List of publications


    Articles
  1. J.-F. Babadjian, A. Giacomini, M. G. Mora: Spatial regularity for general yield criteria in dynamic and quasi-static perfect plasticity, submitted (2024).

  2. J.-F. Babadjian, G. A. Francfort: Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem, submitted (2023).

  3. J.-F. Babadjian, F. Iurlano: Piecewise rank-one approximation of vector fields with measure derivatives, accepted in Bulletin of the London Mathematical Society.

  4. J.-F. Babadjian, V. Millot, R. Rodiac: A note on the one-dimensional critical points of the Ambrosio-Tortorelli functional, Asymptotic Analysis 135 (2023) 349-362.

  5. J.-F. Babadjian, V. Millot, R. Rodiac: On the convergence of critical points of the Ambrosio-Tortorelli functional, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire 41, no. 6 (2024) 1367-1417.

  6. J.-F. Babadjian, G. Di Fratta, I. Fonseca, G. A. Francfort, M. Lewicka, C. B. Muratov: The Mathematics of thin structures, Quarterly of Applied Mathematics 81, no. 1 (2023) 1-64.

  7. J.-F. Babadjian, E. Bonhomme: Discrete approximation of the Griffith functional by adaptive finite elements, SIAM Journal on Mathematical Analysis 55, no. 6 (2023) 6778-6837.

  8. J.-F. Babadjian, R. Llerena: Mixed boundary conditions as limits of dissipative boundary conditions in dynamic perfect plasticity, Journal of Convex Analysis 30, no. 1 (2023) 081-110.

  9. J.-F. Babadjian, F. Iurlano, F. Rindler: Shape optimization of light structures and the vanishing mass conjecture, Duke Mathematical Journal 172, no. 1 (2023) 43-103.

  10. J.-F. Babadjian, G. A. Francfort: Continuity equation and characteristic flow for scalar Hencky plasticity, Communications on Pure and Applied Mathematics 76, no. 10 (2023) 2271-2334.

  11. J.-F. Babadjian, V. Crismale: Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity, Journal de Mathématiques Pures et Appliquées 148, no. 9 (2021) 75-127.

  12. J.-F. Babadjian, F. Iurlano, F. Rindler: Concentration versus oscillation effects in brittle damage, Communications on Pure and Applied Mathematics 74, no. 9 (2021) 1801-2022.

  13. J.-F. Babadjian, F. Iurlano, A. Lemenant: Partial regularity for the crack set minimizing the two-dimensional Griffith energy, Journal of the European Mathematical Society 24, no. 7 (2022) 2443-2492.

  14. J.-F. Babadjian, M. G. Mora: Stress regularity in quasi-static perfect plasticity with a pressure dependent yield criterion, Journal of Differential Equations 264, no. 8 (2018) 5109-5151.

  15. J.-F. Babadjian, C. Mifsud: Hyperbolic structure for a simplified model of dynamical perfect plasticity, Archive for Rational Mechanics and Analysis 223, no. 2 (2017) 761-815.

  16. J.-F. Babadjian, G. A. Francfort: A note on the derivation of rigid-plastic models, NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 3, 23-37.

  17. J.-F. Babadjian, D. Henao: Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination, Interfaces and Free Boundaries 18, no. 4 (2016), 545-578.

  18. J.-F. Babadjian, C. Mifsud, N. Seguin: Relaxation approximation of Friedrichs' systems under convex constraints, Netw. Heterog. Media, 11 (2016) 223-237.

  19. J.-F. Babadjian, A. Chambolle, A. Lemenant: Energy release rate for non smooth cracks in planar elasticity, Journal de l'Ecole Polytechnique - Mathématiques, 2 (2015), 117-152.

  20. J.-F. Babadjian: Traces of functions of bounded deformation, Indiana University Mathematics Journal, 64 (2015), 1271-1290.

  21. A. A. Leon Baldelli, J.-F. Babadjian, B. Bourdin, D. Henao, C. Maurini: A variational model for fracture and debonding of thin films under in-plane loadings, Journal of the Mechanics and Physics of Solids, 70 (2014), 320-348.

  22. J.-F Babadjian, M. G. Mora: Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models, Quarterly of Applied Mathematics, 73 (2015), 265-316.

