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Guaranteed upper and lower bounds on the uniform load of cont act problems in elasticity

Abstract:
Two mathematical models are developed within the theoretical framework of large strain elasticity for the determination of upper and lower bounds on the total strain energy of a finitely deformed hyperelastic body in unilateral contact with a rigid surface or with an elastic substrate. The model problems take the form of two continuous optimization problems with inequality constraints, the solutions of which are used to provide an enclosure on the uniform external load acting on the body’s surface away from the contact zone.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1137/15M1046563

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Applied Mathematics Journal website
Volume:
76
Issue:
4
Pages:
1558-1576
Publication date:
2016-04-05
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
URN:
uuid:54e77238-fa1f-43d5-9905-0a075d76e898
Source identifiers:
618206
Local pid:
pubs:618206

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