-
1
-
-
0038530115
-
Direct coupling of atomistic and continuum mechanics in computational materials science
-
Miller R.E. Direct coupling of atomistic and continuum mechanics in computational materials science. Int. J. Multiscale Comput. Eng. 1 (2003) 57-72
-
(2003)
Int. J. Multiscale Comput. Eng.
, vol.1
, pp. 57-72
-
-
Miller, R.E.1
-
3
-
-
24144457619
-
An overview of multiscale simulations of materials
-
Rieth M., and Shommers W. (Eds), American Scientific Publishers
-
Lu G., and Kaxiras E. An overview of multiscale simulations of materials. In: Rieth M., and Shommers W. (Eds). Handbook of Theoretical and Computational Nanotechnology vol. 10 (2005), American Scientific Publishers
-
(2005)
Handbook of Theoretical and Computational Nanotechnology
, vol.10
-
-
Lu, G.1
Kaxiras, E.2
-
4
-
-
70350638572
-
A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods
-
Miller R.E., and Tadmor E.B. A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods. Modell. Simul. Mater. Sci. Eng. 17 (2009) 053001
-
(2009)
Modell. Simul. Mater. Sci. Eng.
, vol.17
, pp. 053001
-
-
Miller, R.E.1
Tadmor, E.B.2
-
5
-
-
85128805678
-
The heterogeneous multiscale methods
-
E W., and Engquist B. The heterogeneous multiscale methods. Comm. Math. Sci. 1 (2003) 87-132
-
(2003)
Comm. Math. Sci.
, vol.1
, pp. 87-132
-
-
E, W.1
Engquist, B.2
-
6
-
-
18544383450
-
Multiscale modeling of the dynamics of solids at finite temperature
-
Li X., and E W. Multiscale modeling of the dynamics of solids at finite temperature. Comput. Methods Appl. Mech. Eng. 53 (2005) 1650-1685
-
(2005)
Comput. Methods Appl. Mech. Eng.
, vol.53
, pp. 1650-1685
-
-
Li, X.1
E, W.2
-
7
-
-
0001259264
-
Coarse-grained molecular dynamics and the atomic limit of finite elements
-
Rudd R.E., and Broughton J.Q. Coarse-grained molecular dynamics and the atomic limit of finite elements. Phys. Rev. B 58 (1998) R5893
-
(1998)
Phys. Rev. B
, vol.58
-
-
Rudd, R.E.1
Broughton, J.Q.2
-
8
-
-
0037166891
-
Dynamics of an inhomogeneously coarse grained multiscale system
-
Curtarolo S., and Ceder G. 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
-
9
-
-
55249111832
-
The discontinuous Galerkin method for the multiscale modeling of dynamics of crystalline solids
-
Wang W., Li X., and Shu C.-W. The discontinuous Galerkin method for the multiscale modeling of dynamics of crystalline solids. Multiscale Model. Simul. 7 (2008) 294-320
-
(2008)
Multiscale Model. Simul.
, vol.7
, pp. 294-320
-
-
Wang, W.1
Li, X.2
Shu, C.-W.3
-
10
-
-
0346055020
-
Reformulation of elasticity theory for discontinuities and long-range forces
-
Silling S.A. Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids 48 (2000) 175-209
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 175-209
-
-
Silling, S.A.1
-
12
-
-
0030158774
-
Quasicontinuum analysis of defects in solids
-
Tadmor E.B., Ortiz M., and Phillips R. Quasicontinuum analysis of defects in solids. Phil. Mag. A 73 (1996) 1529-1563
-
(1996)
Phil. Mag. A
, vol.73
, pp. 1529-1563
-
-
Tadmor, E.B.1
Ortiz, M.2
Phillips, R.3
-
13
-
-
30944467079
-
Bridging scale methods for nanomechanics and materials
-
Liu W.K., Park H.S., Qian D., Karpov E.G., Kadowaki H., and Wagner G.J. Bridging scale methods for nanomechanics and materials. Comput. Methods Appl. Mech. Eng. 195 (2006) 1407-1421
-
(2006)
Comput. Methods Appl. Mech. Eng.
