# Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications

created by caroccia on 07 Mar 2018
modified on 08 Mar 2018

[BibTeX]

Preprint

Inserted: 7 mar 2018
Last Updated: 8 mar 2018

Pages: 41
Year: 2018

Abstract:

We study the $\Gamma$-convergence of damage to fracture energy functionals in the presence of low-order nonlinear potentials that allows us to model physical phenomena such as fluid-driven fracturing, plastic slip, and the satisfaction of kinematical constraints such as crack non-interpenetration. Existence results are also addressed.