  23. J.-F Babadjian, V. Millot: Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 31, no. 4 (2014), 779-822.

  24. J.-F Babadjian, A. Giacomini: Existence of strong solutions for quasi-static evolution in brittle fracture, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), 13 (2014), 925-974.

  25. J.-F Babadjian, G.A. Francfort, M.G. Mora: Quasistatic evolution in non-associative plasticity - the cap model, SIAM Journal on Mathematical Analysis, 44, no. 1 (2012), 245-292.

  26. J.-F Babadjian, F. Prinari, E. Zappale: Dimensional reduction for supremal functionals, Discrete and Continuous Dynamical Systems - A, 32, no. 5 (2012), 1503-1535.

  27. J.-F Babadjian, E. Bonnetier, F. Triki: Enhancement of electromagnetic fields caused by interacting subwavelength cavities, Multiscale Modelling and Simulation, 8, no. 4 (2010), 1383-1418.

  28. J.-F Babadjian: A quasistatic evolution model for the interaction between fracture and damage, Archive for Rational Mechanics and Analysis 200, no. 3, (2011), 945-1002.

  29. J.-F. Babadjian, V. Millot: Homogenization of variational problems in manifold valued BV-spaces, Calculus of Variations and Partial Differential Equations 36, no.1, (2009), 7-47.

  30. J.-F. Babadjian, V. Millot: Homogenization of variational problems in manifold valued Sobolev spaces, ESAIM Control, Optimisation and Calculus of Variations 16, no. 4 (2010), 833-855.

  31. J.-F. Babadjian, E. Zappale, H. Zorgati: Dimensional reduction for energies with linear growth involving the bending moment, Journal de Mathématiques Pures et Appliquées 90, no. 6, (2008), 520-549.

  32. J.-F. Babadjian: Lower semicontinuity of quasiconvex bulk energies and integral representation in dimension reduction, SIAM Journal on Mathematical Analysis, 39, no. 6, (2008), 1921-1950.

  33. J.-F. Babadjian, M. Baía, P. M. Santos: Characterization of two-scale gradient Young measures and application to homogenization, Applied Mathematics and Optimization, 57, no. 1 (2008), 69-97.

  34. J.-F. Babadjian, M. Barchiesi: A variational approach to the local character of G-closure: the convex case, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 26, no. 2 (2009), 351-373.

  35. N. Ansini, J.-F. Babadjian, C. I. Zeppieri: Neumann Sieve problem and dimensional reduction: a multiscale approach, Mathematical Models and Methods in Applied Sciences, 17, no. 5 (2007), 681-735.

  36. J.-F. Babadjian, M. Baía: Multiscale nonconvex relaxation and application to thin films, Asymptotic Analysis, 48, no. 3 (2006), 173-218.

  37. J.-F. Babadjian, M. Baía: 3D-2D analysis of a thin film with periodic microstructure, Proceedings of the Royal Society of Edinburgh, Section A, 136, no. 2 (2006), 223-243.

  38. J.-F. Babadjian: Quasistatic evolution of a brittle thin film, Calculus of Variations and Partial Differential Equations 26, no. 1 (2006), 69-118.

  39. J.-F. Babadjian, G. A. Francfort: Spatial heterogeneity in 3D-2D dimensional reduction, ESAIM Control, Optimisation and Calculus of Variations 11, no. 1 (2005), 139-160.


Proceedings
  1. J.-F. Babadjian: Stability of quasi-static crack evolution through dimensional reduction, Proceeding of the IUTAM Symposium on Variational Concepts and Applications to the Mechanics of Materials, Bochum, Septembre 22-26 2008, IUTAM Bookseries, Vol. 21, Springer Netherlands, 1-13.


Thesis
  1. Habilitation thesis: Méthodes variationnelles pour l'étude de milieux dissipatifs: applications en rupture, endommagement et plasticité, Paris 6 University, 2013.

  2. Ph. D thesis: Dimensional reduction for heterogeneous, slit or cracked bodies, Paris 13 University, 2005.

  3. Master's thesis: Study of constitutive laws for hardening or fibre reenforced materials, Laboratoire Central des Ponts et Chaussées, 2002.


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