-
1
-
-
0032534356
-
"Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture"
-
EULEEJ0295-507510.1209/epl/i1998-00536-9
-
Abraham, F. F., Broughton, J. Q., Bernstein, N., and Kaxiras, E. (1998). "Spanning the continuum to quantum length scales in a dynamic simulation of brittle fracture." Europhys. Lett. EULEEJ0295-507510.1209/epl/i1998-00536-9, 44(6), 783-787.
-
(1998)
Europhys. Lett.
, vol.44
, Issue.6
, pp. 783-787
-
-
Abraham, F.F.1
Broughton, J.Q.2
Bernstein, N.3
Kaxiras, E.4
-
2
-
-
36749113534
-
"Generalized Langevin equation approach for atom/solid surface scattering: General formulation for classical scattering off harmonic solids"
-
JCPSA60021-960610.1063/1.432526
-
Adelman, S. A., and Doll, J. D. (1976). "Generalized Langevin equation approach for atom/solid surface scattering: General formulation for classical scattering off harmonic solids." J. Chem. Phys. JCPSA60021-960610.1063/1.432526, 64, 2375-2388.
-
(1976)
J. Chem. Phys.
, vol.64
, pp. 2375-2388
-
-
Adelman, S.A.1
Doll, J.D.2
-
3
-
-
1842746029
-
"Coupling methods for continuum model with molecular model"
-
ZZZZZZ1543-1649
-
Belytsckko, T., and Xiao, S. P. (2003). "Coupling methods for continuum model with molecular model." Int. J. Multiscale Comp. Eng. ZZZZZZ1543-1649, 1, 115-126.
-
(2003)
Int. J. Multiscale Comp. Eng.
, vol.1
, pp. 115-126
-
-
Belytsckko, T.1
Xiao, S.P.2
-
4
-
-
17244374413
-
"Concurrent coupling of length scales: Methodology and applications"
-
PRBMDO0163-182910.1103/PhysRevB.60.2391
-
Broughton, J. Q., Abraham, F. F., Bernstein, N., and Kaxiras, E. (1999). "Concurrent coupling of length scales: Methodology and applications." Phys. Rev. B PRBMDO0163-182910.1103/ PhysRevB.60.2391, 60, 2391-2402.
-
(1999)
Phys. Rev. B
, vol.60
, pp. 2391-2402
-
-
Broughton, J.Q.1
Abraham, F.F.2
Bernstein, N.3
Kaxiras, E.4
-
5
-
-
0034300238
-
"Minimizing boundary reflections in coupled-domain simulations"
-
PRLTAO0031-900710.1103/PhysRevLett.85.3213
-
Cai, W., de Koning, M., Bulatov, V. V., and Yip, S. (2000). "Minimizing boundary reflections in coupled-domain simulations." Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.85.3213, 85(15), 3213-3216.
-
(2000)
Phys. Rev. Lett.
, vol.85
, Issue.15
, pp. 3213-3216
-
-
Cai, W.1
de Koning, M.2
Bulatov, V.V.3
Yip, S.4
-
6
-
-
32044451562
-
"Local stress and heat flux in atomistic systems involving three-body forces"
-
JCPSA60021-960610.1063/1.2166387
-
Chen, Y. (2006). "Local stress and heat flux in atomistic systems involving three-body forces." J. Chem. Phys. JCPSA60021-960610.1063/ 1.2166387, 124, 054113.
-
(2006)
J. Chem. Phys.
, vol.124
, pp. 054113
-
-
Chen, Y.1
-
7
-
-
31444446170
-
"Atomistic formulation of a multiscale theory for nano/micro physics"
-
PMHABF1478-643510.1080/14786430500362595
-
Chen, Y., and Lee, J. D. (2005). "Atomistic formulation of a multiscale theory for nano/micro physics." Philos. Mag. PMHABF1478-643510.1080/14786430500362595, 85, 4095-4126.
-
(2005)
Philos. Mag.
, vol.85
, pp. 4095-4126
-
-
Chen, Y.1
Lee, J.D.2
-
8
-
-
34547459932
-
"Conservation laws at nano/micro scales"
-
ZZZZZZ1559-3959
-
Chen, Y., and Lee, J. D. (2006). "Conservation laws at nano/micro scales." J. Mech. Mater. Struct. ZZZZZZ1559-3959, 1, 681-704.
