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Self-Similar Fold Evolution Under Prescribed End-Shortening |
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| Authors: | Chris J. Budd Giles W. Hunt Mark A. Peletier |
| Affiliation: | (1) Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, United Kingdom;(2) Department of Mechanical Engineering, University of Bath, United Kingdom;(3) Departments of Mathematical Sciences and Mechanical Engineering, University of Bath, United Kingdom;(4) Present address: Centrum voor Wiskunde en Informatica (CWI), P. O. Box 94079, 1090 GB Amsterdam |
| Abstract: | The evolution of single-layer folds under prescribed end-shortening conditions displays folds of varying wavelength. We investigate a simple model of this kind and characterize the long-term behaviour of fold profiles. In particular we determine the evolution of the axial load and the variation of the wavelength, and we show that fold profiles are highly self-similar. |
| Keywords: | long-term asymptotics fold characterization variable wave-length viscous winkler foundation viscous halfspace |
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