Journal article
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 experiments. Finally, we note that the appropriate measure of extensibility, the stretchability, is in this case not determined purely by geometry, but incorporates the mechanics of the sheet.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 868.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.eml.2015.08.003
Authors
- Publisher:
- Elsevier
- Journal:
- Extreme Mechanics Letters More from this journal
- Volume:
- 5
- Pages:
- 81–87
- Publication date:
- 2015-08-28
- Acceptance date:
- 2015-08-22
- DOI:
- EISSN:
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2352-4316
- ISSN:
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2352-4316
- Language:
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English
- Keywords:
- Pubs id:
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pubs:545773
- UUID:
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uuid:355ed6cf-ef8d-4bf4-801b-a3fe7d706679
- Local pid:
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pubs:545773
- Source identifiers:
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545773
- Deposit date:
-
2015-11-27
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2015
- Rights statement:
- Copyright © 2015 Elsevier Ltd.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at https://dx.doi.org/10.1016/j.eml.2015.08.003
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