-
1
-
-
0036040289
-
Phase-field simulation of solidification
-
DOI 10.1146/annurev.matsci.32.101901.155803
-
W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Annu. Rev. Mater. Res. 32, 163 (2002). 10.1146/annurev.matsci.32.101901.155803 (Pubitemid 34992569)
-
(2002)
Annual Review of Materials Science
, vol.32
, pp. 163-194
-
-
Boettinger, W.J.1
Warren, J.A.2
Beckermann, C.3
Karma, A.4
-
2
-
-
0036036465
-
Phase-field models for microstructure evolution
-
DOI 10.1146/annurev.matsci.32.112001.132041
-
L. Q. Chen, Annu. Rev. Mater. Res. 32, 113 (2002). 10.1146/annurev. matsci.32.112001.132041 (Pubitemid 34992567)
-
(2002)
Annual Review of Materials Science
, vol.32
, pp. 113-140
-
-
Chen, L.-Q.1
-
3
-
-
36049031815
-
-
in edited by S. Yip (Springer, Netherlands, 10.1007/978-1-4020-3286-8-107
-
A. Karma, in Handbook of Materials Modeling, edited by, S. Yip, (Springer, Netherlands, 2005), Vol. I, p. 2087. 10.1007/978-1-4020-3286-8-107
-
(2005)
Handbook of Materials Modeling
, vol.1
, pp. 2087
-
-
Karma, A.1
-
5
-
-
72549103535
-
-
10.1016/j.actamat.2009.10.041
-
Y. Wang and J. Li, Acta Mater. 58, 1212 (2010). 10.1016/j.actamat.2009. 10.041
-
(2010)
Acta Mater.
, vol.58
, pp. 1212
-
-
Wang, Y.1
Li, J.2
-
6
-
-
0036641463
-
Linking phase-field and atomistic simulations to model dendritic solidification in highly undercooled melts
-
DOI 10.1023/A:1015815928191
-
J. Bragard, A. Karma, Y. H. Lee, and M. Plapp, Interface Sci. 10, 121 (2002). 10.1023/A:1015815928191 (Pubitemid 34798775)
-
(2002)
Interface Science
, vol.10
, Issue.2-3
, pp. 121-136
-
-
Bragard, J.1
Karma, A.2
Lee, Y.H.3
Plapp, M.4
-
8
-
-
33746612480
-
Orientation selection in dendritic evolution
-
DOI 10.1038/nmat1693, PII NMAT1693
-
T. Haxhimali, A. Karma, F. Gonzales, and M. Rappaz, Nature Mater. 5, 660 (2006). 10.1038/nmat1693 (Pubitemid 44157685)
-
(2006)
Nature Materials
, vol.5
, Issue.8
, pp. 660-664
-
-
Haxhimali, T.1
Karma, A.2
Gonzales, F.3
Rappaz, M.4
-
9
-
-
59449087165
-
-
10.1016/j.actamat.2008.10.020
-
M. Asta, C. Beckermann, A. Karma, W. Kurz, M. Plapp, G. Purdy, M. Rappaz, and R. Trivedi, Acta Mater. 57, 941 (2009). 10.1016/j.actamat.2008.10.020
-
(2009)
Acta Mater.
