Strength statistics of single crystals and metallic glasses under small stressed volumes

Gao, Yanfei; Bei, Hongbin

doi:10.1016/j.pmatsci.2016.05.002

Title: Strength statistics of single crystals and metallic glasses under small stressed volumes

Journal Article · Fri May 13 00:00:00 EDT 2016 · Progress in Materials Science

DOI:https://doi.org/10.1016/j.pmatsci.2016.05.002· OSTI ID:1256810

Gao, Yanfei ^[1]; Bei, Hongbin ^[2]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

It has been well documented that plastic deformation of crystalline and amorphous metals/alloys shows a general trend of “smaller is stronger”. The majority of the experimental and modeling studies along this line have been focused on finding and reasoning the scaling slope or exponent in the logarithmic plot of strength versus size. In contrast to this view, here we show that the universal picture should be the thermally activated nucleation mechanisms in small stressed volume, the stochastic behavior as to find the weakest links in intermediate sizes of the stressed volume, and the convolution of these two mechanisms with respect to variables such as indenter radius in nanoindentation pop-in, crystallographic orientation, pre-strain level, sample length as in uniaxial tests, and others. Furthermore, experiments that cover the entire spectrum of length scales and a unified model that treats both thermal activation and spatial stochasticity have discovered new perspectives in understanding and correlating the strength statistics in a vast of observations in nanoindentation, micro-pillar compression, and fiber/whisker tension tests of single crystals and metallic glasses.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1256810

Alternate ID(s):: OSTI ID: 1430399

Journal Information:: Progress in Materials Science, Vol. 82, Issue C; ISSN 0079-6425

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 69 works

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References (163)

