An Example of Homogenization in Thermoelasticity,
Report Office of Naval Research, 1982.

Homogénéisation et oscillations rapides en thermoélasticité linéaire,
C.R.A.S. Paris(1), 295, 1982, 367–370.

Conservation laws and material momentum in thermoelasticity ,
with A.G. Herrmann, J. Appl. Mech., 104, 1982, 710-714.

Homogénéisation de milieux viscoélastiques linéaires de Kelvin-Voigt,
with D. Leguillon, P. Suquet, C.R.A.S. Paris(1), 296, 1983, 287-290.

Thermodynamique et lois de comportement thermomécanique homogénéisées,
with Q.S. Nguyen, P. Suquet, C.R.A.S. Paris(2), 296, 1983, 1007-1010.

Homogenization and linear thermoelasticity,
S.I.A.M. J. Math. Anal., 14, 4, 1983, 696-708.

Homogenization and fast oscillations in linear thermoelasticity,
in: Numerical Methods for Transient & Coupled Problems, R. Lewis, E.Hinton, P. Betess, B.Schrefler, eds., Pineridge, Swansea, 1984, 382-393.

Homogenization and optimal bounds in linear elasticity,

with F. Murat, Arch. Rat. Mech. Anal., 94, 4, 1986, 307-334.

Homogenization and mechanical dissipation in thermoviscoelasticity,
with P. Suquet, Arch. Rat. Mech. Anal. , 96, 3 1986, 265-293.

A contour integral and an energy release rate in thermoelasticity,
with A.G. Herrmann, Int. J. Sol. Struct., 22, 7, 1986, 759-766.

Asymptotic thermoelastic behavior of flat plates, 
with D. Blanchard, Quat. Appl. Math., 45, 4, 1987, 645-667.

Optimal bounds for conduction in two–dimensional, multiphase, polycrystalline Media,
with G.W. Milton, J. Stat. Phys., 46, 1987, 161-177.

Asymptotic transient thermoelastic behavior,
in: Proceedings of the IUTAM Symposium on Thermomechanical Coupling in Solids, H.D. Bui , Q.S. Nguyen, eds. ,Elsevier, Amsterdam, 1987, 291-304.

Study of a doubly non–linear heat equation with no growth assumption on the parabolic term,
with D. Blanchard, S.I.A.M. J. Math. Anal., 19, 5, 1988, 1032-1056.

Optimal bounds for conduction in two–dimensional, two phase, anisotropic media,
with F. Murat, in: Proceedings of the Durham Symposium on Non- Classical Continuum Mechanics, R.J. Knops, ed., Cambridge Press, Cambridge, 1987,197-212.

Homogenization in thermoelasticity,
with S. Brahim-Otsmane, F. Murat, in: Random Media and Composites, R.V. Kohn, G. W. Milton, eds. , S.I.A.M. Press, Philadelphia, 1989, 13-45.

Comportement effectif d’un mélange de matériaux élastiques isotropes ayant le meme module de cisaillement,
with L. Tartar, C.R.A.S. Paris(1), 312, 1991, 301-307.

A few results on a class of degenerate parabolic equations,
with D. Blanchard, Ann. Sc. Norm. Sup. Pisa, 18, 2, 1991, 213-249.

Mathematical analysis of the damage evolution in a brittle damaging continuous medium,
with J.-J. Marigo, in: Mécanique, modélisation numérique et dynamique des matériaux, Publications du L.M.A., 124, Presses du C.N.R.S., 1991, 245-276.

Correctors for the homogenization of the wave and heat equations,
with S. Brahim-Otsmane, F. Murat, J. Math. Pures et Appl., 71, 2, 1992, 197-231.

Homogenisation of a class of fourth order equations with application to incompressible elasticity,
Proc. Royal Soc. Edinburgh, 120A, 1992, 25-46.

Oscillations and energy densities in the wave equation,
with F. Murat, Comm. Part. Dif. Eq., 17, 11&12, 1992, 1785-1865.

