Rogers, C., Saccomandi, G. and Vergori, L. (2015) Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions. Wave Motion, 56, pp. 147-164. (doi: 10.1016/j.wavemoti.2015.02.009)
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Abstract
Classes of deformations in nonlinear elastodynamics with origin in pioneering work of Carroll are investigated for an isotropic elastic solid subject to body forces corresponding to a nonlinear substrate potential. Exact solutions are obtained which, inter alia, are descriptive of the propagation of compact waves and motions with oscillatory spatial dependence. It is shown that a description of slowly modulated waves leads to a novel class of generalized nonlinear Schrödinger equations. The latter class, in general, is not integrable. However, a procedure is presented whereby integrable Hamiltonian subsystems may be isolated for a broad class of deformations.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vergori, Dr Luigi |
| Authors: | Rogers, C., Saccomandi, G., and Vergori, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Wave Motion |
| Publisher: | Elsevier B.V. |
| ISSN: | 0165-2125 |
| ISSN (Online): | 0165-2125 |
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