Ferritic Alloys with Extreme Creep Resistance via Coherent Hierarchical Precipitates Song, Gian; Sun, Zhiqian; Li, Lin Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep16327	journal	November 2015
Mechanistic Studies in Friction and Wear of Bulk Materials Sawyer, W. Gregory; Argibay, Nicolas; Burris, David L. Annual Review of Materials Research, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-matsci-070813-113533	journal	July 2014
Deformation and Fracture Mechanisms of Bone and Nacre Wang, Rizhi; Gupta, Himadri S. Annual Review of Materials Research, Vol. 41, Issue 1 https://doi.org/10.1146/annurev-matsci-062910-095806	journal	August 2011
Designing Radiation Resistance in Materials for Fusion Energy Zinkle, S. J.; Snead, L. L. Annual Review of Materials Research, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-matsci-070813-113627	journal	July 2014
Mechanisms controlling the durability of thermal barrier coatings Evans, A. G.; Mumm, D. R.; Hutchinson, J. W. Progress in Materials Science, Vol. 46, Issue 5 https://doi.org/10.1016/S0079-6425(00)00020-7	journal	January 2001
Indentation size effects in crystalline materials: A law for strain gradient plasticity Nix, William D.; Gao, Huajian Journal of the Mechanics and Physics of Solids, Vol. 46, Issue 3 https://doi.org/10.1016/S0022-5096(97)00086-0	journal	March 1998
Deformation at the nanometer and micrometer length scales: Effects of strain gradients and dislocation starvation Nix, William D.; Greer, Julia R.; Feng, Gang Thin Solid Films, Vol. 515, Issue 6 https://doi.org/10.1016/j.tsf.2006.01.030	journal	February 2007
The Indentation Size Effect: A Critical Examination of Experimental Observations and Mechanistic Interpretations Pharr, George M.; Herbert, Erik G.; Gao, Yanfei Annual Review of Materials Research, Vol. 40, Issue 1 https://doi.org/10.1146/annurev-matsci-070909-104456	journal	June 2010
Lattice rotation caused by wedge indentation of a single crystal: Dislocation dynamics compared to crystal plasticity simulations Zhang, Yunhe; Gao, Yanfei; Nicola, Lucia Journal of the Mechanics and Physics of Solids, Vol. 68 https://doi.org/10.1016/j.jmps.2014.04.006	journal	August 2014
Lattice Rotation Patterns and Strain Gradient Effects in Face-Centered-Cubic Single Crystals Under Spherical Indentation Gao, Y. F.; Larson, B. C.; Lee, J. H. Journal of Applied Mechanics, Vol. 82, Issue 6 https://doi.org/10.1115/1.4030403	journal	June 2015
Sample Dimensions Influence Strength and Crystal Plasticity Uchic, M. D. Science, Vol. 305, Issue 5686 https://doi.org/10.1126/science.1098993	journal	August 2004
Size-affected single-slip behavior of pure nickel microcrystals Dimiduk, D. M.; Uchic, M. D.; Parthasarathy, T. A. Acta Materialia, Vol. 53, Issue 15 https://doi.org/10.1016/j.actamat.2005.05.023	journal	September 2005
Plasticity of Micrometer-Scale Single Crystals in Compression Uchic, Michael D.; Shade, Paul A.; Dimiduk, Dennis M. Annual Review of Materials Research, Vol. 39, Issue 1 https://doi.org/10.1146/annurev-matsci-082908-145422	journal	August 2009
Ultra-strength materials Zhu, Ting; Li, Ju Progress in Materials Science, Vol. 55, Issue 7 https://doi.org/10.1016/j.pmatsci.2010.04.001	journal	September 2010
Plasticity in small-sized metallic systems: Intrinsic versus extrinsic size effect Greer, Julia R.; De Hosson, Jeff Th. M. Progress in Materials Science, Vol. 56, Issue 6 https://doi.org/10.1016/j.pmatsci.2011.01.005	journal	August 2011
Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients Greer, Julia R.; Oliver, Warren C.; Nix, William D. Acta Materialia, Vol. 53, Issue 6 https://doi.org/10.1016/j.actamat.2004.12.031	journal	April 2005
Size effects in the deformation of sub-micron Au columns Volkert, C. A.; Lilleodden, E. T. Philosophical Magazine, Vol. 86, Issue 33-35 https://doi.org/10.1080/14786430600567739	journal	November 2006
Stochastic nature of plasticity of aluminum micro-pillars Ng, K. S.; Ngan, A. H. W. Acta Materialia, Vol. 56, Issue 8 https://doi.org/10.1016/j.actamat.2007.12.016	journal	May 2008
Stochastic theory for jerky deformation in small crystal volumes with pre-existing dislocations Ng, K. S.; Ngan, A. H. W. Philosophical Magazine, Vol. 88, Issue 5 https://doi.org/10.1080/14786430801953126	journal	February 2008
Fundamental Differences in Mechanical Behavior between Two Types of Crystals at the Nanoscale Brinckmann, Steffen; Kim, Ju-Young; Greer, Julia R. Physical Review Letters, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevLett.100.155502	journal	April 2008
