-
1
-
-
0012520952
-
A new approach to variational problems with multiple scales
-
Alberti G. and Müller S. (2001). A new approach to variational problems with multiple scales. Commun. Pure. Appl. Math 54: 761-825
-
(2001)
Commun. Pure. Appl. Math
, vol.54
, pp. 761-825
-
-
Alberti, G.1
Müller, S.2
-
2
-
-
0001482683
-
Asymptotic development by Γ-convergence
-
Anzellotti G. and Baldo S. (1993). Asymptotic development by Γ-convergence. Appl. Math. Optim. 27: 105-123
-
(1993)
Appl. Math. Optim.
, vol.27
, pp. 105-123
-
-
Anzellotti, G.1
Baldo, S.2
-
3
-
-
0042976072
-
On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love Plate Bending Models
-
Arnold D.N., Madureira A.L. and Zhang S. (2002). On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love Plate Bending Models. J. Elast. 67: 171-185
-
(2002)
J. Elast.
, vol.67
, pp. 171-185
-
-
Arnold, D.N.1
Madureira, A.L.2
Zhang, S.3
-
4
-
-
0039465453
-
Commensurate phases, incommensurate phases and the devil's staircase
-
Bak P. (1982). Commensurate phases, incommensurate phases and the devil's staircase. Rep. Prog. Phys. 45: 587-629
-
(1982)
Rep. Prog. Phys.
, vol.45
, pp. 587-629
-
-
Bak, P.1
-
5
-
-
77649193465
-
The mathematical theory of equilibrium cracks in brittle fracture
-
Barenblatt G.I. (1962). The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7: 55-129
-
(1962)
Adv. Appl. Mech.
, vol.7
, pp. 55-129
-
-
Barenblatt, G.I.1
-
9
-
-
25444509289
-
Analysis of a prototypical multiscale method coupling atomic and continuum mechanics
-
Blanc X., Le Bris C. and Legoll F. (2005). Analysis of a prototypical multiscale method coupling atomic and continuum mechanics. M2AN 39: 797-826
-
(2005)
M2AN
, vol.39
, pp. 797-826
-
-
Blanc, X.1
Le Bris, C.2
Legoll, F.3
-
15
-
-
34249023752
-
A handbook of Γ-convergence
-
(Chipot M., Quittner P. eds.), Elsevier, Amsterdam
-
Braides, A.: A handbook of Γ-convergence. In: Handbook of differential equations, stationary partial differential equations, vol. 3 (Chipot M., Quittner P. eds.), Elsevier, Amsterdam (2006)
-
(2006)
Handbook of Differential Equations, Stationary Partial Differential Equations
, vol.3
-
-
Braides, A.1
-
16
-
-
34547270364
-
Surface energies in discrete systems
-
Braides A. and Cicalese M. (2007). Surface energies in discrete systems. M3AS 17: 985-1037
-
(2007)
M3AS
, vol.17
, pp. 985-1037
-
-
Braides, A.1
Cicalese, M.2
-
18
-
-
84974249359
-
The interaction between bulk energy and surface energy in multiple integrals
-
Braides A. and Coscia A. (1994). The interaction between bulk energy and surface energy in multiple integrals. Proc. Roy. Soc. Edinburgh Sect. A 124: 737-756
-
(1994)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.124
, pp. 737-756
-
-
Braides, A.1
Coscia, A.2
-
19
-
-
0033411059
-
Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
-
Braides A., Dal Maso G. and Garroni A. (1999). Variational formulation of softening phenomena in fracture mechanics: the one-dimensional case. Arch. Ration. Mech. Anal. 146: 23-58
-
(1999)
Arch. Ration. Mech. Anal.
, vol.146
, pp. 23-58
-
-
Braides, A.1
Dal Maso, G.2
Garroni, A.3
-
22
-
-
33644607609
-
Effective cohesive behavior of layers of interatomic planes
-
Braides A., Lew A. and Ortiz M. (2006). Effective cohesive behavior of layers of interatomic planes. Arch. Ration. Mech. Anal. 180: 151-182
-
(2006)
Arch. Ration. Mech. Anal.
