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Thin films with many small cracks

Bhattacharya, Kaushik and Braides, Andrea (2002) Thin films with many small cracks. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 458 (2020). pp. 823-840. ISSN 1364-5021.

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We show with an example that the limiting theory as thickness goes to zero of a thin ­film with many small cracks can be three dimensional rather than two dimensional.

Item Type:Article
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URLURL TypeDescription DOIArticle
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2002 The Royal Society. Received 15 November 2000; accepted 19 March 2001; published online 4 March 2002. This work was conducted while A.B. held a position at SISSA, Trieste. A.B. is part of the CNR research project Equazioni alle derivate parziali e calcolo delle variazioni. A.B. gratefully acknowledges the hospitality of the California Institute of Technology during the completion of this work. K.B. gratefully acknowledges the partial financial support of the NSF (CMS 9457573) and AFOSR/MURI (F 49602-98-1-0433).
Funding AgencyGrant Number
NSFCMS 9457573
Air Force Office of Scientific Research (AFOSR)F 49602-98-1-0433
Subject Keywords:Γ-limit; thin films; homogenization; cracks
Issue or Number:2020
Record Number:CaltechAUTHORS:20131004-103540402
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41682
Deposited By: Tony Diaz
Deposited On:04 Oct 2013 17:51
Last Modified:03 Oct 2019 05:51

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