Haughton, D.M. (2008) Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – II. Sixth order systems. Journal of Computational Physics, 227(20), pp. 8960-8967.
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Publisher's URL: http://dx.doi.org/10.1016/j.jcp.2008.07.003
Abstract
We show how the compound matrix method can be extended to give eigenfunctions as well as eigenvalues to bifurcation problems in non-linear elasticity. The non-trivial boundary conditions create some difficulties and we find that sixth order systems for elasticity problems will require a shooting method for two functions of two unknown parameters over and above the calculations required for comparable problems in fluids.
| Item Type: | Articles |
|---|---|
| Keywords: | Compound matrices, Eigenfunctions, Stability, Bifurcation, Non-linear elasticity |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Haughton, Dr David |
| Authors: | Haughton, D.M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Computational Physics |
| Journal Abbr.: | J. Comput. Phys. |
| ISSN: | 0021-9991 |
| ISSN (Online): | 1090-2716 |
| Published Online: | 16 July 2008 |
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