Chen, Y.C. and Haughton, D.M. (2003) Stability and bifurcation of inflation of elastic cylinders. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 459, pp. 137-156. (doi: 10.1098/rspa.2002.1024)
Full text not currently available from Enlighten.
Publisher's URL: http://dx.doi.org/10.1098/rspa.2002.1024
Abstract
A method of obtaining a full (two-dimensional) nonlinear stability analysis of inhomogeneous deformations of arbitrary incompressible hyperelastic materials is presented. The analysis that we develop replaces the second variation condition expressed as an integral involving two arbitrary perturbations, with an equivalent (third-order) system of ordinary differential equations. The positive-definiteness condition is thereby reduced to the simple numerical evaluation of zeros of a well-behaved function. The general theory is illustrated by applying it to the problem of the inflation of axially stretched thick-walled tubes. The bifurcation theory of such deformations is well known and we compare the bifurcation results with the new stability analysis.
| Item Type: | Articles |
|---|---|
| Keywords: | stability, bifurcation, nonlinear elasticity |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Haughton, Dr David |
| Authors: | Chen, Y.C., and Haughton, D.M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences |
| Journal Abbr.: | Proc. R. Soc. Lond. A |
| Publisher: | Royal Society of London |
| ISSN: | 1364-5021 |
| ISSN (Online): | 1471-2946 |
| Published Online: | 13 November 2002 |
| Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details