Brittle Thin Films

Andrea Braides
SISSA
Via Beirut 4
34014 Trieste, Italy

and

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213, USA

ABSTRACT:

A 2-dimensional model for brittle thin films is obtained from a 3-dimensional fracture model for elastic material. $\Gamma$-convergence techniques are used to identify the limiting effective energy as the thickness of the sample approaches zero.

1991 Mathematics subject classification (Amer. Math. Soc.): 35E99, 35M10, 49J45, 73C50, 73M25

Key Words : $\Gamma$-limit, thin films, functions of bounded variation, fracture mechanics

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