A $\Gamma$-Convergence Result for Thin Curved Films Bonded to a Fixed Substrate with a Noninterpenetration Constraint

Citation:

Hamdi ZORGATI.A $\Gamma$-Convergence Result for Thin Curved Films Bonded to a Fixed Substrate with a Noninterpenetration Constraint[J].Chinese Annals of Mathematics B,2006,27(6):615~636
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Authors:

Hamdi ZORGATI;
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 $\Gamma$-limit of this energy under a noninterpenetration constraint that prohibits penetration of the film into the substrate without excluding contact between them.

Keywords:

$\Gamma$-Convergence, Thin curved films, Noninterpenetration constraint

Classification:

49J45, 74K35
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