, vol.180
, pp. 151-182
-
-
Braides, A.1
Lew, A.2
Ortiz, M.3
-
23
-
-
73949127920
-
Multiscale analysis for a prototypical model for the interaction between microstructure and surface energy
-
in press
-
Braides, A., Zeppieri, C.I.: Multiscale analysis for a prototypical model for the interaction between microstructure and surface energy. Interfaces free bound (in press) (2008)
-
(2008)
Interfaces Free Bound
-
-
Braides, A.1
Zeppieri, C.I.2
-
24
-
-
0036036465
-
Phase field models for microstructural evolution
-
Chan L.Q. (2002). Phase field models for microstructural evolution. Ann. Rev. Mater. Res. 32: 113-140
-
(2002)
Ann. Rev. Mater. Res.
, vol.32
, pp. 113-140
-
-
Chan, L.Q.1
-
27
-
-
17444429601
-
Dislocation microstructures and the effective behaior of single crystals
-
Conti S. and Ortiz M. (2005). Dislocation microstructures and the effective behaior of single crystals. Arch. Ration. Mech. Anal. 176: 103-147
-
(2005)
Arch. Ration. Mech. Anal.
, vol.176
, pp. 103-147
-
-
Conti, S.1
Ortiz, M.2
-
29
-
-
0141568837
-
Linearized elasticity as Γ-limit of finite elasticity
-
Dal Maso G., Negri M. and Percivale D. (2002). Linearized elasticity as Γ-limit of finite elasticity. Set Valued Anal. 10: 165-183
-
(2002)
Set Valued Anal.
, vol.10
, pp. 165-183
-
-
Dal Maso, G.1
Negri, M.2
Percivale, D.3
-
33
-
-
20444494915
-
Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
-
Dingreville R., Qu J. and Cherkaoui M. (2005). Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. J. Mech. Phys. Solids. 53: 1827-1854
-
(2005)
J. Mech. Phys. Solids.
, vol.53
, pp. 1827-1854
-
-
Dingreville, R.1
Qu, J.2
Cherkaoui, M.3
-
35
-
-
0001693540
-
Hysteresis in discrete systems of possibly interacting elements with a double-well energy
-
Fedelich B. and Zanzotto G. (1992). Hysteresis in discrete systems of possibly interacting elements with a double-well energy. J. Nonlinear Sci. 2: 319-342
-
(1992)
J. Nonlinear Sci.
, vol.2
, pp. 319-342
-
-
Fedelich, B.1
Zanzotto, G.2
-
36
-
-
84966224390
-
Asymptotic phenomena in mathematical physics
-
Friederichs K.O. (1955). Asymptotic phenomena in mathematical physics. Bull. Amer. Math. Soc. 61: 485-504
-
(1955)
Bull. Amer. Math. Soc.
, vol.61
, pp. 485-504
-
-
Friederichs, K.O.1
-
37
-
-
33644602781
-
A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence
-
Friesecke G., James R.D. and Müller S. (2006). A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence. Arch. Ration. Mech. Anal. 180: 183-236
-
(2006)
Arch. Ration. Mech. Anal.
, vol.180
, pp. 183-236
-
-
Friesecke, G.1
James, R.D.2
Müller, S.3
-
39
-
-
0000357002
-
The Phenomena of Rupture and Flow in Solids Phil
-
Griffith A.A. (1921). The Phenomena of Rupture and Flow in Solids Phil. Trans. R. Soc. Lond. Ser. A 221: 163-198
-
(1921)
Trans. R. Soc. Lond. Ser. A
, vol.221
, pp. 163-198
-
-
Griffith, A.A.1
-
41
-
-
31444441426
-
Elastic media with microstructure. I-One-dimensional models
-
Springer, Berlin
-
Kunin, I.A.: Elastic media with microstructure. I-One-dimensional models. In: Springer series in solid-state sciences. vol. 26, p. 299. Springer, Berlin (1982)
-
(1982)
Springer Series in Solid-state Sciences
, vol.26
, pp. 299
-
-
Kunin, I.A.1
-
44
-
-
0038015971
-
Analysis of non-local models through energetic formulations
-
Lorentz E. and Andrieux S. (2003). Analysis of non-local models through energetic formulations. Int. J. Solids Struct. 40: 2905-2936
-
(2003)
Int. J. Solids Struct.
