Chevron folding patterns and heteroclinic orbits
Dodwell, T; Budd, C; Chakhchoukh, A; et al.Kuske, R
Date: 11 May 2016
Journal
Physica D: Nonlinear Phenomena
Publisher
Elsevier
Publisher DOI
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 ...
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.
Engineering
Faculty of Environment, Science and Economy
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