-
(2006)
J. Mech. Mater. Struct.
, vol.1
, pp. 681-704
-
-
Chen, Y.1
Lee, J.D.2
-
9
-
-
84890140314
-
"A multiscale field theory: Nano/micro materials"
-
G. C. Sih, ed., Springer, New York
-
Chen, Y., Lee, J. D., Lei, Y., and Xiong, L. (2006a). "A multiscale field theory: Nano/micro materials." Multiscaling in molecular and continuum mechanics, G. C. Sih, ed., Springer, New York, 23-65.
-
(2006)
Multiscaling in Molecular and Continuum Mechanics
, pp. 23-65
-
-
Chen, Y.1
Lee, J.D.2
Lei, Y.3
Xiong, L.4
-
10
-
-
34547409175
-
"Stresses and strains at nano/micro scales"
-
ZZZZZZ1559-3959
-
Chen, Y., Lee, J. D., and Xiong, L. (2006b). "Stresses and strains at nano/micro scales." J. Mech. Mater. Struct. ZZZZZZ1559-3959, 1, 705-723.
-
(2006)
J. Mech. Mater. Struct.
, vol.1
, pp. 705-723
-
-
Chen, Y.1
Lee, J.D.2
Xiong, L.3
-
11
-
-
36449003769
-
"Atomic-level stress in an inhomogeneous system"
-
JAPIAU0021-897910.1063/1.350186
-
Cheung, K. S., and Yip, S. (1991). "Atomic-level stress in an inhomogeneous system." J. Appl. Phys. JAPIAU0021-897910.1063/ 1.350186, 70(10), 5688-5690.
-
(1991)
J. Appl. Phys.
, vol.70
, Issue.10
, pp. 5688-5690
-
-
Cheung, K.S.1
Yip, S.2
-
12
-
-
0038579633
-
"Atomistic/continuum coupling in computational materials science"
-
MSMEEU0965-039310.1088/0965-0393/11/3/201
-
Curtin, W. A., and Miller, R. E. (2003). "Atomistic/continuum coupling in computational materials science." Modell. Simul. Mater. Sci. Eng. MSMEEU0965-039310.1088/0965-0393/11/3/201, 11, R33-R68.
-
(2003)
Modell. Simul. Mater. Sci. Eng.
, vol.11
-
-
Curtin, W.A.1
Miller, R.E.2
-
13
-
-
1542469206
-
"Generalized Langevin equation approach for atom/solid surface scattering: Numerical techniques for Gaussian generalized Langevin dynamics"
-
JCPSA60021-960610.1063/1.433565
-
Doll, J. R., and Dion, D. R. (1976). "Generalized Langevin equation approach for atom/solid surface scattering: Numerical techniques for Gaussian generalized Langevin dynamics." J. Chem. Phys. JCPSA60021-960610.1063/1.433565, 65, 3762-3766.
-
(1976)
J. Chem. Phys.
, vol.65
, pp. 3762-3766
-
-
Doll, J.R.1
Dion, D.R.2
-
15
-
-
27144540906
-
"Finite temperature quasicontinuum: Molecular dynamics without all the atoms"
-
PRLTAO0031-900710.1103/PhysRevLett.95.060202
-
Dupuy, L. M., Tadmor, E. B., Miller, R. E., and Phillips, R. (2005). "Finite temperature quasicontinuum: Molecular dynamics without all the atoms." Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.95.060202, 95, 060202.
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 060202
-
-
Dupuy, L.M.1
Tadmor, E.B.2
Miller, R.E.3
Phillips, R.4
-
16
-
-
34548474934
-
"The heterogeneous multiscale method: A review"
-
E W ZZZZZZ1815-2406
-
E, W., Engquist, B., Li, X., Ren, W., and Vanden-Eijnden, E. (2007). "The heterogeneous multiscale method: A review." Comm. Comp. Phys. ZZZZZZ1815-2406, 2(3), 367-450.
