Applied Mathematics and Optimization

, Volume 44, Issue 3, pp 299–323

Brittle Thin Films

  • A. Braides
  • I. Fonseca

DOI: 10.1007/s00245-001-0022-x

Cite this article as:
Braides, A. & Fonseca, I. Appl Math Optim (2001) 44: 299. doi:10.1007/s00245-001-0022-x

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.

Key words. Γ -Limit, Thin films, Functions of bounded variation, Fracture mechanics. AMS Classification. 35E99, 35M10, 49J45, 73C50, 73M25. 

Copyright information

© 2001 Springer-Verlag New York Inc.

Authors and Affiliations

  • A. Braides
    • 1
  • I. Fonseca
    • 2
  1. 1.SISSA, Via Beirut 4, 34014 Trieste, Italy braides@sissa.it IT
  2. 2.Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA fonseca@andrew.cmu.edu Communicated by D. KinderlehrerUS

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