1 citations · 1 across the 1 of their papers we have counts for
7 papers
Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We consider a family of vectorial models for cohesive fracture, which may incorporate -invariance. The deformation belongs to the space of generalized functions of…
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models
Marco Bonacini, Sergio Conti, Flaviana Iurlano
In this paper we propose a notion of irreversibility for the evolution of cracks in presence of cohesive forces, which allows for different responses in the loading and unloading p…
Concentration versus oscillation effects in brittle damage
Jean-Francois Babadjian, Flaviana Iurlano, Filip Rindler
This work is concerned with an asymptotic analysis, in the sense of -convergence, of a sequence of variational models of brittle damage in the context of linearized elasticity.…
Partial regularity for the crack set minimizing the two-dimensional Griffith energy
Jean-François Babadjian, Flaviana Iurlano, Antoine Lemenant
In this paper we prove a regularity result for minimizers of the planar Griffith functional arising from a variational model of brittle fracture. We prove that a…
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We prove partial regularity for minimizers to elasticity type energies in the nonlinear framework {with -growth, ,} in dimension . It is an open problem in such a…
Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy
Antonin Chambolle, Sergio Conti, Flaviana Iurlano
We prove that special functions of bounded deformation with small jump set are close in energy to functions which are smooth in a slightly smaller domain. This permits to generaliz…