A numerical algorithm for topology and shape optimization,
with G. Allaire, in: Topology Design of Structures, M. Bendsoe, C. Mota Soares, eds., Kluwer, Dordrecht, 1993, 239-248.

Stable damage evolution in a brittle continuous medium,
with J.-J. Marigo, Eur. J. Mech. A/Solids, 12, 2, 1993, 149-189.

Combined effects of homogenization and singular perturbations in elasticity,
with S. Muller, J. reine angew. Math., 454, 1994, 1-35 (featured AMS review).

Sets of conductivity and elasticity tensors stable under lamination,
with G.W. Milton, Comm. Pure Appl. Math., 47, 1994, 1-23. 

Relaxation in BV versus quasiconvexification in W 1,p ; a model for the interaction between fracture and damage,
with I. Fonseca, Calc. Variations and PDE, 3, 4, 1995, 407-446.

Fourth order moments of a nonnegative measure on S^2 and applications,
with F. Murat, L. Tartar, Arch. Rat. Mech. Anal., 131, 1995, 305-333.

A topological approach to shape optimization,
with G. Allaire, A. Bonnetier, F. Jouve, Z. fur Ang. Math. & Mechanik, 76, S3, 1996, 255-258.

Shape optimization by the homogenization method,
with G. Allaire, A. Bonnetier, F. Jouve, Numer. Math., 76, 1997, 27-68 (featured AMS review).

Existence of Minimizers for Non-Quasiconvex Functionals Arising in Optimal Design,
with G. Allaire, Ann. I.H.P., Anal. Nonlin., 15, 3, 1998, 301- 339.

Revisiting brittle fracture as an energy minimization problem,
with J.-J. Marigo, J. Mech. Phys. Solids, 46, 2, 1998, 1319-1342.

3d-2d asymptotic analysis of an optimal design problem for a thin film,
with I. Fonseca, J. reine angew. Math., 505, 1998, 173- 202.

Une approche variationnelle de la mécanique du défaut,
with J.-J. Marigo, ESAIM: Proc., 6, 1998, 57-74 (

Cracks in fracture mechanics: A time-indexed family of energy minimizers,
with J.-J. Marigo, in: IUTAM Symposium on Variation of Domains and Free-Boundariy Problems in Solid Mechanics,
P. Argoul, M. Frémond, Q.S. Nguyen, eds., Solid Mechanics and its Applications, Vol. 66, Kluwer, Dordrecht, 1999, 197-203.

Numerical experiments in revisited brittle fracture,
with B. Bourdin, J.-J. Marigo, J. Mech. Phys. Sol., 48, 4, 2000, 797-826. 

3D- 2D asymptotic analysis for inhomogeneous thin films,
with A. Braides, I. Fonseca, Indiana U. Maths. J., 49,4, 2000, 1367-1404.

Revisiting brittle fracture as an energy minimization problem: Comparison of Griffith and Barenblatt surface energy models,
with M. Charlotte, J.-J. Marigo, L. Truskinovsky, in: Continuous Damage and Fracture,
A. Benallal, Ed., The Data Science Library, Elsevier, Paris, 2000, 7-12.

Duality relations for nonlinear incompressible 2-dimensional elasticity,
with P. Suquet, Proc. Royal Soc. Edinburgh, 131A, 2001, 351-369.

On the inadequacy of the scaling of linear elasticity for 3d-2d asymptotics in a nonlinear setting,
with I. Fonseca, J. Math. Pures et Appl., 80, 5, 2001, 547-562.

An asymptotic study of the debonding of thin films,
with K. Bhattacharya, I. Fonseca, Arch. Rat. Mech. Anal., 161, 2002, 205-229.

On conservation laws and necessary conditions in the calculus of variations,
with J. Sivaloganathan, Proc. Royal Soc. Edinburgh, 132A, 2002, 1361-1371.

Vers une théorie énergétique de la rupture fragile,
with J.-J. Marigo, C.R. Mécanique, 330, 2002, 225-233.

Existence and convergence for quasistatic evolution in brittle fracture,
with C.J. Larsen, Comm. Pure Appl. Maths, 56, 2003, 1465-1500.

