We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A quasi-correspondence principle for Quasi-Linear viscoelastic solids.
- Authors
K. Rajagopal; A. Wineman
- Abstract
Abstract  In this paper we show that the correspondence principle that allows one to obtain solutions to boundary-initial value problems for Linear viscoelastic solids from solutions to that for a linearized elastic solid can be extended, in many circumstances, to the case of the Quasi-Linear viscoelastic solids introduced by Fung. We illustrate the ability to generalize the correspondence principle by considering a variety of problems including torsion, transverse loading of beams and several problems that involve a single non-zero stress component. This extension is however not possible for certain classes of problems and we present a specific example where the correspondence principle breaks down. The correspondence principle between Linear elasticity and Linear viscoelasticity also breaks down under certain conditions, however the correspondence between the solutions for Linear viscoelasticity and Quasi-Linear viscoelasticity is even more fragile in that it breaks down while the classical correspondence works, and hence we refer to the correspondence as a quasi-correspondence principle.
- Subjects
CORRESPONDENCE principle (Quantum mechanics); VISCOELASTIC materials; STRENGTH of materials; VISCOELASTICITY
- Publication
Mechanics of Time-Dependent Materials, 2008, Vol 12, Issue 1, p1
- ISSN
1385-2000
- Publication type
Article
- DOI
10.1007/s11043-008-9050-0