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Published February 1, 2002 | public
Journal Article

An Asymptotic Study of the Debonding of Thin Films


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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