Measuring nonlinear stresses generated by defects in 3D colloidal crystals.

[1]  Dick Bedeaux,et al.  Continuum equations of balance via weighted averages of microscopic quantities , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[2]  A. Ian Murdoch,et al.  A Critique of Atomistic Definitions of the Stress Tensor , 2007 .

[3]  J. Herskowitz,et al.  Proceedings of the National Academy of Sciences, USA , 1996, Current Biology.

[4]  R. Harder,et al.  Coherent X-ray diffraction imaging of strain at the nanoscale. , 2009, Nature materials.

[5]  K. Jacobsen,et al.  A Maximum in the Strength of Nanocrystalline Copper , 2003, Science.

[6]  R. Ruel,et al.  Template-directed colloidal crystallization , 1997, Nature.

[7]  D A Weitz,et al.  Grain Boundary Scars and Spherical Crystallography , 2003, Science.

[8]  E. Weeks,et al.  On measuring colloidal volume fractions , 2011, 1106.2566.

[9]  C. Thompson,et al.  Reversible stress relaxation during precoalescence interruptions of volmer-weber thin film growth. , 2002, Physical review letters.

[10]  Alexander Stukowski,et al.  Extracting dislocations and non-dislocation crystal defects from atomistic simulation data , 2010 .

[11]  D. Hull,et al.  Introduction to Dislocations , 1968 .

[12]  W. Lechner,et al.  Defect-induced supersolidity with soft-core bosons , 2013, Nature Communications.

[13]  M. E. Kassner,et al.  X-ray microbeam measurements of individual dislocation cell elastic strains in deformed single-crystal copper , 2006, Nature materials.

[14]  M Gu,et al.  University of Birmingham Influence of spherical aberration on axial imaging of confocal reflection microscopy , 2006 .

[15]  Zamora,et al.  Phase behavior of small attractive colloidal particles. , 1996, Physical review letters.

[16]  Wilson C. K. Poon,et al.  TOPICAL REVIEW: The physics of a model colloid-polymer mixture , 2002 .

[17]  A. Blaaderen,et al.  Methods to calibrate and scale axial distances in confocal microscopy as a function of refractive index , 2014, Journal of microscopy.

[18]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[19]  D. Grier,et al.  Methods of Digital Video Microscopy for Colloidal Studies , 1996 .

[20]  V. Prasad,et al.  Three-dimensional confocal microscopy of colloids. , 2001, Applied optics.

[21]  William G. Hoover,et al.  Studies in Molecular Dynamics. V. High‐Density Equation of State and Entropy for Hard Disks and Spheres , 1968 .

[22]  G. Maret,et al.  Elastic properties of 2D colloidal crystals from video microscopy. , 2002, Physical review letters.

[23]  William T. M. Irvine,et al.  Pleats in crystals on curved surfaces , 2010, Nature.

[24]  F. Baletto,et al.  Single impurity effect on the melting of nanoclusters. , 2005, Physical review letters.

[25]  J. Brady.  The rheological behavior of concentrated colloidal dispersions , 1993 .

[26]  Phan,et al.  Phase transition, equation of state, and limiting shear viscosities of hard sphere dispersions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  David A. Weitz,et al.  Visualizing dislocation nucleation by indenting colloidal crystals , 2006, Nature.

[28]  I. Cohen,et al.  A multi-axis confocal rheoscope for studying shear flow of structured fluids. , 2014, The Review of scientific instruments.

[29]  I. Cohen,et al.  Far-from-equilibrium sheared colloidal liquids: disentangling relaxation, advection, and shear-induced diffusion. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  W. Ludwig,et al.  Observations of Intergranular Stress Corrosion Cracking in a Grain-Mapped Polycrystal , 2008, Science.

[31]  David A. Weitz,et al.  Visualization of Dislocation Dynamics in Colloidal Crystals , 2004, Science.

[32]  Vasily V. Bulatov,et al.  Dislocation multi-junctions and strain hardening , 2006, Nature.

[33]  Large difference in the elastic properties of fcc and hcp hard-sphere crystals. , 2003, Physical review letters.

[34]  Andrea J. Liu,et al.  Low-frequency vibrations of soft colloidal glasses. , 2010, Physical review letters.

