Haughton, D.M. (2008) Evaluation of eigenfunctions from compound matrix variables in non-linear elasticity – I. Fourth order systems. Journal of Computational Physics, 227(9), pp. 4478-4485.
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Publisher's URL: http://dx.doi.org/10.1016/j.jcp.2008.01.003
Abstract
We show how the compound matrix method can be used to produce eigenfunctions as well as eigenvalues for bifurcation problems in non-linear elasticity. For typical problems in elasticity the boundary conditions require a different treatment to that required for typical problems in fluid mechanics. For elasticity problems we have to use an additional shooting method to ensure that the boundary conditions are satisfied.
| Item Type: | Articles |
|---|---|
| Keywords: | Compound matrices, Eigenfunctions, Stability, Bifurcation, Non-linear elasticity, 73C, 73G, 73H |
| 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: | 15 January 2008 |
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