, vol.195
, pp. 1407-1421
-
-
Liu, W.K.1
Park, H.S.2
Qian, D.3
Karpov, E.G.4
Kadowaki, H.5
Wagner, G.J.6
-
14
-
-
36749111305
-
Generalized Langevin equation approach for atom/solid-surface scattering: collinear atom/harmonic chain model
-
Adelman S.A., and Doll J.D. Generalized Langevin equation approach for atom/solid-surface scattering: collinear atom/harmonic chain model. J. Chem. Phys. 61 (1974) 4242-4245
-
(1974)
J. Chem. Phys.
, vol.61
, pp. 4242-4245
-
-
Adelman, S.A.1
Doll, J.D.2
-
15
-
-
36749113534
-
Generalized Langevin equation approach for atom/solid-surface scattering: general formulation for classical scattering off harmonic solids
-
Adelman S.A., and Doll J.D. Generalized Langevin equation approach for atom/solid-surface scattering: general formulation for classical scattering off harmonic solids. J. Chem. Phys. 64 (1976) 2376-2388
-
(1976)
J. Chem. Phys.
, vol.64
, pp. 2376-2388
-
-
Adelman, S.A.1
Doll, J.D.2
-
17
-
-
0042858270
-
Coupling of atomistic and continuum simulations using a bridging scale decomposition
-
Wagner G.J., and Liu W.K. Coupling of atomistic and continuum simulations using a bridging scale decomposition. J. Comput. Phys. 190 (2003) 249-274
-
(2003)
J. Comput. Phys.
, vol.190
, pp. 249-274
-
-
Wagner, G.J.1
Liu, W.K.2
-
18
-
-
0034300238
-
Minimizing boundary reflections in coupled-domain simulations
-
Cai W., de Koning M., Bulatov V.V., and Yip S. Minimizing boundary reflections in coupled-domain simulations. Phys. Rev. Lett. 85 (2000) 3213-3216
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 3213-3216
-
-
Cai, W.1
de Koning, M.2
Bulatov, V.V.3
Yip, S.4
-
19
-
-
14844316289
-
A Green's function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations
-
Karpov E.G., Wagner G.J., and Liu W.K. A Green's function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations. Int. J. Numer. Methods Eng. 62 (2005) 1250-1262
-
(2005)
Int. J. Numer. Methods Eng.
, vol.62
, pp. 1250-1262
-
-
Karpov, E.G.1
Wagner, G.J.2
Liu, W.K.3
-
20
-
-
34247116809
-
A phonon heat bath approach for the atomistic and multiscale simulation of solids
-
Karpov E.G., Park H.S., and Liu W.K. A phonon heat bath approach for the atomistic and multiscale simulation of solids. Int. J. Numer. Methods Eng. 70 (2007) 351-378
-
(2007)
Int. J. Numer. Methods Eng.
, vol.70
, pp. 351-378
-
-
Karpov, E.G.1
Park, H.S.2
Liu, W.K.3
-
21
-
-
42749099174
-
Matching conditions in atomistic-continuum modeling of materials
-
E W., and Huang Z. Matching conditions in atomistic-continuum modeling of materials. Phys. Rev. Lett. 87 (2001) 135501
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 135501
-
-
E, W.1
Huang, Z.2
-
22
-
-
0037058026
-
A dynamic atomistic-continuum method for the simulation of crystalline materials
-
E W., and Huang Z. A dynamic atomistic-continuum method for the simulation of crystalline materials. J. Comput. Phys. 182 (2002) 234-261
-
(2002)
J. Comput. Phys.
, vol.182
, pp. 234-261
-
-
E, W.1
Huang, Z.2
-
23
-
-
1842686579
-
A bridging domain method for coupling continua with molecular dynamics
-
Xiao S.P., and Belytschko T. A bridging domain method for coupling continua with molecular dynamics. Comput. Methods Appl. Mech. Eng. 193 (2004) 1645-1669
-
(2004)
Comput. Methods Appl. Mech. Eng.
, vol.193
, pp. 1645-1669
-
-
Xiao, S.P.1
Belytschko, T.2
-
24
-
-
33645900290
-
A spacetime discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance
-
Abedi R., Petracovici B., and Haber R.B. A spacetime discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance. Comput. Methods Appl. Mech. Eng. 195 (2006) 3247-3273
-
(2006)
Comput. Methods Appl. Mech. Eng.
