We study the Γ-convergence of damage to fracture energy functionals in the presence of low-order nonlinear potentials that allow us to model physical phenomena such as of fluid-driven fracturing, plastic slip, and the satisfaction of kinematical constraints such as crack non-interpenetration.
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications / Caroccia, Marco; Van Goethem, Nicolas. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - 53:(2019), pp. 1305-1350. [10.1051/m2an/2019024]
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
Caroccia, Marco;
2019
Abstract
We study the Γ-convergence of damage to fracture energy functionals in the presence of low-order nonlinear potentials that allow us to model physical phenomena such as of fluid-driven fracturing, plastic slip, and the satisfaction of kinematical constraints such as crack non-interpenetration.
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