Monotone operators in divergence form with x-dependent multivalued graphs,
with F. Murat, L. Tartar, Boll. Un. Mat. Ital., 7B, 2004, 23-59.

The wave equation on a thin domain: energy density and observability,
with P. Gérard, J. Hyp. Diff. Eq., 1, 2, 2004, 351-366.

Bounds on the effective behaviour of a square conducting lattice,
with A. Braides, Proc. Royal Soc. London A, 460(2046), 2004, 1755-1769.

Quasistatic crack growth in non-linear elasticity,
with G. Dal Maso, R. Toader, Arch. Rat. Mech. Anal., 176, 2005, 165-225.

Spatial heterogeneity in 3D-2D dimensional reduction,
with J.F. Babadjian , ESAIM: COCV, 11, 1, 2005, 139-160.

Quasistatic evolution in brittle fracture : the case of bounded solutions,
with G. Dal Maso, R. Toader, in : Calculus of Variations. Topics from the Mathematical Heritage of Ennio De Giorgi, D. Pallara, Ed., Quaderni di Matematica 14, Aracne, Roma, 2005, 245-266.

Griffith theory of brittle fracture revisited : merits and drawbacks,
with J.-J. Marigo, Latin Amer. J. Solids Struct., 2, 2005, 57-64.

An introduction to H–measures and their applications,
in : Variational Problems in Materials Science, G. Dal Maso, A. DeSimone, F. Tomarelli, Eds., Progress in Nonlinear Differential Equations and Their Applications 68, Birkhåuser Verlag, Basel, 2006, 85-110.

Quasistatic brittle fracture seen as an energy minimizing movement,
GAMM-Mitteilungen, 29, 2, 2006, 172-191.

Existence results for a class of rate-independent material models with nonconvex elastic energies,
with A. Mielke, J. reine angew. Math., 595, 2006, 55-91.

A variational view of partial brittle damage evolution,
with A. Garroni, Arch. Rat. Mech. Anal., 182, 2006, 125-152.

Thin elastic films : the impact of higher order perturbations,
with I. Fonseca, G. Leoni, Quarterly Applied Maths., LXV,1, 2007, 69-98.
+ erratum Quarterly Applied Maths., LXVI,4, 2008, 781-799.

The variational approach to fracture,
with B. Bourdin, J.-J. Marigo, J. Elasticity, 91, 1-3, 2008, 1-148.

The variational approach to fracture,
with B. Bourdin, J.-J. Marigo, ISBN: 978-1-4020-6394-7, Springer, Amsterdam, 2008,

Critical Points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case,
with N. Le, S. Serfaty, ESAIM: COCV, 15, 3, 2009, 576-598.

The proofs of the optimal bounds for mixtures of two anisotropic conducting materials in two dimensions,
with F. Murat, Mechanics of Materials, 41, 2009, 448-455.

Homogenization of monotone operators in divergence form with x-dependent multivalued graphs,
with F. Murat, L.Tartar, Ann. Mat. Pura Appl., 188, 4, 2009, 631-652.

When and how do cracks propagate?,
with A. Chambolle, J.-J. Marigo, J. Mech. Phys. Solids, 57, 2009, 1614-1622.

Revisiting energy release rates in brittle fracture,
with A. Chambolle, J.-J. Marigo, J. Nonlinear Sci., 20,4 2010, 395-424.

Quasistatic evolution in non-associative elastoplasticity: The cap model,
with J.F. Babadjian, M.G. Mora, SIAM J. Math Anal., 44, 2012, 245-292.

Small strain heterogeneous elasto-plasticity revisited,
with A. Giacomini, Com. Pure Appl. Maths., 65, 9, 2012, 1185-1241.

with B. Bourdin, in: Variational Models and Methods in Solid and Fluid Mechanics, F. Dell’Isola and S. Gavrilyuk, Eds., CISM Courses and Lectures 535, Springer, New York, 2012, 107-162.

Un résumé de la théorie variationnelle de la rupture,
Séminaire Laurent Schwartz - EDP et applications, 2011-2012, Exposé XXII, 1-11.