, vol.57
, pp. 941
-
-
Asta, M.1
Beckermann, C.2
Karma, A.3
Kurz, W.4
Plapp, M.5
Purdy, G.6
Rappaz, M.7
Trivedi, R.8
-
10
-
-
4243457001
-
-
10.1103/PhysRevE.57.4323
-
A. Karma and W.-J. Rappel, Phys. Rev. E 57, 4323 (1998). 10.1103/PhysRevE.57.4323
-
(1998)
Phys. Rev. e
, vol.57
, pp. 4323
-
-
Karma, A.1
Rappel, W.-J.2
-
11
-
-
39249084129
-
-
10.1103/PhysRevLett.87.115701
-
A. Karma, Phys. Rev. Lett. 87, 115701 (2001). 10.1103/PhysRevLett.87. 115701
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 115701
-
-
Karma, A.1
-
12
-
-
37649029615
-
Quantitative phase-field model of alloy solidification
-
DOI 10.1103/PhysRevE.70.061604, 061604, 6 1
-
B. Echebarria, R. Folch, A. Karma, and M. Plapp, Phys. Rev. E 70, 061604 (2004). 10.1103/PhysRevE.70.061604 (Pubitemid 40219639)
-
(2004)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.70
, pp. 0616041-06160422
-
-
Echebarria, B.1
Folch, R.2
Karma, A.3
Plapp, M.4
-
14
-
-
0242523143
-
-
10.1016/S1359-6454(03)00388-4
-
J. A. Warren, R. Kobayashi, A. E. Lobovsky, and W. C. Carter, Acta Mater. 51, 6035 (2003). 10.1016/S1359-6454(03)00388-4
-
(2003)
Acta Mater.
, vol.51
, pp. 6035
-
-
Warren, J.A.1
Kobayashi, R.2
Lobovsky, A.E.3
Carter, W.C.4
-
15
-
-
0037124649
-
-
10.1103/PhysRevLett.88.245701
-
K. R. Elder, M. Katakowski, M. Haataja, and M. Grant, Phys. Rev. Lett. 88, 245701 (2002). 10.1103/PhysRevLett.88.245701
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 245701
-
-
Elder, K.R.1
Katakowski, M.2
Haataja, M.3
Grant, M.4
-
16
-
-
37649031748
-
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals
-
DOI 10.1103/PhysRevE.70.051605, 051605, 5 1
-
K. R. Elder and M. Grant, Phys. Rev. E 70, 051605 (2004). 10.1103/PhysRevE.70.051605 (Pubitemid 40086502)
-
(2004)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.70
, pp. 0516051-05160518
-
-
Elder, K.R.1
Grant, M.2
-
17
-
-
33745039752
-
Phase-field crystals with elastic interactions
-
DOI 10.1103/PhysRevLett.96.225504
-
P. M. Stefanovic, M. Haataja, and N. Provatas, Phys. Rev. Lett. 96, 225504 (2006). 10.1103/PhysRevLett.96.225504 (Pubitemid 43877281)
-
(2006)
Physical Review Letters
, vol.96
, Issue.22
, pp. 225504
-
-
Stefanovic, P.1
Haataja, M.2
Provatas, N.3
-
19
-
-
33847061654
-
-
10.1103/PhysRevB.75.064107
-
K. R. Elder, N. Provatas, J. Berry, P. Stefanovic, and M. Grant, Phys. Rev. B 75, 064107 (2007). 10.1103/PhysRevB.75.064107
-
(2007)
Phys. Rev. B
, vol.75
, pp. 064107
-
-
Elder, K.R.1
Provatas, N.2
Berry, J.3
Stefanovic, P.4
Grant, M.5
-
20
-
-
47049089393
-
-
10.1007/s11837-007-0095-3
-
N. Provatas, J. Dantzig, B. Athreya, P. Chan, P. Stefanovic, N. Goldenfeld, and K. Elder, JOM 59 (7), 83 (2007). 10.1007/s11837-007-0095-3
-
(2007)
JOM
, vol.59
, Issue.7
, pp. 83
-
-
Provatas, N.1
Dantzig, J.2
Athreya, B.3
Chan, P.4
Stefanovic, P.5
Goldenfeld, N.6
Elder, K.7
-
23
-
-
70350731190
-
-
10.1103/PhysRevB.80.125408
-
K.-A. Wu and P. W. Voorhees, Phys. Rev. B 80, 125408 (2009). 10.1103/PhysRevB.80.125408
-
(2009)
Phys. Rev. B
, vol.80
, pp. 125408
-
-
Wu, K.-A.1
Voorhees, P.W.2
-
24
-
-
70349484925
-
-
10.1103/PhysRevE.80.031602
-
A. Jaatinen, C. V. Achim, K. R. Elder, and T. Ala-Nissila, Phys. Rev. E 80, 031602 (2009). 10.1103/PhysRevE.80.031602
-
(2009)
Phys. Rev. e
, vol.80
, pp. 031602
-
-
Jaatinen, A.1
Achim, C.V.2
Elder, K.R.3
Ala-Nissila, T.4
-
28
-
-
0014560133
-
-
10.1017/S0022112069000127
-
L. Segel, J. Fluid Mech. 38, 203 (1969). 10.1017/S0022112069000127
-
(1969)