, vol.195
, pp. 3247-3273
-
-
Abedi, R.1
Petracovici, B.2
Haber, R.B.3
-
25
-
-
85190570458
-
-
S.T. Miller, B. Kraczek, R.B. Haber, D.D. Johnson, Multi-field spacetime discontinuous Galerkin methods for linearized elastodynamics, Comput. Methods Appl. Mech. Eng. (2009), Published online; doi:10.1016/j.cma.2009.09.012.
-
S.T. Miller, B. Kraczek, R.B. Haber, D.D. Johnson, Multi-field spacetime discontinuous Galerkin methods for linearized elastodynamics, Comput. Methods Appl. Mech. Eng. (2009), Published online; doi:10.1016/j.cma.2009.09.012.
-
-
-
-
27
-
-
23144456141
-
Building space-time meshes over arbitrary spatial domains
-
Erickson J., Guoy D., Sullivan J., and Üngör A. Building space-time meshes over arbitrary spatial domains. Engineering with Computers 20 4 (2005) 342-353
-
(2005)
Engineering with Computers
, vol.20
, Issue.4
, pp. 342-353
-
-
Erickson, J.1
Guoy, D.2
Sullivan, J.3
Üngör, A.4
-
28
-
-
4544270077
-
Spacetime meshing with adaptive refinement and coarsening
-
R. Abedi, S.-H. Chung, J. Erickson, Y. Fan, M. Garland, D. Guoy, R. Haber, J. Sullivan, S. Thite, Y. Zhou, Spacetime meshing with adaptive refinement and coarsening, in: Proc. 20th Ann. ACM Symp. on Comput. Geometry, 2004, pp. 300-309.
-
(2004)
Proc. 20th Ann. ACM Symp. on Comput. Geometry
, pp. 300-309
-
-
Abedi, R.1
Chung, S.-H.2
Erickson, J.3
Fan, Y.4
Garland, M.5
Guoy, D.6
Haber, R.7
Sullivan, J.8
Thite, S.9
Zhou, Y.10
-
29
-
-
23144465179
-
Tent-pitcher: A meshing algorithm for space-time discontinuous Galerkin methods
-
A. Üngör, A. Sheffer, Tent-pitcher: a meshing algorithm for space-time discontinuous Galerkin methods, in: Proc. 9th Int. Meshing Roundtable, 2000, pp. 161-171.
-
(2000)
Proc. 9th Int. Meshing Roundtable
, pp. 161-171
-
-
Üngör, A.1
Sheffer, A.2
-
30
-
-
36749110571
-
A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: application to small water clusters
-
Swope W.C., Andersen H.C., Berens P.H., and Wilson K.R. A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: application to small water clusters. J. Chem. Phys. 76 (1982) 637-649
-
(1982)
J. Chem. Phys.
, vol.76
, pp. 637-649
-
-
Swope, W.C.1
Andersen, H.C.2
Berens, P.H.3
Wilson, K.R.4
-
34
-
-
0004094896
-
-
Cambridge University Press, Cambridge, UK
-
Eriksson K., Estep D., Hansbo P., and Johnson C. Computational Differential Equations (1996), Cambridge University Press, Cambridge, UK
-
(1996)
Computational Differential Equations
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
35
-
-
0027851173
-
A general framework for interpreting time finite element formulations
-
Borri M., and Bottasso C. A general framework for interpreting time finite element formulations. Comput. Mech. 13 (1993) 133-142
-
(1993)
Comput. Mech.
, vol.13
, pp. 133-142
-
-
Borri, M.1
Bottasso, C.2
-
36
-
-
33646967528
-
The statistical mechanical theory of transport processes IV
-
Irving J.H., and Kirkwood J.G. The statistical mechanical theory of transport processes IV. J. Chem. Phys. 18 (1950) 817-829
-
(1950)
J. Chem. Phys.
, vol.18
, pp. 817-829
-
-
Irving, J.H.1
Kirkwood, J.G.2
-
37
-
-
22744452170
-
Conservation properties of a time FE method. Part IV: higher order energy and momentum conserving schemes
-
Groß M., Betsch P., and Steinmann P. Conservation properties of a time FE method. Part IV: higher order energy and momentum conserving schemes. Int. J. Numer. Methods Eng. 63 (2005) 1849-1897
-
(2005)
Int. J. Numer. Methods Eng.
