@inproceedings{6e47130cb4434167a2773dc2d59f0814,
title = "Interplay between symmetry and anti-symmetry in the evolution of localized buckle patterns",
abstract = "A model of geological folding comprising a thin elastic beam supported by a nonlinear viscoelastic (Kelvin-Voigt) material is subjected to a slow rate of applied end-shortening. The description reduces to the nonlinear Swift-Hohenberg partial differential equation (PDE), supplemented by a constraint condition. A modified one degree-of-freedom Galerkin description is introduced, built by adopting the evolving modeshapes of the corresponding statical equilibria at the same state of compression. An evolutionary energy landscape is described, formed by plotting total potential energy against the single degree of freedom and the end-shortening. Comparisons of the reduced system with numerical solutions of the full PDE are found to be in good qualitative agreement for slow rates of applied end-shortening.",
author = "Paesold, {M. K.} and Dodwell, {T. J.} and Hunt, {G. W.}",
year = "2017",
month = apr,
day = "22",
doi = "10.1007/978-3-319-56397-8_65",
language = "English",
isbn = "9783319563961",
series = "Springer Series in Geomechanics and Geoengineering",
publisher = "Springer",
pages = "517--527",
editor = "E. Papamichos and P. Papanastasiou and E. Pasternak and A. Dyskin",
booktitle = "Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017",
note = "11th International Workshop on Bifurcation and Degradation in Geomaterials, 2017 ; Conference date: 21-05-2017 Through 25-05-2017",
}