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

Mihai, L. Angela ORCID: and Goriely, Alain 2016. Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Siam Journal on Applied Mathematics 76 (4) , pp. 1558-1576. 10.1137/15M1046563

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Society for Industrial and Applied Mathematics
ISSN: 0036-1399
Funders: Engineering and Physical Sciences Research Council of Great Britain
Date of First Compliant Deposit: 27 April 2016
Date of Acceptance: 27 April 2016
Last Modified: 05 May 2023 14:44

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