dc.contributor.author | Dodwell, T | |
dc.contributor.author | Budd, C | |
dc.contributor.author | Chakhchoukh, A | |
dc.contributor.author | Kuske, R | |
dc.date.accessioned | 2016-05-04T12:46:55Z | |
dc.date.issued | 2016-05-11 | |
dc.description.abstract | We present a model of multilayer folding in which layers with bending stiffness EI are separated
by a very stiff elastic medium of elasticity k2 and subject to a horizontal load P. By using
a dynamical systems analysis of the resulting fourth order equation, we show that as the end
shortening per unit length E is increased, then if k2 is large there is a smooth transition from
small amplitude sinusoidal solutions at moderate values of P to larger amplitude chevron folds,
with straight limbs separated by regions of high curvature when P is large. The chevron solutions
take the form of near heteroclinic connections in the phase-plane. By means of this analysis,
values for P and the slope of the limbs are calculated in terms of E and k2. | en_GB |
dc.description.sponsorship | We would like to acknowledge the support of the FP7 Marie-Curie
ITN FIRST, the Pacific Institute for Mathematics Sciences (PIMS) and the NSERC Discovery
Grant for the funding of the research described in this paper | en_GB |
dc.identifier.citation | Vol. 330, pp. 32-46 | en_GB |
dc.identifier.doi | 10.1016/j.physd.2016.05.001 | |
dc.identifier.uri | http://hdl.handle.net/10871/21374 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights.embargoreason | Under embargo until 11 May 2017 in compliance with publisher policy | en_GB |
dc.subject | Chevron folding | en_GB |
dc.subject | fourth order equation | en_GB |
dc.subject | bifurcation | en_GB |
dc.subject | heteroclinic connection | en_GB |
dc.title | Chevron folding patterns and heteroclinic orbits | en_GB |
dc.type | Article | en_GB |
dc.identifier.issn | 0167-2789 | |
dc.description | This is the author accepted manuscript. The final version is available from the publisher via the DOI in this record. | |
dc.identifier.journal | Physica D: Nonlinear Phenomena | en_GB |
dcterms.dateAccepted | 2016-05-02 | |
rioxxterms.version | AM | |
refterms.dateFCD | 2019-04-02T15:03:12Z | |
refterms.versionFCD | 2016-05-04 | |
refterms.versionFCD | AM | |