On the Fleck and Willis homogenization procedure for strain gradient plasticity,
with A. Giacomini, A. Musesti, Discrete Cont. Dyn. Systems-S, 6,1, 2013, 43-62.

On periodic homogenization in perfect elasto-plasticity,
with A. Giacomini, J. Eur. Math. Soc., 16(3), 2014, 409-461.

Quasistatic Evolution for the Armstrong-Frederick Hardening-Plasticity Model,
with U. Stefanelli, Applied Maths. Res. Express, vol.2, 2013, 297-344.

Loss of Ellipticity through Homogenization in Linear Elasticity, with M. Briane, Math. Mod. Meth. Appl. Sciences, 25(5), 2015, 905-928.

A critical revisiting of finite elasto-plasticity,
with E. Davoli, SIAM J. Math Anal., 47(1), 2015, 526-565.

The role of a vanishing interfacial layer in perfect elasto-plasticity,
with A. Giacomini, Chin. Ann. Math., 36B(5), 2015, 813-828.

A case study for uniqueness of elasto-plastic evolutions: the bi-axial test,
with A. Giacomini, J.-J. Marigo, J. Math. Pures et Appl., 105, 2016, 198-227.

The taming of plastic slips in Von Mises elasto-plasticity,
with A. Giacomini, J.-J. Marigo, Interf. and Free Bdaries, 17(4), 2015, 497-516.

Korn-Poincaré inequalities for functions with a small jump set,
with A. Chambolle, S. Conti, Indiana U. Maths J., 65(4), 2016, 1373-1399.

The elasto-plastic exquisite corpse: A Suquet legacy,
with A. Giacomini, J.-J. Marigo, J. Mech. Phys. Solids, 97, 2016, 125-139.

A note on the derivation of rigid-plastic models,
with J.F. Babadjian, Non Linear Diff. Eqs. and Appl., 23(3), 2016, article 37.

Isotropy prohibits the loss of strong ellipticity through homogenization in linearized elasticity,
with A. Gloria, Comptes Rendus Mathématique, 354(11), 2016, 1139-1144.

Recovering convexity in non-associated plasticity,
Compte-Rendus Mecanique, 346(3), 2018, 198-205.

Quasistatic evolution in non-associative plasticity revisited,
with M.G. Mora, Calc. Variations and PDE, 57:11, 2018.

Approximation of a brittle fracture energy with a constraint of non- interpenetration,
with A. Chambolle, S. Conti, Arch. Rat. Mech. Anal. , 228(3), 2018, 867-889.

Fracture with healing: a first step towards a new view of cavitation, 
with A. Giacomini, O. Lopez-Pamies, Analysis & PDE, 12(2), 2019, 417-447.

Fracture and healing of elastomers: A phase-transition theory and numerical implementation,
with A, Kumar, O. Lopez-Pamies J. Mech. Phys. Solids. , 112, 2018, 523-551.

A two-dimensional labile aether through homogenization,
with M. Briane, Commun. Math. Phys. , 367(2), 2019, 599-628.

Revisiting Nucleation in the Phase-Field Approach to Brittle Fracture,
with B. Bourdin, A. Kumar, O. Lopez-Pamies, J. Mech. Phys. Solids, 142, 2020, 104027.

Variational Fracture, Twenty Years After,
 Int. J. Fracture, 237, 2022, 3-13.

Continuity equation and characteristic flow for scalar Hencky plasticity 
with J.-F. Babadjian, Com. Pure Appl. Maths, 76, 2023, 2271-2334.

Enhancement of elasto-dielectrics by homogenization of active charges,
with A. Gloria, O. Lopez-Pamies,  J. Math. Pures et Appl., 156, 2021, 392-419.

The curious case of 2D isotropic incompressible Neo- Hookean composites,
with V. Lefèvre, O. Lopez-Pamies,  J. Elasticity, 151, 2022, 177-186.

The Mathematics of Thin Structures,
with J.-F. Babadjian, G. Di Fratta, I. Fonseca, M. Lewicka,
C. Muratov,  Quart. Applied Math., 81, 2023, 1-64.

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