| Issue |
ESAIM: M2AN
Volume 53, Number 4, July-August 2019
|
|
|---|---|---|
| Page(s) | 1305 - 1350 | |
| DOI | https://doi.org/10.1051/m2an/2019024 | |
| Published online | 09 July 2019 | |
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
Universidade de Lisboa, Faculdade de Ciências, Departamento de Matemática, CMAFcIO, Alameda da Universidade, 1749-016 Lisboa, Portugal
* Corresponding author: vangoeth@fc.ul.pt
Received:
25
July
2018
Accepted:
16
March
2019
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.
Mathematics Subject Classification: 49J45 / 26B30 / 74R10 / 35A35
Key words: special function of bounded deformation / fracture / free discontinuity problem / Γ-convergence / phase-field approximation / geometric measure theory
© EDP Sciences, SMAI 2019
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