| Автор | Damil, N. |
| Автор | Potier-Ferry, M. |
| Дата выпуска | 1992 |
| dc.description | We present a general theory for any cellular instability problem where the initial symmetries can be broken. We establish that the post-bifurcation behaviour is always governed by amplitude equations of the Ginzburg-Landau type. Moreover, the coefficients of these equations are obtained in closed form which allows their analytical or numerical computation. Distributed and localized perturbations are accounted |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Amplitude equations for cellular instabilities |
| Тип | research-article |
| DOI | 10.1080/02681119208806124 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 7 |
| Первая страница | 1 |
| Последняя страница | 34 |
| Аффилиация | Damil, N.; Université Hassan, II Facultè des Sciences II, |
| Аффилиация | Potier-Ferry, M.; Laboratoire de Physique et Mècanique des Matèriaux, Institut Superieur de Gèenie Mècanique et Productique |
| Выпуск | 1 |
| Библиографическая ссылка | Abdelmoula, R., Damil, N. and Potier-Ferry, M. 1992. Influence of distributed and localized imperfections in the buckling of cylindrical shells and external pressure. International Journal of Solids and Structures, 29: 1–25. |
| Библиографическая ссылка | Amazigo, J. C., Budiansky, B. and Carrier, G. F. 1970. Asymptotic analysis of the buckling of imperfect columns on nonlinear elastic foundations. . International Journal of Solids and Structures, 6: 1341–1356. |
| Библиографическая ссылка | Amazigo, J. C. and Fraser, W. B. 1971. Buckling under external pressure of cylindrical shells with dimple shaped initial imperfections. International Journal of Solids and Structures, 7: 883–900. |
| Библиографическая ссылка | Arbocz, J. 1987. Buckling and Post-Buckling, Lecture Notes in Physics, Berlin: Springer. |
| Библиографическая ссылка | Brush, D. O. and Almroth, B. O. 1975. Buckling of Bars, Plates and Shells, New York: McGraw-Hill. |
| Библиографическая ссылка | Budiansky, B. 1974. Theory of buckhng and postbuckling behaviour of elastic structures. Advances in Applied Mechanics, 14: 1–65. |
| Библиографическая ссылка | Chandrasekhar, S. 1981. Hydrodynamic and Hydromagnetic Stability, New York: Dover. |
| Библиографическая ссылка | Shui-nee, Chow, Hale, Jack K. and Mallet-Paret, John:. 1976. Applications of generic bifurcation. Archive for ational Mechanics and Analysis, 62: 209–235. |
| Библиографическая ссылка | Coullet, P. and Repaux, D. 1987. “Models of pattern formation from a singularity theory point of view”. In Instabilities and Nonequilibrium Structures, Edited by: Tirapegui, E. and Villarroel, D. Dordrecht: Reidel. |
| Библиографическая ссылка | Cross, M.C., Daniels, P. G., Hohenberg, P. C. and Siggia, E. D. 1983. Phase-winding solutions in finite containers above the convective hreshold. Journal of Fluid Mechanics, 127: 155–183. |
| Библиографическая ссылка | Damil, N. and Potier-Ferry, M. 1986. Wavelength selection in the postbuckling of long rectangular plates. International Journal of Solids and Structures, 22: 511–526. |
| Библиографическая ссылка | Damil, N. and Potier-Ferry, M. 1990. A new method to compute perturbed bifurcations: Application to the buckling of imperfect lastic structures. International Journal of Engineering Science, 28: 943–957. |
| Библиографическая ссылка | Dautray, R. and Lions, J. L. 1987. Analyse Mathematique et Calcul Numerique, Paris: Masson. |
| Библиографическая ссылка | looss, G., Mielke, A. and Demay, Y. 1989. Theory of steady Ginzburg-Landau equations in hydrodynamic stability problems. European Journal of Mechanics B Fluids, 8: 229–268. |
| Библиографическая ссылка | Kato, T. 1966. Perturbation Theory for Linear Operators, Berlin: Springer. |
| Библиографическая ссылка | Keener, J. P. and Keller, H. B. 1973. Perturbed bifurcation theory. Archive for Rational Mechanics and Analysis, 50: 159–175. |
| Библиографическая ссылка | Kirchgassner, K. 1982. Wave solutions of reversible systems and applications. Journal of Differential Equations, 45: 113–127. |
| Библиографическая ссылка | Koiter, W. T. 1966. On the stabilty of elastic equihbrium. Thesis, Delft. NASA Technical Translation, FIO: 833 |
| Библиографическая ссылка | Kramer, L. and Hohenberg, P. C. 1984. “Effect of boundary conditions on wavenumber selection in spatially varying steady states”. In Cellular Structures in Instability Problems, Edited by: Wesfreid, J. E. and Zaleski, S. 63–74. Berlin: Springer. Lecture Notes in Physics |
| Библиографическая ссылка | Lange, C. G. and Newell, A. C. 1971. The postbuckling problem for thin elastic shells. SIAM Journal on Applied Mathematics, 21: 605–629. |
| Библиографическая ссылка | Laure, P. and Demay, Y. 1988. Symbolic computation and equation on the center manifold: Application to the Taylor-Couette problem. Computers and Fluids, 16: 229–238. |
| Библиографическая ссылка | Newell, A. C. and Whitehead, J.A. 1969. Finite band width, finite amplitude convection. Journal of Fluid Mechanics, 38: 279–303. |
| Библиографическая ссылка | Potier-Ferry, M. 1979. Perturbed bifurcation theory. Journal of Differential Equations, 33: 112–146. |
| Библиографическая ссылка | Potier-Ferry, M. 1983. “Amplitude modulation, phase modulation and localization of buckling patterns”. In Collapse, Edited by: Thompson, J. M. T. and Hunt, G. . 149–159. Cambridge: University Press. |
| Библиографическая ссылка | Potier-Ferry, M. 1984. “Wavelength selection and pattern localization in buckling problems”. In Cellular Structures in Instability Problems, Edited by: Wesfreid, J. E. and Zaleski, S. 43–55. Berlin: Springer. Lecture Notes in Physics |
| Библиографическая ссылка | Potier-Ferry, M. 1987. Arbocz, : 1–82. 1987 |
| Библиографическая ссылка | Segel, L. 1969. Distant sidewalls cause slow amplitude modulation of cellular convection. Journal of Fluid Mechanics, 38: 203–224. |
| Библиографическая ссылка | Thompson, J. M. T. and Hunt, G.W. 1973. A General Theory for Elastic Stability, New York: Wiley. |
| Библиографическая ссылка | Wxsfreid, J. E. and Zaleski, S. 1984. Cellular Structures in Instability Problems, Berlin: Springer. Lecture Notes in Physics |
