List of publications

  1. 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.

  2. 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.

  3. 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.

  4. 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.

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

  6. 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.

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

  8. 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.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

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

  14. 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.

  15. 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.

  16. 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.

  17. 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.

  18. 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.

  19. 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.

  20. 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.

  21. 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.

  22. 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.

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

  24. 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.

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

  26. 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.

  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.

  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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