J. Fluid Mech.
, vol.38
, pp. 203
-
-
Segel, L.1
-
31
-
-
4043104419
-
-
10.1103/PhysRevLett.76.2185
-
R. Graham, Phys. Rev. Lett. 76, 2185 (1996). 10.1103/PhysRevLett.76.2185
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 2185
-
-
Graham, R.1
-
32
-
-
29444431573
-
-
10.1103/PhysRevLett.80.3888
-
R. Graham, Phys. Rev. Lett. 80, 3888 (1998). 10.1103/PhysRevLett.80.3888
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 3888
-
-
Graham, R.1
-
34
-
-
53149108176
-
-
10.1103/PhysRevLett.80.3887
-
R. Graham, Phys. Rev. Lett. 80, 3887 (1998). 10.1103/PhysRevLett.80.3887
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 3887
-
-
Graham, R.1
-
35
-
-
27344443572
-
Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
-
DOI 10.1103/PhysRevE.72.020601, 020601
-
N. Goldenfeld, B. P. Athreya, and J. A. Dantzig, Phys. Rev. E 72, 020601 (R) (2005). 10.1103/PhysRevE.72.020601 (Pubitemid 41522010)
-
(2005)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.72
, Issue.2
, pp. 1-4
-
-
Goldenfeld, N.1
Athreya, B.P.2
Dantzig, J.A.3
-
36
-
-
33746363853
-
Renormalization-group theory for the phase-field crystal equation
-
DOI 10.1103/PhysRevE.74.011601
-
B. P. Athreya, N. Goldenfeld, and J. A. Dantzig, Phys. Rev. E 74, 011601 (2006). 10.1103/PhysRevE.74.011601 (Pubitemid 44109251)
-
(2006)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.74
, Issue.1
, pp. 011601
-
-
Athreya, B.P.1
Goldenfeld, N.2
Dantzig, J.A.3
-
37
-
-
36248978164
-
Adaptive mesh computation of polycrystalline pattern formation using a renormalization-group reduction of the phase-field crystal model
-
DOI 10.1103/PhysRevE.76.056706
-
B. P. Athreya, N. Goldenfeld, J. A. Dantzig, M. Greenwood, and N. Provatas, Phys. Rev. E 76, 056706 (2007). 10.1103/PhysRevE.76.056706 (Pubitemid 350130134)
-
(2007)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.76
, Issue.5
, pp. 056706
-
-
Athreya, B.P.1
Goldenfeld, N.2
Dantzig, J.A.3
Greenwood, M.4
Provatas, N.5
-
38
-
-
58949096127
-
-
10.1103/PhysRevE.79.013601
-
Y. Shiwa, Phys. Rev. E 79, 013601 (2009). 10.1103/PhysRevE.79.013601
-
(2009)
Phys. Rev. e
, vol.79
, pp. 013601
-
-
Shiwa, Y.1
-
40
-
-
75349112414
-
-
10.1103/PhysRevE.80.065105
-
P. Y. Chan and N. Goldenfeld, Phys. Rev. E 80, 065105 (R) (2009). 10.1103/PhysRevE.80.065105
-
(2009)
Phys. Rev. e
, vol.80
, pp. 065105
-
-
Chan, P.Y.1
Goldenfeld, N.2
-
42
-
-
36049014308
-
-
10.1103/PhysRevB.76.184107
