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1
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34547297895
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Phase and anti-phase boundaries in binary discrete systems: A variational viewpoint
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R. Alicandro, A. Braides and M. Cicalese, Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint, Networks and Heterogeneous Media 1 (2006) 85-107.
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(2006)
Networks and Heterogeneous Media
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, pp. 85-107
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Alicandro, R.1
Braides, A.2
Cicalese, M.3
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2
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14544282401
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A general integral representation result for continuum limits of discrete energies with superlinear growth
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R. Alicandro and M. Cicalese, A general integral representation result for continuum limits of discrete energies with superlinear growth, SIAM J. Math. Anal. 36 (2004) 1-37.
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SIAM J. Math. Anal
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Alicandro, R.1
Cicalese, M.2
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4
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0001482683
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Asymptotic development by F-convergence
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G. Anzellotti and S. Baldo, Asymptotic development by F-convergence, Appl. Math. Optim. 27 (1993) 105-123.
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Appl. Math. Optim
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Anzellotti, G.1
Baldo, S.2
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6
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0004114463
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Approximation of Free-Discontinuity Problems
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Springer-Verlag
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A. Braides, Approximation of Free-Discontinuity Problems, Lecture Notes in Mathematics (Springer-Verlag, 1998).
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(1998)
Lecture Notes in Mathematics
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Braides, A.1
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8
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23044521212
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Non-local variational limits of discrete systems
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A. Braides, Non-local variational limits of discrete systems, Comm. Contemp. Math. 2 (2000) 285-297.
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(2000)
Comm. Contemp. Math
, vol.2
, pp. 285-297
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Braides, A.1
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9
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0033411059
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Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
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A. Braides, G. Dal Maso and A. Garroni, Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case, Arch. Rational Mech. Anal. 146 (1999) 23-58.
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(1999)
Arch. Rational Mech. Anal
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Braides, A.1
Dal Maso, G.2
Garroni, A.3
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10
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42149196135
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From discrete systems to continuum variational problems: An introduction
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Topics on Concentration Phenomena and Problems with Multiple Scales, Springer
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A. Braides and M. S. Gelli, From discrete systems to continuum variational problems: An introduction, in Topics on Concentration Phenomena and Problems with Multiple Scales, Lecture Notes Unione Mat. Ital., Vol. 2 (Springer, 2006), pp. 3-77.
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(2006)
Lecture Notes Unione Mat. Ital
, vol.2
, pp. 3-77
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Braides, A.1
Gelli, M.S.2
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12
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14544301489
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Continuum limits of discrete systems without convexity hypotheses
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A. Braides and M. S. Gelli, Continuum limits of discrete systems without convexity hypotheses, Math. Mech. Solids 6 (2002) 395-414.
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(2002)
Math. Mech. Solids
, vol.6
, pp. 395-414
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Braides, A.1
Gelli, M.S.2
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13
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0037005605
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Limits of discrete systems with long range interactions
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A. Braides and M. S. Gelli, Limits of discrete systems with long range interactions, J. Convex Anal. 9 (2002) 363-399.
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(2002)
J. Convex Anal
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Braides, A.1
Gelli, M.S.2
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14
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34547341707
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A. Braides, M. S. Gelli and M. Sigalotti, The passage from non-convex discrete systems to variational problem in Sobolev spaces: The one-dimensional case, Proc. Steklov Inst. 236 (2002) 395-414.
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A. Braides, M. S. Gelli and M. Sigalotti, The passage from non-convex discrete systems to variational problem in Sobolev spaces: The one-dimensional case, Proc. Steklov Inst. 236 (2002) 395-414.
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15
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33644607609
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Effective cohesive behavior of layers of interatomic planes
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A. Braides, A. J. Lew and M. Ortiz, Effective cohesive behavior of layers of interatomic planes, Arch. Rational Mech. Anal. 180 (2006) 151-182.
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(2006)
Arch. Rational Mech. Anal
, vol.180
, pp. 151-182
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Braides, A.1
Lew, A.J.2
Ortiz, M.3
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16
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34547329355
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Asymptotic development of variational theories: A Γ-convergence approach
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in preparation
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A. Braides and L. Truskinowsky, Asymptotic development of variational theories: A Γ-convergence approach, in preparation.
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Braides, A.1
Truskinowsky, L.2
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17
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0033463011
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Finite differences discretizations of the Mumford-Shah functional
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A. Chambolle, Finite differences discretizations of the Mumford-Shah functional, RAIRO-Model. Math. Anal. Numer. 33 (1999) 261-288.
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RAIRO-Model. Math. Anal. Numer
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Chambolle, A.1
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20
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0032203603
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A one-dimensional model for localized and distributed failure
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G. Del Piero and L. Truskinovsky, A one-dimensional model for localized and distributed failure, J. Phys. IV France 8 (1998) 95-102.
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J. Phys. IV France
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Del Piero, G.1
Truskinovsky, L.2
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21
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0042964912
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Validity and failure of the Cauchy -Born hypothesis in a 2D mass-spring lattice
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G. Friesecke and F. Theil, Validity and failure of the Cauchy -Born hypothesis in a 2D mass-spring lattice, J. Nonlinear Sci. 12 (2002) 445-478.
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J. Nonlinear Sci
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Friesecke, G.1
Theil, F.2
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22
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34547346556
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Periodic crystals as local minimizers of pair potential energies
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preprint
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G. Friesecke and F. Theil, Periodic crystals as local minimizers of pair potential energies, preprint 2005.
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(2005)
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Friesecke, G.1
Theil, F.2
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23
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0001403346
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Relaxation near surfaces and interfaces for first-, second- and third-neighbour interactions: Theory and applications to polytypism
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S. Houchmandzadeh, J. Lajzerowicz and E. Salje, Relaxation near surfaces and interfaces for first-, second- and third-neighbour interactions: Theory and applications to polytypism, J. Phys.: Cond. Matter. 4 (1992) 9779-9794.
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J. Phys.: Cond. Matter
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Houchmandzadeh, S.1
Lajzerowicz, J.2
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25
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0037371630
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A simple model for phase transitions: From discrete to continuum problem
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S. Pagano and R. Paroni, A simple model for phase transitions: from discrete to continuum problem, Quart. Appl. Math. 61 (2003) 89-109.
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Quart. Appl. Math
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Pagano, S.1
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26
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0037367508
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From discrete to continuum: A Young measure approach
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R. Paroni, From discrete to continuum: A Young measure approach, Z. Angew. Math. Phys. 54 (2003) 328-348.
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Z. Angew. Math. Phys
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Paroni, R.1
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27
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29644436437
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A proof of crystallization in two dimensions
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F. Theil, A proof of crystallization in two dimensions, Comm. Math. Phys. 262 (2006) 209-236.
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Comm. Math. Phys
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28
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0002828126
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Fracture as phase transition
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eds. R. C. Batra and M. F. Beattys, CIMNE, Barcelona
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L. Truskinovsky, Fracture as phase transition, in Contemporary Research in the Mechanics and Mathematics of Materials, eds. R. C. Batra and M. F. Beattys, CIMNE, Barcelona (1996), pp. 322-332.
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