Calculus of Variations and Geometric Measure Theory
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M. Caroccia - N. Van Goethem

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

created by caroccia on 07 Mar 2018
modified on 19 Jun 2019

[BibTeX]

Accepted Paper

Inserted: 7 mar 2018
Last Updated: 19 jun 2019

Journal: ESAIM: M2AN
Pages: 41
Year: 2019
Doi: https://doi.org/10.1051/m2an/2019024

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.


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