Calculus of Variations and Geometric Measure Theory

R. Toader - C. Zanini

An artificial viscosity approach to quasistatic crack growth

created by zanini on 24 Jul 2006
modified on 09 Jun 2009


Published Paper

Inserted: 24 jul 2006
Last Updated: 9 jun 2009

Journal: Boll. Unione Mat. Ital. (9)
Volume: 2
Number: 1
Pages: 1-35
Year: 2009


We introduce a new model of irreversible quasistatic crack growth in which the evolution of cracks is the limit of a suitably modified $\varepsilon$-gradient flow of the energy functional, as the ``viscosity" parameter $\varepsilon$ tends to zero.