De Pascalis, Riccardo and Abrahams, I. David and Parnell, William J. (2014) On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model. submitted to Proceedings of the Royal Society A. (Submitted)
![[thumbnail of ArxivQLV.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
ArxivQLV.pdf Download (362kB) |
Abstract
This article offers a reappraisal of Fung's method for quasilinear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it has been applied. The approach outlined herein is shown to yield improved behaviour, and offers a straightforward scheme for solving a wide range of models. Results from the new model are contrasted with those in the literature for the case of uniaxial elongation of a bar: for an imposed stretch of an incompressible bar, and for an imposed load. In the last case, a numerical solution to a Volterra integral equation is required to obtain the results. This is achieved by a high order discretisation scheme. Finally, the stretch of a compressible viscoelastic bar is determined for two distinct materials: Horgan-Murphy and Gent.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | viscoelastic, quasilinear, Fung, Pipkin-Roger, Horgan-Murphy, Gent, hyperelastic, biological soft tissue, elastomer, strain energy function |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids |
| Depositing User: | Dr. Riccardo De Pascalis |
| Date Deposited: | 08 Jan 2014 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2088 |
Actions (login required)
 |
View Item |