[35]  C. Dellago,et al.  Point defects in two-dimensional colloidal crystals: simulation vs. elasticity theory , 2008, 0806.3570.

[36]  L. Cipelletti,et al.  Jamming phase diagram for attractive particles , 2001, Nature.

[37]  C. Dellago,et al.  Defect interactions in two-dimensional colloidal crystals: vacancy and interstitial strings , 2009 .

[38]  L. Costa,et al.  Formation energy and interaction of point defects in two-dimensional colloidal crystals , 2007, cond-mat/0701049.

[39]  A. Puertas,et al.  Comparison of structure and transport properties of concentrated hard and soft sphere fluids. , 2008, The Journal of chemical physics.

[40]  J. R. Morris,et al.  Viscosity, shear waves, and atomic-level stress-stress correlations. , 2011, Physical review letters.

[41]  John F. Brady,et al.  Brownian Dynamics simulation of hard-sphere colloidal dispersions , 2000 .

[42]  T.J Delph.  Local stresses and elastic constants at the atomic scale , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[43]  D. Rawlins,et al.  The point‐spread function of a confocal microscope: its measurement and use in deconvolution of 3‐D data , 1991 .

[44]  Ellad B. Tadmor,et al.  Modeling Materials: Continuum, Atomistic and Multiscale Techniques , 2011 .

[45]  Haimin Yao,et al.  Journal of the Mechanics and Physics of Solids , 2014 .

[46]  B. Alder,et al.  Studies in Molecular Dynamics. IX. Vacancies in Hard Sphere Crystals , 1971 .

[47]  K. Jacobsen,et al.  Softening of nanocrystalline metals at very small grain sizes , 1998, Nature.

[48]  Ladd,et al.  Elastic constants of hard-sphere crystals. , 1987, Physical review letters.

[49]  Juan J de Pablo,et al.  Mechanical heterogeneities in model polymer glasses at small length scales. , 2004, Physical review letters.

[50]  Xiang Cheng,et al.  Imaging the Microscopic Structure of Shear Thinning and Thickening Colloidal Suspensions , 2011, Science.

[51]  R. Hardy,et al.  Formulas for determining local properties in molecular‐dynamics simulations: Shock waves , 1982 .

[52]  Christopher R. Weinberger,et al.  A non-singular continuum theory of dislocations , 2006 .

[53]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[54]  Physical Review Letters 63 , 1989 .

[55]  Peter Varga,et al.  The role of specimen‐induced spherical aberration in confocal microscopy , 1997 .

[56]  Ted Belytschko,et al.  On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation , 2008 .

[57]  Ting Zhu,et al.  Atomistic mechanisms governing elastic limit and incipient plasticity in crystals , 2002, Nature.

[58]  J. Langer,et al.  Dynamics of viscoplastic deformation in amorphous solids , 1997, cond-mat/9712114.

[59]  A. Blaaderen,et al.  A colloidal model system with an interaction tunable from hard sphere to soft and dipolar , 2003, Nature.

[60]  H. O. Fuchs,et al.  Metal fatigue in engineering , 2001 .

[61]  R. Ganapathy,et al.  Directional grain growth from anisotropic kinetic roughening of grain boundaries in sheared colloidal crystals , 2012, Proceedings of the National Academy of Sciences.

[62]  E. Weeks,et al.  Measuring the size of individual particles from three-dimensional imaging experiments , 2011, Nature Communications.

[63]  Alexander A Alemi,et al.  Imaging Atomic Rearrangements in Two-Dimensional Silica Glass: Watching Silica’s Dance , 2013, Science.

[64]  A G Yodh,et al.  Premelting at Defects Within Bulk Colloidal Crystals , 2005, Science.

[65]  M Gu,et al.  Aberration compensation in confocal microscopy. , 1991, Applied optics.

[66]  A G Yodh,et al.  Melting of colloidal crystal films. , 2010, Physical review letters.

[67]  R. Behringer,et al.  Jamming by shear , 2011, Nature.

[68]  M. Arroyo,et al.  Examining the Mechanical Equilibrium of Microscopic Stresses in Molecular Simulations. , 2015, Physical review letters.

[69]  P. Arratia,et al.  Microfluidic rheology of soft colloids above and below jamming. , 2010, Physical review letters.