Inserted: 21 oct 2013
Last Updated: 25 jul 2016
Journal: Math. Models Methods Appl. Sci.
We consider crack propagation in brittle non-linear elastic materials in the context of quasi-static evolutions of energetic type. Given a sequence of self-similar domains $n \Omega$ on which the imposed boundary conditions scale according to Bazant’s law, we show, in agreement with several experimental data, that the corresponding sequence of evolutions converges (for $n \to \infty$) to the evolution of a crack in a brittle linear-elastic material.