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An Asymptotic Study of the Debonding of Thin Films

Bhattacharya, Kaushik and Fonseca, Irene and Francfort, Gilles (2002) An Asymptotic Study of the Debonding of Thin Films. Archive for Rational Mechanics and Analysis, 161 (3). pp. 205-229. ISSN 0003-9527. http://resolver.caltech.edu/CaltechAUTHORS:20131017-151943131

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Abstract

We examine the asymptotic behavior of a bilayer thin film using the notion of Γ-convergence. We allow for debonding at the interface, but penalize it using an interfacial energy; thus the functional we consider consists of the elastic energy of the two layers and the interfacial energy with penalized debonding. We show that the asymptotic theory or Γ-limit depends on the particular form of the interfacial energy, and derive detailed results for both the cohesive and the brittle interface.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://link.springer.com/article/10.1007%2Fs002050100177PublisherArticle
http://dx.doi.org/10.1007/s002050100177DOIArticle
Additional Information:© Springer-Verlag (2002). Accepted May 25, 2001; Published online February 11, 2002. This work progressed through various visits: GAF to Caltech in Summer 1998, KB to Paris-Nord in Spring 1999, all three of us to the Isaac Newton Institute in Fall 1999, and finally GAF to Carnegie-Mellon in Fall 2000. We are grateful to these institutions for their hospitality.We are glad to acknowledge the partial financial support of the US National Science Foundation (KB: CMS 9457573, IF: DMS 9731957 and Center for Nonlinear Analysis grant DMS 9803791), and the Charles Lee Powell Foundation (KB).
Funders:
Funding AgencyGrant Number
NSFCMS 9457573
NSFDMS 9731957
NSFDMS 9803791
Charles Lee Powell FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20131017-151943131
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20131017-151943131
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41979
Collection:CaltechAUTHORS
Deposited By: John Wade
Deposited On:17 Oct 2013 23:41
Last Modified:17 Oct 2013 23:41

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