2007

83.	A temperature-related homogenization technique and its implementation in the meshfree particle method for nanoscale simulations
	S. P. Xiao and W. X. Yang
	International Journal for Numerical Methods in Engineering, 69, 2099-2125 (2007).
	Abstract
82.	Size and microstructure effects on the mechanical behavior of FCC bicrystals by quasicontinuum method
	F. Sansoz and J. F. Molinari
	Thin Solid Films, 515, 3158-3163 (2007).
	Abstract
81.	Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation.
	V. Gavini, K. Bhattacharya and M. Ortiz.
	Journal of the Mechanics and Physics of Solids, 55, 697-718 (2007).
	Abstract
80.	Convergence analysis of a quasi-continuum approximation for a two-dimensional material without defects
	P. Lin
	SIAM Journal on Numerical Analysis, 45, 313-332 (2007).
	Abstract

2006

79.	Error control for molecular statics problems
	S. Prudhomme, P. T. Bauman and J. T. Oden
	International Journal for Multiscale Computational Engineering, 4, 647-662 (2006).
	Abstract
78.	Grain growth behavior at absolute zero during nanocrystalline metal indentation
	F. Sansoz and V. Dupont
	Applied Physics Letters, 89, Art. No. 111901 (2006).
	Abstract
77.	Quasicontinuum simulation of nanoindentation of nickel film
	F. L. Zeng and Y. Sun
	Acta Mechanica Solida Sinica, 19, 283-288 (2006).
	Abstract
77.	Temperature-related Cauchy-Born rule for multiscale modeling of crystalline solids
	S. P. Xiao and W. X. Yang
	Computational Materials Science, 37, 374-379 (2006).
	Abstract
75.	Multiscale modeling of physical phenomena: Adaptive control of models
	J. T. Oden, S. Prudhomme, A. Romkes and P. T. Bauman
	SIAM Journal on Scientific Computing, 28, 2359-2389 (2006).
	Abstract
74.	A concurrent multiscale method based on the meshfree method and molecular dynamics analysis
	Y. T. Gu and L. C. Zhang
	Multiscale Modeling & Simulation, 5, 1128-1155 (2006).
	Abstract
73.	Uniform accuracy of the quasicontinuum method
	W. E, J. F. Lu and J. Z. Yang
	Physical Review B, 74, Art. No. 214115 (2006).
	Abstract
72.	Multiscale simulation on nanometric cutting of single crystal copper
	X. Z. Sun, S. J. Chen, K. Cheng, D. H. Hu and W. J. Chu
	Proceedings of the Institution of Mechanical Engineers Part B-Journal of Enginee, 220, 1217-1222 (2006).
	Abstract
71.	Finite-temperature quasicontinuum method for multiscale analysis of silicon nanostructures
	Z. Tang, H. Zhao, G. Li and N. R. Aluru
	Physical Review B, 74, Art. No. 064110 (2006).
	Abstract
70.	Two-grain nanoindentation using the quasicontinuum method: Two-dimensional model approach
	R. A. Iglesias and E. P. M. Leiva
	Acta Materialia, 54, 2655-2664 (2006).
	Abstract
69.	Prediction of dislocation nucleation during nanoindentation of Al3Mg by the orbital-free density functional theory local quasicontinuum method
	R. L. Hayes, G. Ho, M. Ortiz M and E. A. Carter
	Philosophical Magazine, 86, 2343-2358 (2006).
	Abstract
68.	Rapid thermal equilibration in coarse-grained molecular dynamics
	S. P. A. Gill, Z. Jia, B. Leimkuhler and A. C. F. Cocks
	Physical Review B, 73, Art. No. 184304 (2006).
	Abstract
67.	A quasicontinuum method for deformations of carbon nanotubes
	J. Y. Park, Y. S. Cho, S. Y. Kim, S. Jun and S. Im
	Computer Modeling in Engineering & Sciences, 11, 61-72 (2006).
	Abstract
66.	From electrons to finite elements: A concurrent multiscale approach for metals
	G. Lu, E. B. Tadmor and E. Kaxiras
	Physical Review B, 73, Art. No. 024108 (2006).
	Abstract
65.	Atomistic based continuum investigation of plastic deformation in nanocrystalline copper
	D. H. Warner, F. Sansoz and J. F. Molinari
	International Journal of Plasticity, 22, 754-774 (2006).
	Abstract

