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Regimes of wrinkling in an indented floating elastic sheet

Abstract:
A thin, elastic sheet floating on the surface of a liquid bath wrinkles when poked at its center. We study the onset of wrinkling as well as the evolution of the pattern as indentation progresses far beyond the wrinkling threshold. We use tension field theory to describe the macroscopic properties of the deformed film and show that the system passes through a host of different regimes, even while the deflections and strains remain small. We show that the effect of the finite size of the sheet ultimately plays a key role in determining the location of the wrinkle pattern, and obtain scaling relations that characterize the number of wrinkles at threshold and its variation as the indentation progresses.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevE.98.013003

Authors


More by this author
Institution:
MPLS
Department:
Mathematical Institute
Oxford college:
Lincoln College
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author


More from this funder
Funding agency for:
Vella, D
Grant:
637344
More from this funder
Funding agency for:
Vella, D
Grant:
637344
More from this funder
Funding agency for:
Vella, D
Grant:
637344


Publisher:
American Physical Society
Journal:
Physical Review E More from this journal
Volume:
98
Issue:
1
Pages:
013003
Publication date:
2018-07-23
Acceptance date:
2018-06-21
DOI:
EISSN:
1550-2376
ISSN:
1539-3755


Pubs id:
pubs:868265
UUID:
uuid:b1f8767b-de6f-4fd1-8034-1190ce56fb42
Local pid:
pubs:868265
Source identifiers:
868265
Deposit date:
2018-07-12

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