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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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.
|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).|
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|Deposited By:||John Wade|
|Deposited On:||17 Oct 2013 23:41|
|Last Modified:||26 Aug 2015 23:18|
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