2005

64.	A finite-temperature dynamic coupled atomistic/discrete dislocation method
	S. Qu, V. Shastry, W. A. Curtin and R. E. Miller
	Modelling and Simulation in Materials Science and Engineering, 13, 1101-1118 (2005).
	Abstract
63.	Multiscale simulation of surface step effects on nanoindentation
	D. B. Shan, L. Yuan and B. Guo
	Materials Science and Engineering A-Structural Materials Properties Microstructu, 412, 264-270 (2005).
	Abstract
62.	Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
	X. Blanc, C. Le Bris and F. Legoll
	ESAIM-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et, 39, 797-826 (2005).
	Abstract
61.	Prediction of dislocation nucleation during nanoindentation by the orbital-free density functional theory local quasi-continuum method
	R. L. Hayes, M. Fago, M. Ortiz M and E. A. Carter
	Multiscale Modeling & Simulation, 4, 359-389 (2005).
	Abstract
60.	Derivation of higher order gradient continuum models from atomistic models for crystalline solids
	M. Arndt and M. Griebel
	Multiscale Modeling & Simulation, 4, 531-562 (2005).
	Abstract
59.	Finite-temperature quasicontinuum: Molecular dynamics without all the atoms
	L. M. Dupuy, E. B. Tadmor, R. E. Miller and R. Phillips
	Physical Review Letters, 95, Art. No. 060202 (2005).
	Abstract
58.	Nanovoid deformation in aluminum under simple shear
	J. Marian, J. Knap and M. Ortiz
	Acta Materialia, 53, 2893-2900 (2005).
	Abstract
57.	A new quasi-continuum constitutive model for crack growth in an isotropic solid
	Z. N. Zhang and X. R. Ge
	European Journal of Mechanics A-Solids, 24, 243-252 (2005).
	Abstract
56.	Quasicontinuum analysis of alumina/copper interface
	Y. Hangai, N. Yoshikawa, S. V. Dmitriev, M. Kohyama and S. Tanaka
	Journal of the Japan Institute of Metals, 69, 194-197 (2005).
	Abstract
55.	Mechanical behavior of Sigma tilt grain boundaries in nanoscale Cu and Al: A quasicontinuum study
	F. Sansoz and J. F. Molinari
	Acta Materialia, 53, 1931-1944 (2005).
	Abstract
54.	Large scale atomistic simulation of Cu/Al2O3 interface via quasicontinuum analysis
	Y. Hangai, N. Yoshikawa, S. V. Dmitriev, M. Kohyama and S. Tanaka
	Journal of the Japan Institute of Metals, 69, 90-95 (2005).
	Abstract

2004

53.	Incidence of atomic shuffling on the shear and decohesion behavior of a symmetric tilt grain boundary in copper
	F. Sansoz and J. F. Molinari
	Scripta Materialia, 50, 1283-1288 (2004).
	Abstract
52.	An extension of the quasicontinuum treatment of multiscale solid systems to nonzero temperature
	D. J. Diestler, Z. B. Wu and X. C. Zeng
	Journal of Chemical Physics, 121, 9279-9282 (2004).
	Abstract
51.	Density-functional-theory-based local quasicontinuum method: Prediction of dislocation nucleation
	M. Fago, R. L. Hayes, E. A. Carter and M. Ortiz
	Physical Review B, 70, Art. No. 100102 (2004).
	Abstract
50.	Matching conditions in the quasicontinuum method: Removal of the error introduced at the interface between the coarse-grained and fully atomistic region
	T. Shimokawa, J. J. Mortensen, J. Schiotz J and K. W. Jacobsen
	Physical Review B, 69, Art. No. 214104 (2004).
	Abstract
49.	Quasicontinuum models for interface multiscale model
	Y. Hangai and N. Yoshikawa
	Key Engineering Materials, 261-263, 729-734 Part 1&2 (2004).
	Abstract
48.	Multiscale plasticity modeling: coupled atomistics and discrete dislocation mechanics
	L. E. Shilkrot, R. E. Miller and W. A. Curtin
	Journal of the Mechanics and Physics of Solids, 52, 755-787 (2004).
	Abstract
47.	Analysis of multiscale methods
	W. E and P. B. Ming
	Journal of Computational Mathematics, 22, 210-219 (2004).
	Abstract
46.	Predictive modeling of nanoindentation-induced homogeneous dislocation nucleation in copper
	T. Zhu, J. Li, K. J. Van Vliet, S. Ogata, S. Yip and S. Suresh
	Journal of the Mechanics and Physics of Solids, 52, 691-724 (2004).
	Abstract
45.	Finite element implementation of virtual internal bond model for simulating crack behavior
	G. Thiagarajan, K. J. Hsia and Y. Huang
	Engineering Fracture Mechanics, 71, 401-423 (2004).
	Abstract

