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The role of extensibility in the birth of a ruck in a rug

Abstract:

Everyday experience suggests that a 'ruck' forms when the two ends of a heavy carpet or rug are brought closer together. Classical analysis, however, shows that the horizontal compressive force needed to create such a ruck should be infinite. We show that this apparent paradox is due to the assumption of inextensibility of the rug. By accounting for a finite extensibility, we show that rucks appear with a finite, non-zero end-shortening and confirm our theoretical results with simple experime...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.eml.2015.08.003

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Elsevier Publisher's website
Journal:
Extreme Mechanics Letters Journal website
Volume:
5
Pages:
81–87
Publication date:
2015-12-05
DOI:
EISSN:
2352-4316
ISSN:
2352-4316
URN:
uuid:355ed6cf-ef8d-4bf4-801b-a3fe7d706679
Source identifiers:
545773
Local pid:
pubs:545773

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