-
(2007)
Comm. Comp. Phys.
, vol.2
, Issue.3
, pp. 367-450
-
-
Engquist, B.1
Li, X.2
Ren, W.3
Vanden-Eijnden, E.4
-
17
-
-
42749099174
-
"Matching conditions in atomistic-continuum modeling of materials"
-
E W. PRLTAO0031-900710.1103/PhysRevLett.87.135501
-
E, W., and Huang, Z. (2001). "Matching conditions in atomistic-continuum modeling of materials." Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.87.135501, 87, 135501.
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 135501
-
-
Huang, Z.1
-
18
-
-
0037058026
-
"A dynamic atomistic-continuum method for the simulation of crystalline materials"
-
E W. JCTPAH0021-999110.1006/jcph.2002.7164
-
E, W., and Huang, Z. (2002). "A dynamic atomistic-continuum method for the simulation of crystalline materials." J. Comput. Phys. JCTPAH0021-999110.1006/jcph.2002.7164, 182, 234-261.
-
(2002)
J. Comput. Phys.
, vol.182
, pp. 234-261
-
-
Huang, Z.1
-
20
-
-
36749107929
-
"Formulas for determining local properties in molecular-dynamics simulations: Shock waves"
-
JCPSA60021-960610.1063/1.442714
-
Hardy, R. J. (1982). "Formulas for determining local properties in molecular-dynamics simulations: Shock waves." J. Chem. Phys. JCPSA60021-960610.1063/1.442714, 76(1), 622-628.
-
(1982)
J. Chem. Phys.
, vol.76
, Issue.1
, pp. 622-628
-
-
Hardy, R.J.1
-
21
-
-
0016966894
-
"Postprocessing of finite-element transient response calculations by digital filters"
-
CMSTCJ0045-7949
-
Holmes, N., and Belytschko, T. (1976). "Postprocessing of finite-element transient response calculations by digital filters." Comput. Struct. CMSTCJ0045-7949, 6, 211-216.
-
(1976)
Comput. Struct.
, vol.6
, pp. 211-216
-
-
Holmes, N.1
Belytschko, T.2
-
22
-
-
33646967528
-
"The statistical theory of transport processes. IV: The equations of hydrodynamics"
-
JCPSA60021-960610.1063/1.1747782
-
Irvine, J. H., and Kirkwood, J. G. (1950). "The statistical theory of transport processes. IV: The equations of hydrodynamics." J. Chem. Phys. JCPSA60021-960610.1063/1.1747782, 18, 817-829.
-
(1950)
J. Chem. Phys.
, vol.18
, pp. 817-829
-
-
Irvine, J.H.1
Kirkwood, J.G.2
-
23
-
-
0020343045
-
"The elasticity of periclase to 3GPa and some geophysical implications"
-
S. Akimoto and M. H. Manghnani, eds., Centre for Academic Publications, Boston
-
Jackson, I., and Niesler, H. (1982). "The elasticity of periclase to 3GPa and some geophysical implications." Advances in earth and planetary sciences 12, high-pressure research in geophysics." S. Akimoto and M. H. Manghnani, eds., Centre for Academic Publications, Boston, 93-113.
-
(1982)
Advances in Earth and Planetary Sciences 12, High-pressure Research in Geophysics"
, pp. 93-113
-
-
Jackson, I.1
Niesler, H.2
-
24
-
-
14844316289
-
"A Green's function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations"
-
IJNMBH0029-598110.1002/nme.1234
-
Karpov, E. G., Wagner, G. J., and Liu, W. K. (2005). "A Green's function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations." Int. J. Numer. Methods Eng. IJNMBH0029-598110.1002/nme.1234, 62(9), 1250-1262.
-
(2005)
Int. J. Numer. Methods Eng.
, vol.62
, Issue.9
, pp. 1250-1262
-
-
Karpov, E.G.1
Wagner, G.J.2
Liu, W.K.3
-
25
-
-
0035451516
-
"An analysis of the quasicontinuum method"
-
JMPSA80022-509610.1016/S0022-5096(01)00034-5
-
Knap, J., and Ortiz, M. (2001). "An analysis of the quasicontinuum method." J. Mech. Phys. Solids JMPSA80022-509610.1016/ S0022-5096(01)00034-5, 49, 1899-1923.
