-
1
-
-
33746398176
-
Empirical chemical pseudopotential theory of molecular and metallic bonding
-
G. C. Abell, Empirical chemical pseudopotential theory of molecular and metallic bonding, Phys. Rev. B, 31 (1985), pp. 6184-6196.
-
(1985)
Phys. Rev. B
, vol.31
, pp. 6184-6196
-
-
Abell, G.C.1
-
2
-
-
0037343002
-
Update on a class of gradient theories
-
E. C. Aifantis, Update on a class of gradient theories, Mech. Mater., 35 (2003), pp. 259-280.
-
(2003)
Mech. Mater.
, vol.35
, pp. 259-280
-
-
Aifantis, E.C.1
-
3
-
-
0242370790
-
Modelling and numerical simulation of martensitic transformation in shape memory alloys
-
M. Arndt, M. Griebel, and T. Roubíček, Modelling and numerical simulation of martensitic transformation in shape memory alloys, Contin. Mech. Thermodyn., 15 (2003), pp. 463 485.
-
(2003)
Contin. Mech. Thermodyn.
, vol.15
-
-
Arndt, M.1
Griebel, M.2
Roubíček, T.3
-
4
-
-
0028272692
-
Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models
-
S. Bardenhagen and N. Triantafyllidis, Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models, J. Mech. Phys. Solids, 42 (1994), pp. 111-139.
-
(1994)
J. Mech. Phys. Solids
, vol.42
, pp. 111-139
-
-
Bardenhagen, S.1
Triantafyllidis, N.2
-
5
-
-
0035981342
-
From molecular models to continuum mechanics
-
X. Blanc, C. Le Bris, and P.-L. Lions, From molecular models to continuum mechanics, Arch. Ration. Mech. Anal., 164 (2002), pp. 341-381.
-
(2002)
Arch. Ration. Mech. Anal.
, vol.164
, pp. 341-381
-
-
Blanc, X.1
Le Bris, C.2
Lions, P.-L.3
-
6
-
-
33745109680
-
-
Research Report 95-07, Seminar für Angewandte Mathematik, ETH Zürich, Zürich, Switzerland
-
R. Bodenmann, Summation by Parts Forrawa for Noncentered Finite Differences, Research Report 95-07, Seminar für Angewandte Mathematik, ETH Zürich, Zürich, Switzerland, 1995.
-
(1995)
Summation By Parts Forrawa for Noncentered Finite Differences
-
-
Bodenmann, R.1
-
8
-
-
0013529169
-
-
Lecture notes, SISSA, Trieste, Italy
-
A. Braides and M. S. Gelli, From Discrete to Continuum: A Variational Approach, Lecture notes, SISSA, Trieste, Italy, 2000.
-
(2000)
From Discrete to Continuum: A Variational Approach
-
-
Braides, A.1
Gelli, M.S.2
-
9
-
-
33644817086
-
Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films
-
D. W. Brenner, Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films, Phys. Rev. B, 42 (1990), pp. 9458-9471.
-
(1990)
Phys. Rev. B
, vol.42
, pp. 9458-9471
-
-
Brenner, D.W.1
-
10
-
-
0002436381
-
A quasicontinuum approximation for solitons in an atomic chain
-
M. A. Collins, A quasicontinuum approximation for solitons in an atomic chain, Chem. Phys. Lett., 77 (1981), pp. 342-347.
-
(1981)
Chem. Phys. Lett.
, vol.77
, pp. 342-347
-
-
Collins, M.A.1
-
11
-
-
0037166891
-
Dynamics of an inhomogeneously coarse grained multiscale system
-
S. Curtarolo and G. Ceder, Dynamics of an inhomogeneously coarse grained multiscale system,Phys. Rev. Lett., 88 (2002), 255504.
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 255504
-
-
Curtarolo, S.1
Ceder, G.2
-
13
-
-
4244024430
-
Semiempirical, quantum mechanical calculation of hydrogen embrittlement in metals
-
M.S. Daw and M. I. Baskes, Semiempirical, quantum mechanical calculation of hydrogen embrittlement in metals, Phys. Rev. Lett., 50 (1983), pp. 1285-1288.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 1285-1288
-
-
Daw, M.S.1
Baskes, M.I.2
-
14
-
-
4244079381
-
Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
-
M. S. Daw and M. I. Baskes, Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals, Phys. Rev. B, 29 (1984), pp. 6443-6453.
