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

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

41 pages, 4 Figures