Publication: A Γ-Convergence result for thin curved films bonded to a fixed substrate with a noninterpenetration constraint
A Γ-Convergence result for thin curved films bonded to a fixed substrate with a noninterpenetration constraint
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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. https://doi.org/10.1007/s11401-005-0554-5
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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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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. https://doi.org/10.1007/s11401-005-0554-5