We study the Γ-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.
Keywords: special function of bounded deformation, fracture, free discontinuity problem, Γ-convergence, phase-field approximation, geometric measure theory
Caroccia, Marco 1 ; Van Goethem, Nicolas 1
@article{M2AN_2019__53_4_1305_0,
author = {Caroccia, Marco and Van Goethem, Nicolas},
title = {Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1305--1350},
year = {2019},
publisher = {EDP Sciences},
volume = {53},
number = {4},
doi = {10.1051/m2an/2019024},
zbl = {1430.49006},
mrnumber = {3978474},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2019024/}
}
TY - JOUR AU - Caroccia, Marco AU - Van Goethem, Nicolas TI - Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2019 SP - 1305 EP - 1350 VL - 53 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2019024/ DO - 10.1051/m2an/2019024 LA - en ID - M2AN_2019__53_4_1305_0 ER -
%0 Journal Article %A Caroccia, Marco %A Van Goethem, Nicolas %T Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2019 %P 1305-1350 %V 53 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/m2an/2019024/ %R 10.1051/m2an/2019024 %G en %F M2AN_2019__53_4_1305_0
Caroccia, Marco; Van Goethem, Nicolas. Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 53 (2019) no. 4, pp. 1305-1350. doi: 10.1051/m2an/2019024
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