, vol.40
, pp. 2905-2936
-
-
Lorentz, E.1
Andrieux, S.2
-
45
-
-
42149143012
-
Griffith Theory Revisited
-
Multiscale modeling in continuum mechanics & structured deformations. In: Del Piero, G., Owen, D. (eds.) Springer, Berlin
-
Marigo, J.-J., Griffith Theory Revisited. In: Multiscale modeling in continuum mechanics & structured deformations. In: Del Piero, G., Owen, D. (eds.) CISM International centre for mechanical sciences, N. 447, p. 276. Springer, Berlin (2004)
-
(2004)
CISM International Centre for Mechanical Sciences
, Issue.447
, pp. 276
-
-
Marigo, J.-J.1
-
46
-
-
33645699534
-
Hierarchy of one-dimensional models in nonlinear elasticity
-
Marigo J.-J. and Meunier N. (2006). Hierarchy of one-dimensional models in nonlinear elasticity. J. Elast. 83: 1-28
-
(2006)
J. Elast.
, vol.83
, pp. 1-28
-
-
Marigo, J.-J.1
Meunier, N.2
-
47
-
-
2942525310
-
Initiation and propagation of fracture in the models of Griffith and Barenblatt
-
4
-
Marigo J.J. and Truskinovsky L. (2004). Initiation and propagation of fracture in the models of Griffith and Barenblatt. Cont. Mech. Therm. 16(4): 391-409
-
(2004)
Cont. Mech. Therm.
, vol.16
, pp. 391-409
-
-
Marigo, J.J.1
Truskinovsky, L.2
-
49
-
-
0000095439
-
Second gradient of strain and surface-tension in linear elasticity
-
Mindlin R.D. (1965). Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct. 1: 417-438
-
(1965)
Int. J. Solids Struct.
, vol.1
, pp. 417-438
-
-
Mindlin, R.D.1
-
50
-
-
34250109116
-
The gradient theory of phase transitions and the minimal interface criterion
-
Modica L. (1987). The gradient theory of phase transitions and the minimal interface criterion. Arch. Ration. Mech. Anal. 98: 123-142
-
(1987)
Arch. Ration. Mech. Anal.
, vol.98
, pp. 123-142
-
-
Modica, L.1
-
51
-
-
0042977334
-
Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method
-
Monneau R. (2003). Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method. Arch. Ration. Mech. Anal. 169: 1-34
-
(2003)
Arch. Ration. Mech. Anal.
, vol.169
, pp. 1-34
-
-
Monneau, R.1
-
52
-
-
2642552346
-
A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity
-
Mora M.G. and Müller S. (2004). A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity. Ann. Inst. H. Poincaré Anal. Non Linéaire 21: 271-293
-
(2004)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.21
, pp. 271-293
-
-
Mora, M.G.1
Müller, S.2
-
53
-
-
0000390068
-
Singular perturbations as a selection criterion for periodic minimizing sequences
-
Müller S. (1993). Singular perturbations as a selection criterion for periodic minimizing sequences. Calc. Var. Partial Differ. Eqs. 1: 169-204
-
(1993)
Calc. Var. Partial Differ. Eqs.
, vol.1
, pp. 169-204
-
-
Müller, S.1
-
55
-
-
0038129935
-
On the justification of the nonlinear inextensional plate model
-
Pantz O. (2003). On the justification of the nonlinear inextensional plate model. Arch. Ration. Mech. Anal. 167: 179-209
-
(2003)
Arch. Ration. Mech. Anal.