Microstructure versus Size: Mechanical Properties of Electroplated Single Crystalline Cu Nanopillars Jennings, Andrew T.; Burek, Michael J.; Greer, Julia R. Physical Review Letters, Vol. 104, Issue 13 https://doi.org/10.1103/PhysRevLett.104.135503	journal	April 2010
An explanation for the power-law scaling of size effect on strength in micro-specimens Ngan, A. H. W. Scripta Materialia, Vol. 65, Issue 11 https://doi.org/10.1016/j.scriptamat.2011.08.027	journal	December 2011
Source Truncation and Exhaustion: Insights from Quantitative in situ TEM Tensile Testing Kiener, D.; Minor, A. M. Nano Letters, Vol. 11, Issue 9 https://doi.org/10.1021/nl201890s	journal	September 2011
Emergence of strain-rate sensitivity in Cu nanopillars: Transition from dislocation multiplication to dislocation nucleation Jennings, Andrew T.; Li, Ju; Greer, Julia R. Acta Materialia, Vol. 59, Issue 14 https://doi.org/10.1016/j.actamat.2011.05.038	journal	August 2011
Size effects on strength and plasticity of vanadium nanopillars Han, Seung Min; Bozorg-Grayeli, Tara; Groves, James R. Scripta Materialia, Vol. 63, Issue 12 https://doi.org/10.1016/j.scriptamat.2010.08.011	journal	December 2010
Crystallographic orientation and size dependence of tension–compression asymmetry in molybdenum nano-pillars Kim, Ju-Young; Jang, Dongchan; Greer, Julia R. International Journal of Plasticity, Vol. 28, Issue 1 https://doi.org/10.1016/j.ijplas.2011.05.015	journal	January 2012
Discrete dislocation dynamics simulations to interpret plasticity size and surface effects in freestanding FCC thin films Espinosa, H. D.; Panico, M.; Berbenni, S. International Journal of Plasticity, Vol. 22, Issue 11 https://doi.org/10.1016/j.ijplas.2006.01.007	journal	November 2006
Dislocation-Source Shutdown and the Plastic Behavior of Single-Crystal Micropillars Tang, H.; Schwarz, K. W.; Espinosa, H. D. Physical Review Letters, Vol. 100, Issue 18 https://doi.org/10.1103/PhysRevLett.100.185503	journal	May 2008
The stability of Lomer–Cottrell jogs in nanopillars Weinberger, Christopher R.; Cai, Wei Scripta Materialia, Vol. 64, Issue 6 https://doi.org/10.1016/j.scriptamat.2010.11.037	journal	March 2011
A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application to micro-pillars Zhu, Yichao; Xiang, Yang Journal of the Mechanics and Physics of Solids, Vol. 84 https://doi.org/10.1016/j.jmps.2015.07.015	journal	November 2015
Stochastic behaviors in plastic deformation of face-centered cubic micropillars governed by surface nucleation and truncated source operation Ryu, Ill; Cai, Wei; Nix, William D. Acta Materialia, Vol. 95 https://doi.org/10.1016/j.actamat.2015.05.032	journal	August 2015
Size effects under homogeneous deformation of single crystals: A discrete dislocation analysis☆ Guruprasad, P.; Benzerga, A. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 1 https://doi.org/10.1016/j.jmps.2007.03.009	journal	January 2008
Micro-pillar plasticity: 2.5D mesoscopic simulations Benzerga, A. Amine Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 9 https://doi.org/10.1016/j.jmps.2009.06.003	journal	September 2009
Scale effects in convoluted thermal/spatial statistics of plasticity initiation in small stressed volumes during nanoindentation Li, T. L.; Bei, H.; Morris, J. R. Materials Science and Technology, Vol. 28, Issue 9-10 https://doi.org/10.1179/1743284712Y.0000000007	journal	October 2012
A tale of two mechanisms: Strain-softening versus strain-hardening in single crystals under small stressed volumes Bei, H.; Xia, Y. Z.; Barabash, R. I. Scripta Materialia, Vol. 110 https://doi.org/10.1016/j.scriptamat.2015.07.043	journal	January 2016
Ideal shear strain of metals and ceramics Ogata, Shigenobu; Li, Ju; Hirosaki, Naoto Physical Review B, Vol. 70, Issue 10 https://doi.org/10.1103/PhysRevB.70.104104	journal	September 2004
Compressive strengths of molybdenum alloy micro-pillars prepared using a new technique Bei, H.; Shim, S.; George, E. Scripta Materialia, Vol. 57, Issue 5 https://doi.org/10.1016/j.scriptamat.2007.05.010	journal	September 2007
Effects of pre-strain on the compressive stress–strain response of Mo-alloy single-crystal micropillars Bei, H.; Shim, S.; Pharr, G. M. Acta Materialia, Vol. 56, Issue 17 https://doi.org/10.1016/j.actamat.2008.05.030	journal	October 2008
Directional solidification and microstructures of near-eutectic Cr–Cr3Si alloys Bei, H.; George, E. P.; Kenik, E. A. Acta Materialia, Vol. 51, Issue 20 https://doi.org/10.1016/S1359-6454(03)00447-6	journal	December 2003
Microstructures and mechanical properties of a directionally solidified NiAl–Mo eutectic alloy Bei, H.; George, E. P. Acta Materialia, Vol. 53, Issue 1 https://doi.org/10.1016/j.actamat.2004.09.003	journal	January 2005
