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A Γ-Convergence result for thin curved films bonded to a fixed substrate with a noninterpenetration constraint


Zorgati, H (2006). A Γ-Convergence result for thin curved films bonded to a fixed substrate with a noninterpenetration constraint. Chinese Annals of Mathematics. Series B, 27(6):615-636.

Abstract

The behavior of a thin curved hyperelastic film bonded to a fixed substrate is described by an energy composed of a nonlinearly hyperelastic energy term and a debonding interfacial energy term. The author computes the Γ-limit of this energy under a noninterpenetration constraint that prohibits penetration of the film into the substrate without excluding contact between them.

Abstract

The behavior of a thin curved hyperelastic film bonded to a fixed substrate is described by an energy composed of a nonlinearly hyperelastic energy term and a debonding interfacial energy term. The author computes the Γ-limit of this energy under a noninterpenetration constraint that prohibits penetration of the film into the substrate without excluding contact between them.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics
Uncontrolled Keywords:Γ-Convergence - Thin curved films - Noninterpenetration constraint
Language:English
Date:2006
Deposited On:22 Jan 2010 13:25
Last Modified:29 Jul 2020 19:36
Publisher:Springer
ISSN:0252-9599
Additional Information:The original publication is available at www.springerlink.com
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s11401-005-0554-5

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