-
(1984)
Phys. Rev. B
, vol.29
, pp. 6443-6453
-
-
Daw, M.S.1
Baskes, M.I.2
-
15
-
-
33745075674
-
-
Preprint 725, WIAS Berlin, Berlin, Germany
-
W. Dreyer and R. Guckel, Micro-Macro Transitions by Interpolation, Smoothing/Averaging and Scaling of Particle Trajectories, Preprint 725, WIAS Berlin, Berlin, Germany, 2002.
-
(2002)
Micro-Macro Transitions By Interpolation, Smoothing/Averaging and Scaling of Particle Trajectories
-
-
Dreyer, W.1
Guckel, R.2
-
16
-
-
0037058026
-
A dynamic atomistic-continuum method for the simulation of crystalline materials
-
W. E
-
W. E and Z. Huang, A dynamic atomistic-continuum method for the simulation of crystalline materials, J. Comput. Phys., 182 (2002), pp. 234-261.
-
(2002)
J. Comput. Phys.
, vol.182
, pp. 234-261
-
-
Huang, Z.1
-
17
-
-
0001942365
-
Studies of nonlinear problems I
-
Lect. Appl. Math. 15, A. C. Newell, ed., AMS, Providence, RI
-
E. Fermi, J. Pasta, and S. Ulam, Studies of nonlinear problems I, in Nonlinear Wave Motion, Lect. Appl. Math. 15, A. C. Newell, ed., AMS, Providence, RI. 1974, pp. 143-156.
-
(1974)
Nonlinear Wave Motion
, pp. 143-156
-
-
Fermi, E.1
Pasta, J.2
Ulam, S.3
-
18
-
-
0033872514
-
A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods
-
G. Friesecke and R. D. James, A scheme for the passage from atomic to continuum theory for thin films, nanotubes and nanorods, J. Mech. Phys. Solids, 48 (2000), pp. 1519-1540.
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 1519-1540
-
-
Friesecke, G.1
James, R.D.2
-
19
-
-
0042762774
-
Geometric solitary waves in a 2D mass-spring lattice
-
G. Friesecke and K. Matthies, Geometric solitary waves in a 2D mass-spring lattice, Discrete Contin. Dyn. Syst., 3 (2003), pp. 105-114.
-
(2003)
Discrete Contin. Dyn. Syst.
, vol.3
, pp. 105-114
-
-
Friesecke, G.1
Matthies, K.2
-
20
-
-
0033229031
-
Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
-
G. Friesecke and R. L. Pego, Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit, Nonlinearity, 12 (1999), pp. 1601-1627.
-
(1999)
Nonlinearity
, vol.12
, pp. 1601-1627
-
-
Friesecke, G.1
Pego, R.L.2
-
21
-
-
0042964912
-
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
-
G. Friesecke and F. Theil, Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice, J. Nonlinear Sci., 12 (2002), pp. 445-478.
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 445-478
-
-
Friesecke, G.1
Theil, F.2
-
22
-
-
41349084168
-
Continuum approach to discreteness
-
P. G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop, and E. S. Titi, Continuum approach to discreteness, Phys. Rev. E, 65 (2002), 046613.
-
(2002)
Phys. Rev. E
, vol.65
, pp. 046613
-
-
Kevrekidis, P.G.1
Kevrekidis, I.G.2
Bishop, A.R.3
Titi, E.S.4
-
23
-
-
17744372759
-
Stroboscopic perturbation procedure for treating a class of nonlinear wave equations
-
M. D. Kruskal and N. J. Zabusky, Stroboscopic perturbation procedure for treating a class of nonlinear wave equations, J. Math. Phys., 5 (1964), pp. 231-244.
-
(1964)
J. Math. Phys.
, vol.5
, pp. 231-244
-
-
Kruskal, M.D.1
Zabusky, N.J.2
-
24
-
-
0001398295
-
Dynamics of nonlinear mass-pring chains near the continuum limit
-
P. Rosenau, Dynamics of nonlinear mass-pring chains near the continuum limit, Phys. Lett. A, 118 (1986), pp. 222-227.
-
(1986)
Phys. Lett. A
, vol.118
, pp. 222-227
-
-
Rosenau, P.1
-
25
-
-
25344474267
-
Dynamics of dense lattices
-
P. Rosenau, Dynamics of dense lattices, Phys. Rev. B, 36 (1987), pp. 5868-5876.
-
(1987)
Phys. Rev. B
, vol.36
, pp. 5868-5876
-
-
Rosenau, P.1
-
26
-
-
0037420850
-
Hamiltonian dynamics of dense chains and lattices: Or how to correct the continuum
-
P. Rosenau, Hamiltonian dynamics of dense chains and lattices: Or how to correct the continuum, Phys. Lett. A, 311 (2003), pp. 39-52.
