Calculus of Variations and Geometric Measure Theory

G. Lazzaroni - R. Toader

Some remarks on the viscous approximation of crack growth

created by lazzaroni on 24 May 2011
modified on 05 Oct 2012


Published Paper

Inserted: 24 may 2011
Last Updated: 5 oct 2012

Journal: Discrete Contin. Dyn. Syst. Ser. S (DCDS-S)
Volume: 6
Number: 1
Pages: 131-146
Year: 2013



We describe an existence result for quasistatic evolutions of cracks in antiplane elasticity obtained in Lazzaroni-Toader, M3AS 2011, by a vanishing viscosity approach, with free (but regular enough) crack path. We underline in particular the motivations for the choice of the class of admissible cracks and of the dissipation potential. Moreover, we extend the result to a model with applied forces depending on time.