-
K.-A. Wu and A. Karma, Phys. Rev. B 76, 184107 (2007). 10.1103/PhysRevB.76.184107
-
(2007)
Phys. Rev. B
, vol.76
, pp. 184107
-
-
Wu, K.-A.1
Karma, A.2
-
43
-
-
5544229221
-
-
10.1103/PhysRevE.49.2245
-
A. Karma, Phys. Rev. E 49, 2245 (1994). 10.1103/PhysRevE.49.2245
-
(1994)
Phys. Rev. e
, vol.49
, pp. 2245
-
-
Karma, A.1
-
44
-
-
27244461425
-
-
10.1103/PhysRevLett.72.677
-
K. R. Elder, F. Drolet, J. M. Kosterlitz, and M. Grant, Phys. Rev. Lett. 72, 677 (1994). 10.1103/PhysRevLett.72.677
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 677
-
-
Elder, K.R.1
Drolet, F.2
Kosterlitz, J.M.3
Grant, M.4
-
45
-
-
0000996341
-
-
10.1103/PhysRevA.35.2611
-
W. H. Shih, Z. Q. Wang, X. C. Zeng, and D. Stroud, Phys. Rev. A 35, 2611 (1987). 10.1103/PhysRevA.35.2611
-
(1987)
Phys. Rev. A
, vol.35
, pp. 2611
-
-
Shih, W.H.1
Wang, Z.Q.2
Zeng, X.C.3
Stroud, D.4
-
46
-
-
0039926830
-
-
10.1080/01418619608239686
-
A. G. Khachaturyan, Philos. Mag. A 74, 3 (1996). 10.1080/ 01418619608239686
-
(1996)
Philos. Mag. A
, vol.74
, pp. 3
-
-
Khachaturyan, A.G.1
-
47
-
-
38849167342
-
-
10.1103/PhysRevB.77.054101
-
G. Pruessner and A. P. Sutton, Phys. Rev. B 77, 054101 (2008). 10.1103/PhysRevB.77.054101
-
(2008)
Phys. Rev. B
, vol.77
, pp. 054101
-
-
Pruessner, G.1
Sutton, A.P.2
-
48
-
-
33644642345
-
Ginzburg-Landau theory of crystalline anisotropy for bcc-liquid interfaces
-
DOI 10.1103/PhysRevB.73.094101, 094101
-
K.-A. Wu, A. Karma, J. J. Hoyt, and M. Asta, Phys. Rev. B 73, 094101 (2006). 10.1103/PhysRevB.73.094101 (Pubitemid 43327457)
-
(2006)
Physical Review B - Condensed Matter and Materials Physics
, vol.73
, Issue.9
, pp. 1-7
-
-
Wu, K.-A.1
Karma, A.2
Hoyt, J.J.3
Asta, M.4
-
52
-
-
0032160945
-
-
10.1103/PhysRevE.58.3436
-
N. A. Ahmad, A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phys. Rev. E 58, 3436 (1998). 10.1103/PhysRevE.58.3436
-
(1998)
Phys. Rev. e
, vol.58
, pp. 3436
-
-
Ahmad, N.A.1
Wheeler, A.A.2
Boettinger, W.J.3
McFadden, G.B.4
-
53
-
-
0022035026
-
Interactions of composition and stress in crystalline solids
-
DOI 10.1016/0001-6160(85)90077-X
-
F. C. Larché and J. W. Cahn, Acta Metall. 33, 331 (1985). 10.1016/0001-6160(85)90077-X (Pubitemid 15560394)
-
(1985)
Acta Metallurgica
, vol.33
, Issue.3
, pp. 331-357
-
-
Larche, F.C.1
Cahn, J.W.2
-
54
-
-
27844583800
-
-
10.1007/BF01349680
-
L. Vegard, Z. Phys. 5, 17 (1921). 10.1007/BF01349680
-
(1921)
