Volume 53, Number 4, July-August 2019
|Page(s)||1305 - 1350|
|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: firstname.lastname@example.org
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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