2003

44.	A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials
	S. Aubry, M. Fago and M. Ortiz
	Computer Methods in Applied Mechanics and Engineering, 192, 2823-2843 (2003).
	Abstract
43.	On higher gradients in continuum-atomistic modelling
	R. Sunyk and P. Steinmann
	International Journal of Solids and Structures, 40, 6877-6896 (2003).
	Abstract
42.	Modeling fracture in nanomaterials via a virtual internal bond method
	H. J. Gao and B. H. Ji
	Engineering Fracture Mechanics, 70, 1777-1791 (2003).
	Abstract
41.	Atomistic/continuum coupling in computational materials science
	W. A. Curtin and R. E. Miller
	Modelling and Simulation in Materials Science and Engineering, 11, R33-R68 (2003).
	Abstract
40.	Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model
	P. Lin
	Mathematics of Computation, 72, 657-675 (2003).
	Abstract
39.	Multi-scale modeling strategies in materials science - The quasicontinuum method
	V. B. Shenoy
	Bulletin of Materials Science, 26, 53-62 (2003).
	Abstract
38.	Coarse-graining description of solid systems at nonzero temperature
	Z. B. Wu, D. J. Diestler, R. Feng and X. C. Zeng
	Journal of Chemical Physics, 119, 8013-8023 (2003).
	Abstract
37.	Effect of indenter-radius size on Au(001) nanoindentation
	J. Knap and M. Ortiz
	Physical Review Letters, 90, art. no. 226102 (2003).
	Abstract
36.	The quasicontinuum method: Overview, applications and current directions
	R. E. Miller and E. B. Tadmor
	Journal of Computer-Aided Materials Design, 9, 203-239 (2002).
	Abstract
35.	A peierls criterion for the onset of deformation twinning at a crack tip
	E. B. Tadmor and S. Hai
	Journal of the Mechanics and Physics of Solids, 51, 765-793 (2003).
	Abstract
34.	Deformation twinning at aluminum crack tips
	S. Hai and E. B. Tadmor
	Acta Materialia, 51, 117-131 (2003).
	Abstract
33.	Mixed atomistic/continuum methods: static and dynamic quasicontinuum methods
	D. Rodney
	in Proceedings of the NATO Conference "Thermodynamics, Microstructures and Plasticity", Eds A. Finel, D. Maziere, M. Veron (Kluwer, Dortrecht, 2003).
	Abstract

2002

32.	Coarse-grained descriptions of multiple scale processes in solid systems
	D. J. Diestler
	Physical Review B, 66, 184104 (2002).
	Abstract
31.	Polarization switching in PbTiO3: An ab initio finite element simulation
	E. B. Tadmor, U. V. Waghmare, G. S. Smith and E. Kaxiras
	Acta Materialia, 50, 2989-3002 (2002).
	Abstract
30.	An atomistic-based finite deformation membrane for single layer crystalline films
	M. Arroyo and T. Belytschko
	Journal of the Mechanics and Physics of Solids, 50, 1941-1977 (2002).
	Abstract
29.	Quasicontinuum representations of atomic-scale mechanics: From proteins to dislocations
	R. Phillips, M. Dittrich and K.Schulten
	Annual Review of Materials Research, 32, 219-233 (2002).
	Abstract
28.	The quasicontinuum method revisited
	J. J. Mortensen, J. Schiotz and K. W. Jacobsen
	Challenges in Molecular Simulations, 4, 119 (2002).
	Abstract
27.	The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials
	P. Zhang, Y. Huang, P. H. Geubelle, P. A. Klein and K. C. Hwang
	International Journal of Solids and Structures, 39, 3893-3906 (2002).
	Abstract
26.	Fracture nucleation in single-wall carbon nanotubes under tension: A continuum analysis incorporating interatomic potentials
	P. Zhang, Y. Huang, H. Gao and K. C. Hwang
	Journal of Applied Mechanics, 69, 454-458 (2002).
	Abstract
25.	Numerical simulation of cohesive fracture by the virtual-internal-bond model
	P. Zhang, P. A. Klein, Y. Huang, H. Gao and P. D. Wu
	Computer Modeling in Engineering and Sciences, 3, 263-289 (2002).
	Abstract

