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The macroscopic behavior of many materials is complex and the end result of mechanisms that operate across a broad range of disparate scales.
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R. E. Reed-Hill and W. D. Robertson · 1957
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C. S. Roberts · 1960
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On the thermally activated mechanism of prismatic slip in magnesium single crystals
P. W. Flynn, J. Mote, and J. E. Dorn · 1961
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H. Yoshinaga and R. Horiuchi · 1964
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Solid solution strengthening of magnesium single crystals—i alloying behaviour in basal slip
A. Akhtar and E. Teghtsoonian · 1969
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Elastic-plastic behaviour of polycrystalline metals and composites
J. Hutchinson · 1970
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Large deformation, deep penetration theory for a compressible strain-hardening target material
S. Hanagud and B. Ross · 1971
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Thermally activated deformation of gold single crystals
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{ 11 2 ¯ 2 } ⟨ 1123 ⟩ \{11\bar{2}2\}\langle 1123\rangle slip system in magnesium
T. Obara, H. Yoshinga, and S. Morozumi · 1973
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A constitutive model and data for materials subjected to large strains, high strain rates, and high temperatures
G. R. Johnson · 1983
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Penetration of 6061–t651 aluminum targets with rigid long rods
M. J. Forrestal, K. Okajima, and V. K. Luk · 1988
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A new look at independence
M. Talagrand · 1996
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An introduction to genetic algorithms
M. Mitchell · 1998
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Non-convex energy minimization and dislocation structures in ductile single crystals
M. Ortiz and E. Repetto · 1999
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Designing a new material world
G. B. Olson · 2000
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Temperature dependence of deformation behavior in magnesium and magnesium alloy single crystals
S. Ando, N. Harada, M. Tsushida, H. Kitahara, and H. Tonda · 2007
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Deformation behavior of magnesium single crystals in c-axis compression
T. Kitahara, S. Ando, M. Tsushida, H. Kitahara, and H. Tonda · 2007
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Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities
L. J. Lucas, H. Owhadi, and M. Ortiz · 2008
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Ballistic resistance of body armor, nij standard-0101.06
M. Mukasey, J. L. Sedgwick, and D. Hagy · 2008
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Microcompression of single-crystal magnesium
C. M. Byer, B. Li, B. Cao, and K. Ramesh · 2010
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Molecular dynamics simulations of 1/2 a¡1 1 1¿ screw dislocation in ta
G. Wang, A. Strachan, T. Cagin, and W. A. Goddard · 2000
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Modulus of continuity, encyclopaedia of mathematics, 2001
A. Efimov · 2001
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Mixed atomistic-continuum models of material behavior: The art of transcending atomistics and informing continua
M. Ortiz, A. M. Cuitiño, J. Knap, and M. Koslowski · 2001
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Crystals, defects and microstructures: Modeling across scales
R. Phillips · 2001
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Accurate calculations of the peierls stress in small periodic cells
D. E. Segall, T. A. Arias, A. Strachan, and W. A. Goddard · 2001
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A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals
M. Koslowski, A. Cuitino, and M. Ortiz · 2002
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Multi-scale computational homogenization: Trends and challenges
M. G. Geers, V. G. Kouznetsova, and W. Brekelmans · 2010
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Optimal transportation meshfree approximation schemes for fluid and plastic flows
B. Li, F. Habbal, and M. Ortiz · 2010
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Dislocation dynamics during plastic deformation , volume 129
U. Messerschmidt · 2010
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Temperature dependency of slip and twinning in plane strain compressed magnesium single crystals
A. Chapuis and J. H. Driver · 2011
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Uncertainty quantification and weak approximation of an elliptic inverse problem
M. Dashti and A. M. Stuart · 2011
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Equation of state and viscosity of tantalum and iron from first principles
L. Miljacic, S. Demers, and A. van de Walle · 2011
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Rigorous uncertainty quantification without integral testing
U. Topcu, L. J. Lucas, H. Owhadi, and M. Ortiz · 2011
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Singular orientations and faceted motion of dislocations in body-centered cubic crystals
K. Kang, V. V. Bulatov, and W. Cai · 2012
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A variational constitutive model for slip-twinning interactions in hcp metals: application to single-and polycrystalline magnesium
Y. Chang and D. M. Kochmann · 2015
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Numerical simulation of explosive welding using smoothed particle hydrodynamics method
J. Feng, P. Chen, Q. Zhou, K. Dai, E. An, and Y. Yuan · 2017
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Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis: version 6.12 user’s manual
B. M. Adams, W. J. Bohnhoff, K. R. Dalbey, M. S. Ebeida, J. P. Eddy, M. S. Eldred, R. W. Hooper, P. D. Hough, K. T. Hu, J. D. Jakeman, M. Khalil, K. A. Maupin, J. A. Monschke, E. M. Ridgway, A. A. Rushdi, D. T. Seidl, J. A. Stephens, L. P. Swiler, and J. G. Winokur · 2020
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Rigorous uncertainty quantification and design with uncertain material models
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