Z. Phys.
, vol.5
, pp. 17
-
-
Vegard, L.1
-
58
-
-
0001307483
-
-
10.1051/jp1:1993108
-
P. Nozières, J. Phys. I 3, 681 (1993). 10.1051/jp1:1993108
-
(1993)
J. Phys. i
, vol.3
, pp. 681
-
-
Nozières, P.1
-
59
-
-
35448975492
-
Influence of stress on interface kinetics
-
DOI 10.1080/09500830701416618, PII 783050553
-
R. Spatschek and M. Fleck, Philos. Mag. Lett. 87, 909 (2007). 10.1080/09500830701416618 (Pubitemid 47621511)
-
(2007)
Philosophical Magazine Letters
, vol.87
, Issue.11
, pp. 909-914
-
-
Spatschek, R.1
Fleck, M.2
-
61
-
-
70350733578
-
-
10.1209/0295-5075/28/4/005
-
K. Kassner and C. Misbah, Europhys. Lett. 28, 245 (1994). 10.1209/0295-5075/28/4/005
-
(1994)
Europhys. Lett.
, vol.28
, pp. 245
-
-
Kassner, K.1
Misbah, C.2
-
63
-
-
17444430320
-
-
10.1103/PhysRev.78.275
-
W. T. Read and W. Shockley, Phys. Rev. 78, 275 (1950). 10.1103/PhysRev.78.275
-
(1950)
Phys. Rev.
, vol.78
, pp. 275
-
-
Read, W.T.1
Shockley, W.2
-
64
-
-
61949303337
-
-
10.1103/PhysRevE.79.020601
-
J. J. Hoyt, D. Olmsted, S. Jindal, M. Asta, and A. Karma, Phys. Rev. E 79, 020601 (R) (2009). 10.1103/PhysRevE.79.020601
-
(2009)
Phys. Rev. e
, vol.79
, pp. 020601
-
-
Hoyt, J.J.1
Olmsted, D.2
Jindal, S.3
Asta, M.4
Karma, A.5
-
66
-
-
0037154070
-
On the mechanisms of grain boundary migration
-
DOI 10.1016/S1359-6454(01)00343-3, PII S1359645401003433
-
M. Winning, G. Gottstein, and L. S. Shvindlerman, Acta Mater. 50, 353 (2002). 10.1016/S1359-6454(01)00343-3 (Pubitemid 34040553)
-
(2002)
Acta Materialia
, vol.50
, Issue.2
, pp. 353-363
-
-
Winning, M.1
Gottstein, G.2
Shvindlerman, L.S.3
-
67
-
-
29644444386
-
-
10.1016/j.actamat.2005.03.005
-
M. Winning and A. D. Rollett, Acta Mater. 53, 2901 (2005). 10.1016/j.actamat.2005.03.005
-
(2005)
Acta Mater.
, vol.53
, pp. 2901
-
-
Winning, M.1
Rollett, A.D.2
-
69
-
-
38849188518
-
Stress-driven surface topography evolution in nanocrystalline al thin films
-
DOI 10.1002/adma.200701607
-
D. S. Gianola, C. Eberl, X. Cheng, and K. J. Hemker, Adv. Mater. 20, 303 (2008). 10.1002/adma.200701607 (Pubitemid 351205708)
-
(2008)
Advanced Materials
, vol.20
, Issue.2
, pp. 303-308
-
-
Gianola, D.S.1
Eben, C.2
Cheng, X.3
Hemker, K.J.4
-
70
-
-
4243092655
-
-
10.1016/j.actamat.2004.02.048
-
J. W. Cahn and J. E. Taylor, Acta Mater. 52, 4887 (2004). 10.1016/j.actamat.2004.02.048
-
(2004)
Acta Mater.