2001

24.	Crack behavior at bi-crystal interfaces: A mixed atomistic and continuum approach
	A. R. Pillai and R. E. Miller
	Materials Research Society Symposium Proceedings, 653, Z2.9.1-Z2.9.7 (2001).
	Abstract
23.	Multiscale simulations of silicon nanoindentation
	G. S. Smith, E. B. Tadmor, N. Bernstein and E. Kaxiras
	Acta Materialia, 49, 4089-4101 (2001).
	Abstract
22.	An analysis of the quasicontinuum method
	J. Knap J and M. Ortiz
	Journal of the Mechanics and Physics of Solids, 49, 1899-1923 (2001).
	Abstract
21.	Reconciliation of atomic-level and continuum notions concerning the interaction of dislocations and obstacles
	K. Hardikar, Vivek Shenoy and R. Phillips
	Journal of the Mechanics and Physics of Solids, 49, 1951-1967 (2001).
	Abstract
20.	Formation and strength of dislocation junctions in FCC metals: A study by dislocation dynamics and atomistic simulations
	C. S. Shin, M. C. Fivel, D. Rodney, R. Phillips, V. B. Shenoy and L. Dupuy
	Journal de Physique IV, 11, 19-26 (2001).
	Abstract
19.	Mixed atomistic continuum models of material behavior: The art of transcending atomistics and informing continua
	M. Ortiz, A. M. Cuitino, J. Knap and M. Koslowski
	MRS Bulletin, 26, 216-221 (2001).

2000

18.	Atomistic-continuum simulation of nano-indentation in molybdenum
	R. C. Picu
	Journal of Computer-Aided Materials Design, 7, 77-87 (2000).
	Abstract
17.	Nucleation of dislocations beneath a plane strain indenter
	Vivek Shenoy, R. Phillips and E. B. Tadmor
	Journal of the Mechanics and Physics of Solids, 48, 649-673 (2000).
	Abstract
16.	Multiscale simulation of loading and electrical resistance in silicon nanoindentation
	G. S. Smith, E. B. Tadmor and E. Kaxiras
	Physical Review Letters, 84, 1260-1263 (2000).
	Abstract

1999

15.	Electronic structure boundary value problems without all of the atoms
	H. T. Johnson, R. Phillips and L. B. Freund
	Materials Research Society Symposium Proceedings, 538, 479-484 (1999).
	Abstract
14.	Finite temperature quasicontinuum methods
	V. Shenoy, V. Shenoy and R. Phillips
	Materials Research Society Symposium Proceedings, 538, 465-471 (1999).
	Abstract
13.	Nanomechanics of defects in solids
	M. Ortiz and R. Phillips
	Advances in Applied Mechanics, 36, 1-79 (1999).
12.	Hierarchical models of plasticity: dislocation nucleation and interaction
	R. Phillips, D. Rodney, Vivek Shenoy, E. B. Tadmor and M. Ortiz
	Modelling and Simulation in Materials Science and Engineering, 7, 769-780 (1999).
	Abstract
11.	Nanoindentation and incipient plasticity
	E. B. Tadmor, R. Miller, R. Phillips and M. Ortiz
	Journal of Materials Research, 14, 2233-2250 (1999).
	Abstract
10.	An adaptive finite element approach to atomic-scale mechanics — the quasicontinuum method
	V. B. Shenoy, R. Miller, E. B. Tadmor, D. Rodney, R. Phillips and M. Ortiz
	Journal of the Mechanics and Physics of Solids, 47, 611-642 (1999).
	Abstract
9.	Structure and strength of dislocation junctions: An atomic level analysis
	D. Rodney and R. Phillips
	Physical Review Letters, 82, 1704-1707 (1999).
	Abstract
8.	Mixed finite element and atomistic formulation for complex crystals
	E. B. Tadmor, G. S. Smith, N. Bernstein and E. Kaxiras
	Physical Review B, 59, 235-245 (1999).
	Abstract

1998

7.	Quasicontinuum models of fracture and plasticity
	R. Miller, M. Ortiz, R. Phillips, V. B. Shenoy and E. B. Tadmor
	Engineering Fracture Mechanics, 61, 427-444 (1998).
	Abstract
6.	Crack nucleation and growth as strain localization in a virtual-bond continuum
	P. Klein and H. Gao
	Engineering Fracture Mechanics, 61, 21-48 (1998).
	Abstract
5.	Quasicontinuum simulation of fracture at the atomic scale
	R. Miller, E. B. Tadmor, R. Phillips and M. Ortiz
	Modelling and Simulation in Materials Science and Engineering, 6, 607-638 (1998).
	Abstract
4.	Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds
	H. Gao and P. Klein
	Journal of the Mechanics and Physics of Solids, 46, 187-218 (1998).
	Abstract
3.	Quasicontinuum models of interfacial structure and deformation
	V. B. Shenoy, R. Miller, E. B. Tadmor, R. Phillips and M. Ortiz
	Physical Review Letters, 80, 742-745 (1998).
	Abstract

1996

2.	Mixed Atomistic and Continuum Models of Deformation in Solids
	E. B. Tadmor, R. Phillips and M. Ortiz
	Langmuir, 12, 4529-4534 (1996).
	Abstract
1.	Quasicontinuum analysis of defects in solids
	E. B. Tadmor, M. Ortiz and R. Phillips
	Philosophical Magazine A, 73, 1529-1563 (1996).
	Abstract

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