English

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

Analysis of PDEs 2018-03-09 v3

Abstract

We study the Γ\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

Keywords

Cite

@article{arxiv.1712.08556,
  title  = {Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications},
  author = {Marco Caroccia and Nicolas Van Goethem},
  journal= {arXiv preprint arXiv:1712.08556},
  year   = {2018}
}

Comments

41 pages, 4 Figures

R2 v1 2026-06-22T23:27:37.004Z