, vol.167
, pp. 179-209
-
-
Pantz, O.1
-
56
-
-
0037371630
-
A simple model for phase transition: From the discrete to the continuum problem
-
Pagano S. and Paroni R. (2003). A simple model for phase transition: from the discrete to the continuum problem. Quart. Appl. Math. 61: 89-109
-
(2003)
Quart. Appl. Math.
, vol.61
, pp. 89-109
-
-
Pagano, S.1
Paroni, R.2
-
57
-
-
0001925167
-
Mechanics of a discrete chain with bi-stable elements
-
Puglisi G. and Truskinovsky L. (2000). Mechanics of a discrete chain with bi-stable elements. J. Mech. Phys. Solids 48: 1-27
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 1-27
-
-
Puglisi, G.1
Truskinovsky, L.2
-
58
-
-
0034441979
-
Finite scale microstructures in nonlocal elasticity
-
Ren X. and Truskinovsky L. (2000). Finite scale microstructures in nonlocal elasticity. J. Elas. 59: 319-355
-
(2000)
J. Elas.
, vol.59
, pp. 319-355
-
-
Ren, X.1
Truskinovsky, L.2
-
61
-
-
0033902368
-
On derivation of strain gradient effects in the overall behavior of periodic homogeneous media
-
Smyshlyaev V.P. and Cherdnichenko K.D. (2000). On derivation of strain gradient effects in the overall behavior of periodic homogeneous media. J. Mech. Phys. Solids 48: 1325-1357
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 1325-1357
-
-
Smyshlyaev, V.P.1
Cherdnichenko, K.D.2
-
62
-
-
42149179418
-
Proceedings of the IUTAM symposium on size effects on material and structural behavior at micron - And nano-scales
-
Sun, Q.P., Tong, P. (Eds.)
-
Sun, Q.P., Tong, P. (Eds.): Proceedings of the IUTAM Symposium on Size Effects on Material and Structural Behavior at Micron - and Nano-Scales. Solid Mechanics and Its Applications, vol. 142, p. 263, (2006)
-
(2006)
Solid Mechanics and Its Applications
, vol.142
, pp. 263
-
-
-
63
-
-
0030158774
-
Quasi-continuum analysis of defects in solids
-
Tadmor E.B., Ortiz M. and Phillips R. (1996). Quasi-continuum analysis of defects in solids. Phil. Mag. A 73: 1529-1563
-
(1996)
Phil. Mag. A
, vol.73
, pp. 1529-1563
-
-
Tadmor, E.B.1
Ortiz, M.2
Phillips, R.3
-
65
-
-
0030215097
-
Ericksen's bar revisited: Energy wiggles
-
8
-
Truskinovsky L. and Zanzotto G. (1996). Ericksen's bar revisited: energy wiggles. J. Mech. Phys. Solids 44(8): 1371-1408
-
(1996)
J. Mech. Phys. Solids
, vol.44
, pp. 1371-1408
-
-
Truskinovsky, L.1
Zanzotto, G.2
-
66
-
-
1642617747
-
About the orgin of the nucleation peak in transformational plasticity
-
Truskinovsky L. and Vainchtein A. (2004). About the orgin of the nucleation peak in transformational plasticity. J. Mech. Phys. Solids 52: 1421-1446
-
(2004)
J. Mech. Phys. Solids
, vol.52
, pp. 1421-1446
-
-
Truskinovsky, L.1
Vainchtein, A.2
-
68
-
-
0032046595
-
The role of the spinodal in one-dimensional phase transitions microstructures
-
Vainchtein A., Healey T., Rosakis P. and Truskinovsky L. (1998). The role of the spinodal in one-dimensional phase transitions microstructures. Physica D 115: 29-48
-
(1998)
Physica D
, vol.115
, pp. 29-48
-
-
Vainchtein, A.1
Healey, T.2
Rosakis, P.3
Truskinovsky, L.4
-
69
-
-
33745562760
-
The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. Reprint of an original article
-
Waals J.D. van der (1979). The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. Reprint of an original article. J. Stat. Phys. 20: 200-244
-
(1979)
J. Stat. Phys.
, vol.20
, pp. 200-244
-
-
Van Der Waals, J.D.1
|