Publications and Preprints

Publications and preprints

1. J.-F. Babadjian, F. Iurlano, Piecewise rank-one approximation of vector fields with measure derivatives, submitted. Preprint arXiv:2311.05335 (2023).

2. M. Bonacini, F. Iurlano, Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies, submitted. Preprint arXiv:2309.17064 (2023).

3. S. Conti, M. Focardi, F. Iurlano, Approximation of SBV functions with possibly infinite jump set, submitted. Preprint arXiv:2309.16557 (2023).

4. P. Ballard, F. Iurlano, Optimal existence results for the 2d elastic contact problem with Coulomb friction, submitted. Preprint arXiv:2303.16298 (2023).

5. S. Conti, M. Focardi, F. Iurlano, Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy, submitted. Preprint arXiv:2205.06541 (2022).

6. P. Ballard, F. Iurlano, Homogenization of friction in a 2D linearly elastic contact problem, J. Elast. 150, 261–325 (2022).

7. J.-F. Babadjian, F. Iurlano, F. Rindler, Shape optimization of light structures and the vanishing mass conjecture, Duke Math. J. 172(1), 43-103 (2023).

8. M. Bonacini, S. Conti, F. Iurlano, Cohesive fracture in 1D: quasi-static evolution and derivation from phase-field models, Arch. Ration. Mech. Anal. 239, 1501–1576 (2021).

9. J.-F. Babadjian, F. Iurlano, F. Rindler, Concentration versus oscillation effects in brittle damage,  Comm. Pure Appl. Math., Vol. LXXIV, 1803–1854 (2021).

10. J.-F. Babadjian, F. Iurlano, A. Lemenant, Partial regularity for the crack set minimizing the two-dimensional Griffith energy, J. Eur. Math. Soc. 24, 2443–2492 (2022).

11. S. Conti, M. Focardi, F. Iurlano, A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems, Commun. Contemp. Math. 21 (2019), no. 6, 58 pp.

12. A. Chambolle, S. Conti, F. Iurlano, Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy, J. Math. Pures Appl. (9) 128 (2019), 119--139.

13. S. Conti, M. Focardi, F. Iurlano, Approximation of fracture energies with p-growth via piecewise affine finite elements, ESAIM Control Optim. Calc. Var., 25 (2019), Paper No. 34, 12 pp.

14. S. Conti, M. Focardi, F. Iurlano, Existence of strong minimizers for the Griffith static fracture model in dimension two, Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 2, 455–474.

15. F. Freddi, F. Iurlano, Numerical insight of a variational smeared approach to cohesive fracture, J. Mech. Phys. Solids 98 (2017), 156--171.

16. S. Conti, M. Focardi, F. Iurlano, Integral representation for functionals defined on SBD^p in dimension two, Arch. Ration. Mech. Anal. 3 (2017), 1337--1374.

17. S. Conti, M. Focardi, F. Iurlano, Which special functions of bounded deformation have bounded variations?, Proc. Roy. Soc. Edinburgh Sect. A 148 (2018), no. 1, 33--50.

18. S. Conti, M. Focardi, F. Iurlano, Phase field approximation of cohesive fracture models, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), 1033--1067.

19. M. Focardi, F. Iurlano, Asymptotic analysis of Ambrosio-Tortorelli energies in linearized elasticity, SIAM J. Math. Anal. 46 (2014), 2936--2955.

20. F. Iurlano, A density result for GSBD and its application to the approximation of brittle fracture energies, Calc. Var. Partial Differential Equations 51 (2014), 315--342.

21. F. Iurlano, Fracture and plastic models as Γ-limits of damage models under different regimes, Adv. Calc. Var.  6 (2013), 165--189.

22. G. Dal Maso, F. Iurlano, Fracture models as Γ-limits of damage models, Commun. Pure Appl. Anal. 12 (2013), 1657--1686.

Notes and Proceeding

1. S. Conti, M. Focardi, F. Iurlano, Existence of minimizers for the 2d stationary Griffith fracture model, C. R. Math. Acad. Sci. Paris 354 (2016), 1055--1059.

2.  S. Conti, M. Focardi, F. Iurlano, Some recent results on the convergence of damage to fracture, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27 (2016), 51--60.

PhD thesis

F. Iurlano, An approximation result for Generalised Functions of Bounded Deformation and applications to damage problems, PhD thesis, preprint SISSA (2013).