| Автор | Scott, N., H. |
| Автор | Hayes, M. |
| Дата выпуска | 1997 |
| dc.description | It is known that all transverse plane acceleration waves that propagate through a homogeneously deformed Mooney Rivlin material do so without a change in amplitude. Here it is shown that the MooneyRivlin material is the only incompressible isotropic hyperelastic material that permits transverse plane acceleration waves to propagate in any direction without a change in amplitude, regardless of the homogeneous prestrain. |
| Издатель | Sage Publications |
| Название | Constant Amplitude Acceleration Waves in a Prestrained Incompressible Isotropic Elastic Solid |
| Тип | Journal Article |
| DOI | 10.1177/108128659700200303 |
| Print ISSN | 1081-2865 |
| Журнал | Mathematics and Mechanics of Solids |
| Том | 2 |
| Первая страница | 291 |
| Последняя страница | 295 |
| Аффилиация | Scott, N., H., School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom |
| Аффилиация | Hayes, M., Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland |
| Выпуск | 3 |
| Библиографическая ссылка | [1] Currie, P. and Hayes, M.: Longitudinal and transverse waves in finite elastic strain: Hadamard and Green materials. Journal of the Institute of Mathematics and its Applications, 5, 140-161 (1969). |
| Библиографическая ссылка | [2] Boulanger, P. and Hayes, M.: Finiteamplitude waves in deformed Mooney Rivlin materials. Quarterly Journal of Mechanics and Applied Mathematics, 45,575-593 (1992). |
| Библиографическая ссылка | [3] Boulanger, P. and Hayes, M.: Further properties of finiteamplitude plane waves in deformed Mooney-Rivlin materials. Quarterly Journal of Mechanics and Applied Mathematics, 48, 427-464 (1995). |
| Библиографическая ссылка | [4] Truesdell, C.: General and exact theory of waves in finite elastic strain. Archivefor Rational Mechanics and Analysis, 8, 263-296 (1961). |
| Библиографическая ссылка | [5] Ogden, R. W.: Growth and decay of acceleration waves in incompressible elastic solids. Quarterly Journal of Mechanics and Applied Mathematics, 27, 451-464 (1974). |
| Библиографическая ссылка | [6] Scott, N. H.: Acceleration waves in incompressible elastic solids. Quarterly Journal of Mechanics and Applied Mathematics, 29, 295-310 (1976). |
| Библиографическая ссылка | [7] Scott, N. H.: Acceleration waves in constrained elastic materials. Archive for Rational Mechanics and Analysis, 58, 57-75 (1975). |