, vol.63
, pp. 1849-1897
-
-
Groß, M.1
Betsch, P.2
Steinmann, P.3
-
38
-
-
0031334805
-
A new look at finite elements in time: a variational interpretation of Runge-Kutta methods
-
Bottasso C.L. A new look at finite elements in time: a variational interpretation of Runge-Kutta methods. Appl. Numer. Math. 25 (1997) 355-368
-
(1997)
Appl. Numer. Math.
, vol.25
, pp. 355-368
-
-
Bottasso, C.L.1
-
39
-
-
85190571989
-
One-step piecewise polynomial Galerkin methods for initial value problems
-
Hulme B.L. One-step piecewise polynomial Galerkin methods for initial value problems. Math. Comput. 76 (1982) 637-649
-
(1982)
Math. Comput.
, vol.76
, pp. 637-649
-
-
Hulme, B.L.1
-
44
-
-
0037197846
-
Simulating materials failure by using up to one billion atoms and the world's fastest computer: work-hardening
-
Abraham F.F., Walkup R., Gao H., Duchaineau M., Diaz de la Rubia T., and Seager M. Simulating materials failure by using up to one billion atoms and the world's fastest computer: work-hardening. Proc. Natl. Acad. Sci. USA 99 (2002) 5783-5787
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, pp. 5783-5787
-
-
Abraham, F.F.1
Walkup, R.2
Gao, H.3
Duchaineau, M.4
Diaz de la Rubia, T.5
Seager, M.6
-
45
-
-
0346408618
-
Reduction of the reflected pressure wave in the molecular-dynamics simulation of energetic particle-solid collisions
-
Moseler M., Nordiek J., and Haberland H. Reduction of the reflected pressure wave in the molecular-dynamics simulation of energetic particle-solid collisions. Phys. Rev. B 56 (1997) 15439-15445
-
(1997)
Phys. Rev. B
, vol.56
, pp. 15439-15445
-
-
Moseler, M.1
Nordiek, J.2
Haberland, H.3
-
47
-
-
0002162989
-
The cauchy and born hypothesis for crystals
-
Rieth M., and Shommers W. (Eds), Academic Press
-
Eriksen J.L. The cauchy and born hypothesis for crystals. In: Rieth M., and Shommers W. (Eds). Phase Transformations and Material Instabilities in Solids (1984), Academic Press
-
(1984)
Phase Transformations and Material Instabilities in Solids
-
-
Eriksen, J.L.1
-
50
-
-
0033100627
-
An adaptive finite element approach to atomic-scale mechanics - the quasicontinuum method
-
Shenoy V.B., Miller R., Tadmor E.B., Rodney D., Phillips R., and Ortiz M. An adaptive finite element approach to atomic-scale mechanics - the quasicontinuum method. J. Mech. Phys. Solids 47 (2002) 611
-
(2002)
J. Mech. Phys. Solids
, vol.47
, pp. 611
-
-
Shenoy, V.B.1
Miller, R.2
Tadmor, E.B.3
Rodney, D.4
Phillips, R.5
Ortiz, M.6
-
51
-
-
54949132501
-
A spacetime discontinuous Galerkin method for hyperbolic heat conduction
-
Miller S.T., and Haber R.B. A spacetime discontinuous Galerkin method for hyperbolic heat conduction. Comput. Methods Appl. Mech. Eng. 198 (2008) 194-209
-
(2008)
Comput. Methods Appl. Mech. Eng.
, vol.198
, pp. 194-209
-
-
Miller, S.T.1
Haber, R.B.2
-
53
-
-
84861158841
-
Modeling evolving discontinuities with spacetime discontinuous Galerkin methods
-
IUTAM Symposium on Discretization Methods for Evolving Discontinuities. Combescure A., de Borst R., and Belytschko T. (Eds), Springer
-
Abedi R., Chung S.-H., Hawker M.A., Palaniappan J., and Haber R.B. Modeling evolving discontinuities with spacetime discontinuous Galerkin methods. In: Combescure A., de Borst R., and Belytschko T. (Eds). IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Book Series vol. 5 (2007), Springer 59-87
-
(2007)
IUTAM Book Series
, vol.5
, pp. 59-87
-
-
Abedi, R.1
Chung, S.-H.2
Hawker, M.A.3
Palaniappan, J.4
Haber, R.B.5
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