# Scaling in fracture mechanics by Bazant’s law: from finite to linearized elasticity.

created by negri on 21 Oct 2013
modified on 25 Jul 2016

[BibTeX]

Published Paper

Inserted: 21 oct 2013
Last Updated: 25 jul 2016

Journal: Math. Models Methods Appl. Sci.
Volume: 25
Number: 7
Pages: 1389-1420
Year: 2015

Abstract:

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.