, vol.52
, pp. 4887
-
-
Cahn, J.W.1
Taylor, J.E.2
-
71
-
-
33745640516
-
Duality of dislocation content of grain boundaries
-
DOI 10.1080/14786430500536909, PII W1164024275421
-
J. W. Cahn, Y. Mishin, and A. Suzuki, Philos. Mag. 86, 3965 (2006). 10.1080/14786430500536909 (Pubitemid 43970623)
-
(2006)
Philosophical Magazine
, vol.86
, Issue.25-26
, pp. 3965-3980
-
-
Cahn, J.W.1
Mishin, Y.2
Suzuki, A.3
-
72
-
-
33750008736
-
Coupling grain boundary motion to shear deformation
-
DOI 10.1016/j.actamat.2006.08.004, PII S1359645406005313
-
J. W. Cahn, Y. Mishin, and A. Suzuki, Acta Mater. 54, 4953 (2006). 10.1016/j.actamat.2006.08.004 (Pubitemid 44572918)
-
(2006)
Acta Materialia
, vol.54
, Issue.19
, pp. 4953-4975
-
-
Cahn, J.W.1
Mishin, Y.2
Suzuki, A.3
-
73
-
-
72549099367
-
-
10.1016/j.actamat.2009.10.049
-
Y. Mishin, M. Asta, and J. Li, Acta Mater. 58, 1117 (2010). 10.1016/j.actamat.2009.10.049
-
(2010)
Acta Mater.
, vol.58
, pp. 1117
-
-
Mishin, Y.1
Asta, M.2
Li, J.3
-
74
-
-
0002649119
-
-
in edited by K. H. J. Buschow, R. W. Cahn, M. C. Flemings, B. Ilschner, E. J. Kramer, and S. Mahajian (Elsevier, Oxford
-
A. Karma, in Encyclopedia of Materials: Science and Technology, edited by, K. H. J. Buschow,,, R. W. Cahn,,, M. C. Flemings,,, B. Ilschner,,, E. J. Kramer,, and, S. Mahajian, (Elsevier, Oxford, 2001), Vol. 7, p. 873.
-
(2001)
Encyclopedia of Materials: Science and Technology
, vol.7
, pp. 873
-
-
Karma, A.1
-
75
-
-
1442328893
-
-
10.1080/14786430310001613264
-
M. I. Mendelev, S. Han, D. J. Srolovitz, G. J. Ackland, D. Y. Sun, and M. Asta, Philos. Mag. 83, 3977 (2003). 10.1080/14786430310001613264
-
(2003)
Philos. Mag.
, vol.83
, pp. 3977
-
-
Mendelev, M.I.1
Han, S.2
Srolovitz, D.J.3
Ackland, G.J.4
Sun, D.Y.5
Asta, M.6
-
77
-
-
0038732466
-
-
10.1103/PhysRevE.67.016112
-
E. A. Brener and R. Spatschek, Phys. Rev. E 67, 016112 (2003). 10.1103/PhysRevE.67.016112
-
(2003)
Phys. Rev. e
, vol.67
, pp. 016112
-
-
Brener, E.A.1
Spatschek, R.2
-
78
-
-
32644464441
-
Phase field modeling of fast crack propagation
-
DOI 10.1103/PhysRevLett.96.015502
-
R. Spatschek, M. Hartmann, E. Brener, H. Müller-Krumbhaar, and K. Kassner, Phys. Rev. Lett. 96, 015502 (2006). 10.1103/PhysRevLett.96.015502 (Pubitemid 43248366)
-
(2006)
Physical Review Letters
, vol.96
, Issue.1
, pp. 015502
-
-
Spatschek, R.1
Hartmann, M.2
Brener, E.3
Muller-Krumbhaar, H.4
Kassner, K.5
-
79
-
-
34547281948
-
Phase field modeling of fracture and stress-induced phase transitions
-
DOI 10.1103/PhysRevE.75.066111
-
R. Spatschek, C. Müller-Gugenberger, E. Brener, and B. Nestler, Phys. Rev. E 75, 066111 (2007). 10.1103/PhysRevE.75.066111 (Pubitemid 47140208)
-
(2007)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.75
, Issue.6
, pp. 066111
-
-
Spatschek, R.1
Muller-Gugenberger, C.2
Brener, E.3
Nestler, B.4
-
81
-
-
0004161838
-
-
3rd ed. (Cambridge University Press, New York
-
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd ed. (Cambridge University Press, New York, 2007).
-
(2007)
Numerical Recipes: The Art of Scientific Computing
-
-
Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
|