-
(2001)
J. Mech. Phys. Solids
, vol.49
, pp. 1899-1923
-
-
Knap, J.1
Ortiz, M.2
-
26
-
-
18544383450
-
"Multiscale modeling of dynamics of solids at finite temperature"
-
E W JMPSA80022-509610.1016/j.jmps.2005.01.008
-
Li, X., and E, W. (2005). "Multiscale modeling of dynamics of solids at finite temperature." J. Mech. Phys. Solids JMPSA80022-509610.1016/j.jmps.2005.01.008, 53, 1650-1685.
-
(2005)
J. Mech. Phys. Solids
, vol.53
, pp. 1650-1685
-
-
Li, X.1
-
27
-
-
1842787615
-
"The atomic-scale finite-element method"
-
CMMECC0045-782510.1016/j.cma.2003.12.037
-
Liu, B., Huang, Y., Jiang, H., Qu, S., and Hwang, K. C. (2004). "The atomic-scale finite-element method." Comput. Methods Appl. Mech. Eng. CMMECC0045-782510.1016/j.cma.2003.12.037, 193, 1849-1864.
-
(2004)
Comput. Methods Appl. Mech. Eng.
, vol.193
, pp. 1849-1864
-
-
Liu, B.1
Huang, Y.2
Jiang, H.3
Qu, S.4
Hwang, K.C.5
-
28
-
-
0037907509
-
"Elastic moduli data for polycrystalline ceramics"
-
National Institute of Standards and Technology, Gaithersburg, Md
-
Munro, R. G. (2002). "Elastic moduli data for polycrystalline ceramics." NISTIR 6853, National Institute of Standards and Technology, Gaithersburg, Md.
-
(2002)
NISTIR 6853
-
-
Munro, R.G.1
-
29
-
-
0035559866
-
"Concurrent multiscale modeling of embedded nanomechanics"
-
MRSPDH0272-9172
-
Rudd, R. E. (2001). "Concurrent multiscale modeling of embedded nanomechanics." Mater. Res. Soc. Symp. Proc. MRSPDH0272-9172, 677, AA1.6.1-AA1.6.12.
-
(2001)
Mater. Res. Soc. Symp. Proc.
, vol.677
-
-
Rudd, R.E.1
-
30
-
-
0001259264
-
"Coarse-grained molecular dynamics and the atomic limit of finite element"
-
PRBMDO0163-182910.1103/PhysRevB.58.R5893
-
Rudd, R. E., and Broughton, J. Q. (1998). "Coarse-grained molecular dynamics and the atomic limit of finite element." Phys. Rev. BPRBMDO0163-182910.1103/PhysRevB.58.R5893, 58, R5893-R5896.
-
(1998)
Phys. Rev. B
, vol.58
-
-
Rudd, R.E.1
Broughton, J.Q.2
-
31
-
-
0034339381
-
"Concurrent coupling of length scales in solid state systems"
-
PSSBBD0370-197210.1002/ (SICI)1521-3951(200001)217:1<251::AID-PSSB251>3.3.CO;2-1
-
Rudd, R. E., and Broughton, J. Q. (2000). "Concurrent coupling of length scales in solid state systems." Phys. Status Solidi BPSSBBD0370-197210.1002/ (SICI)1521-3951(200001)217:1<251::AID-PSSB251>3.3.CO;2-1, 217, 251-291.
-
(2000)
Phys. Status Solidi B
, vol.217
, pp. 251-291
-
-
Rudd, R.E.1
Broughton, J.Q.2
-
32
-
-
0033100627
-
"An adaptive methodology for atomic scale mechanics: The quasicontinuum method"
-
JMPSA80022-509610.1016/S0022-5096(98)00051-9
-
Shenoy, V. B., Miller, R., Tadmor, E. B., Rodney, D., Phillips, R., and Ortiz, M. (1998). "An adaptive methodology for atomic scale mechanics: The quasicontinuum method." J. Mech. Phys. Solids JMPSA80022-509610.1016/S0022-5096(98)00051-9, 47, 611-642.
