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Brittle Thin Films

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Abstract.

A two-dimensional model for brittle thin films is obtained from a three-dimensional fracture model for elastic material. Γ -convergence techniques are used to identify the limiting effective energy as the thickness of the sample approaches zero.

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Authors and Affiliations

  1. SISSA, Via Beirut 4, 34014 Trieste, Italybraides@sissa.it, Italy

    A. Braides

  2. Department of Mathematical Sciences,Carnegie Mellon University,Pittsburgh, PA 15213, USAfonseca@andrew.cmu.eduCommunicated by D. Kinderlehrer, USA

    I. Fonseca

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  1. A. Braides
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  2. I. Fonseca
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Accepted 27 March 2001. Online publication 9 August 2001.

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Braides, A., Fonseca, I. Brittle Thin Films. Appl Math Optim 44, 299–323 (2001). https://doi.org/10.1007/s00245-001-0022-x

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  • DOI: https://doi.org/10.1007/s00245-001-0022-x

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