on the nature of the singularity in the kernel, but the stationary discontinuity remains. Also discussed are the effects of these phenomena on the regularity of solutions with arbitrary initial data.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1984
- Accession Number
- ADA144739
Entities
People
- Michael Renardy
- W. J. Hrusa
Organizations
- University of Wisconsin–Madison