-
(1998)
J. Mech. Phys. Solids
, vol.47
, pp. 611-642
-
-
Shenoy, V.B.1
Miller, R.2
Tadmor, E.B.3
Rodney, D.4
Phillips, R.5
Ortiz, M.6
-
33
-
-
0030158774
-
"Quasicontinuum analysis of defects in solids"
-
PMAADG0141-861010.1080/01418619608243000
-
Tadmor, E. B., Ortiz, M., and Phillips, R. (1996). "Quasicontinuum analysis of defects in solids." Philos. Mag. A PMAADG0141-861010.1080/01418619608243000, 73, 1529-1563.
-
(1996)
Philos. Mag. A
, vol.73
, pp. 1529-1563
-
-
Tadmor, E.B.1
Ortiz, M.2
Phillips, R.3
-
34
-
-
33749233527
-
"Perfectly matched multiscale simulations"
-
PRBMDO0163-182910.1103/PhysRevB.72.035414
-
To, A. C., and Li, S. (2005). "Perfectly matched multiscale simulations." Phys. Rev. B PRBMDO0163-182910.1103/ PhysRevB.72.035414, 72(3), 035414.
-
(2005)
Phys. Rev. B
, vol.72
, Issue.3
, pp. 035414
-
-
To, A.C.1
Li, S.2
-
35
-
-
0042858270
-
"Coupling of atomistic and continuum simulations using a bridging scale decomposition"
-
JCTPAH0021-999110.1016/S0021-9991(03)00273-0
-
Wagner, G. J., and Liu, W. K. (2003). "Coupling of atomistic and continuum simulations using a bridging scale decomposition." J. Comput. Phys. JCTPAH0021-999110.1016/S0021-9991(03)00273-0, 190, 249-274.
-
(2003)
J. Comput. Phys.
, vol.190
, pp. 249-274
-
-
Wagner, G.J.1
Liu, W.K.2
-
36
-
-
1842686579
-
"A bridging domain method for coupling continua with molecular dynamics"
-
CMMECC0045-782510.1016/j.cma.2003.12.053
-
Xiao, S. P., and Belytsckko, T. (2004). "A bridging domain method for coupling continua with molecular dynamics." Comput. Methods Appl. Mech. Eng. CMMECC0045-782510.1016/j.cma.2003.12.053, 193, 1645-1669.
-
(2004)
Comput. Methods Appl. Mech. Eng.
, vol.193
, pp. 1645-1669
-
-
Xiao, S.P.1
Belytsckko, T.2
-
37
-
-
33750954156
-
"Atomistic measure of the strength of MgO nanorods"
-
TAFME40167-8442
-
Xiong, L., Chen, Y., and Lee, J. D. (2006). "Atomistic measure of the strength of MgO nanorods." Theor. Appl. Fract. Mech. TAFME40167-8442, 46, 202-208.
-
(2006)
Theor. Appl. Fract. Mech.
, vol.46
, pp. 202-208
-
-
Xiong, L.1
Chen, Y.2
Lee, J.D.3
-
38
-
-
34547403111
-
"Atomistic simulation of mechanical properties of diamond and silicon by a field theory"
-
MSMEEU0965-039310.1088/0965-0393/15/5/011
-
Xiong, L., Chen, Y., and Lee, J. D. (2007). "Atomistic simulation of mechanical properties of diamond and silicon by a field theory." Modell. Simul. Mater. Sci. Eng.MSMEEU0965-039310.1088/0965-0393/15/5/ 011, 15, 535-551.
-
(2007)
Modell. Simul. Mater. Sci. Eng.
, vol.15
, pp. 535-551
-
-
Xiong, L.1
Chen, Y.2
Lee, J.D.3
-
39
-
-
0003453202
-
-
McGraw-Hill, London
-
Zienkiewicz, O. C., and Taylor, R. L. (1989). The finite-element method, Vol.1, basic formulation and linear problems, McGraw-Hill, London.
-
(1989)
The Finite-element Method, Vol.1, Basic Formulation and Linear Problems
-
-
Zienkiewicz, O.C.1
Taylor, R.L.2
|