-
(2003)
Phys. Lett. A
, vol.311
, pp. 39-52
-
-
Rosenau, P.1
-
27
-
-
0346310165
-
"The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density"
-
Translation of J. D. van der Waals' English translation of [34]
-
J. Rowlinson, Translation of J. D. van der Waals' "The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density," J. Stat. Phys., 20 (1979), pp. 197 244. English translation of [34].
-
(1979)
J. Stat. Phys.
, vol.20
, pp. 197-244
-
-
Rowlinson, J.1
-
28
-
-
0001259264
-
Coarse-grained molecular dynamics and the atomic limit of finite elements
-
R. E. Rudd and J. Q. Broughton, Coarse-grained molecular dynamics and the atomic limit of finite elements, Phys. Rev. B, 58 (1998), pp. R5893-R5896.
-
(1998)
Phys. Rev. B
, vol.58
-
-
Rudd, R.E.1
Broughton, J.Q.2
-
29
-
-
4243754961
-
Computer simulation of local order in condensed phases of silicon
-
F. H. Stillinger and T. A. Weber, Computer simulation of local order in condensed phases of silicon, Phys. Rev. B, 31 (1985), pp. 5262-5271.
-
(1985)
Phys. Rev. B
, vol.31
, pp. 5262-5271
-
-
Stillinger, F.H.1
Weber, T.A.2
-
30
-
-
0030158774
-
Quasicontinuum analysis of defects in solids
-
E. B. Tadmor, M. Ortiz, and R. Phillips, Quasicontinuum analysis of defects in solids, Philos. Mag. A, 73 (1996), pp. 1529-1563.
-
(1996)
Philos. Mag. A
, vol.73
, pp. 1529-1563
-
-
Tadmor, E.B.1
Ortiz, M.2
Phillips, R.3
-
31
-
-
0000726819
-
New empirical model for the structural properties of silicon
-
J. Tersoff, New empirical model for the structural properties of silicon, Phys. Rev. Lett., 56 (1986), pp. 632-635.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 632-635
-
-
Tersoff, J.1
-
32
-
-
0027813754
-
On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
-
N. Triantafyllidis and S. Bardenhagen, On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models, J. Elasticity, 33 (1993),pp. 259-293.
-
(1993)
J. Elasticity
, vol.33
, pp. 259-293
-
-
Triantafyllidis, N.1
Bardenhagen, S.2
-
33
-
-
0030290932
-
The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models
-
N. Triantafyllidis and S. Bardenhagen, The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models, J. Mech. Phys. Solids, 44 (1996), pp. 1891-1928.
-
(1996)
J. Mech. Phys. Solids
, vol.44
, pp. 1891-1928
-
-
Triantafyllidis, N.1
Bardenhagen, S.2
-
34
-
-
0002850821
-
The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
-
(in Dutch)
-
J. D. van der Waals, The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density, Verhandel. Konink. Akad. Weten. Amsterdam, 1 (1893), pp. 1-56 (in Dutch).
-
(1893)
Verhandel. Konink. Akad. Weten. Amsterdam
, vol.1
, pp. 1-56
-
-
van der Waals, J.D.1
-
35
-
-
0042858270
-
Coupling of atomistic and continuum simulations using a bridging scale decomposition
-
G. J. Wagner and W. K. Liu, Coupling of atomistic and continuum simulations using a bridging scale decomposition, J. Comput. Phys., 190 (2003), pp. 249-274.
-
(2003)
J. Comput. Phys.
, vol.190
, pp. 249-274
-
-
Wagner, G.J.1
Liu, W.K.2
-
36
-
-
21144479491
-
Approximations to solitary waves on lattices. II. Quasi-continuum methods for fast and slow waves
-
J. A. D. Wattis, Approximations to solitary waves on lattices. II. Quasi-continuum methods for fast and slow waves, J. Phys. A, 26 (1993), pp. 1193-1209.
-
(1993)
J. Phys. A
, vol.26
, pp. 1193-1209
-
-
Wattis, J.A.D.1
-
37
-
-
33846361348
-
Interaction of "solitons" in a collisionless plasma and the recurrence of initial states
-
N. J. Zabusky and M. D. Kruskal, Interaction of "solitons" in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett., 15 (1965), pp. 240-243.
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
|