Microstructures and Mechanical Properties of Directionally Solidified Intermetallic Composites Bei, H.; George, E. P. Materials Science Forum, Vol. 539-543 https://doi.org/10.4028/www.scientific.net/MSF.539-543.1495	journal	March 2007
Scanning transmission electron microscope observations of defects in as-grown and pre-strained Mo alloy fibers Phani, P. Sudharshan; Johanns, K. E.; Duscher, G. Acta Materialia, Vol. 59, Issue 5 https://doi.org/10.1016/j.actamat.2010.12.018	journal	March 2011
Dislocation starvation and exhaustion hardening in Mo alloy nanofibers Chisholm, C.; Bei, H.; Lowry, M. B. Acta Materialia, Vol. 60, Issue 5 https://doi.org/10.1016/j.actamat.2011.12.027	journal	March 2012
Yield strength dependence on strain rate of molybdenum-alloy nanofibers Loya, P. E.; Xia, Y. Z.; Peng, C. Applied Physics Letters, Vol. 104, Issue 25 https://doi.org/10.1063/1.4885377	journal	June 2014
Mechanical behavior of amorphous alloys Schuh, C.; Hufnagel, T.; Ramamurty, U. Acta Materialia, Vol. 55, Issue 12 https://doi.org/10.1016/j.actamat.2007.01.052	journal	July 2007
Metallic glasses: Gaining plasticity for microsystems Yang, Yong; Ye, Jianchao; Lu, Jian JOM, Vol. 62, Issue 2 https://doi.org/10.1007/s11837-010-0039-1	journal	February 2010
Thin-film metallic glasses for substrate fatigue-property improvements Jia, Haoling; Liu, Fengxiao; An, Zhinan Thin Solid Films, Vol. 561 https://doi.org/10.1016/j.tsf.2013.12.024	journal	June 2014
A nanoindentation study of serrated flow in bulk metallic glasses Schuh, C. A.; Nieh, T. G. Acta Materialia, Vol. 51, Issue 1 https://doi.org/10.1016/S1359-6454(02)00303-8	journal	January 2003
Specimen Size Effects on Zr-Based Bulk Metallic Glasses Investigated by Uniaxial Compression and Spherical Nanoindentation Bei, H.; Lu, Z. P.; Shim, S. Metallurgical and Materials Transactions A, Vol. 41, Issue 7 https://doi.org/10.1007/s11661-009-9994-y	journal	September 2009
On the shear-band direction in metallic glasses Gao, Y. F.; Wang, L.; Bei, H. Acta Materialia, Vol. 59, Issue 10 https://doi.org/10.1016/j.actamat.2011.03.039	journal	June 2011
On the correlation between microscopic structural heterogeneity and embrittlement behavior in metallic glasses Li, Weidong; Gao, Yanfei; Bei, Hongbin Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep14786	journal	October 2015
Thermomechanical instability analysis of inhomogeneous deformation in amorphous alloys Gao, Y. F.; Yang, B.; Nieh, T. G. Acta Materialia, Vol. 55, Issue 7 https://doi.org/10.1016/j.actamat.2006.11.027	journal	April 2007
Intrinsic shear strength of metallic glass Cheng, Y. Q.; Ma, E. Acta Materialia, Vol. 59, Issue 4 https://doi.org/10.1016/j.actamat.2010.11.046	journal	February 2011
Atomic-level structure and structure–property relationship in metallic glasses Cheng, Y. Q.; Ma, E. Progress in Materials Science, Vol. 56, Issue 4 https://doi.org/10.1016/j.pmatsci.2010.12.002	journal	May 2011
Structural heterogeneity induced plasticity in bulk metallic glasses: From well-relaxed fragile glass to metal-like behavior Li, Weidong; Bei, H.; Tong, Y. Applied Physics Letters, Vol. 103, Issue 17 https://doi.org/10.1063/1.4827299	journal	October 2013
Effect of sample size on deformation in amorphous metals Volkert, C. A.; Donohue, A.; Spaepen, F. Journal of Applied Physics, Vol. 103, Issue 8 https://doi.org/10.1063/1.2884584	journal	April 2008
Size-dependent plasticity and fracture of a metallic glass in compression Xie, S.; George, E. P. Intermetallics, Vol. 16, Issue 3 https://doi.org/10.1016/j.intermet.2007.11.013	journal	March 2008
Effects of size on the strength and deformation mechanism in Zr-based metallic glasses Jang, Dongchan; Gross, Cameron T.; Greer, Julia R. International Journal of Plasticity, Vol. 27, Issue 6 https://doi.org/10.1016/j.ijplas.2010.09.010	journal	June 2011
Sample size matters for Al88Fe7Gd5 metallic glass: Smaller is stronger Wang, C. -C.; Ding, J.; Cheng, Y. -Q. Acta Materialia, Vol. 60, Issue 13-14 https://doi.org/10.1016/j.actamat.2012.06.019	journal	August 2012
Intrinsic and extrinsic size effects in the deformation of metallic glass nanopillars Kuzmin, O. V.; Pei, Y. T.; Chen, C. Q. Acta Materialia, Vol. 60, Issue 3 https://doi.org/10.1016/j.actamat.2011.11.023	journal	February 2012
Size effects and ductility of Al-based metallic glass Kuzmin, O. V.; Pei, Y. T.; De Hosson, J. T. M. Scripta Materialia, Vol. 67, Issue 4 https://doi.org/10.1016/j.scriptamat.2012.05.019	journal	August 2012
Is the compression of tapered micro- and nanopillar samples a legitimate technique for the identification of deformation mode change in metallic glasses? Liu, M. C.; Huang, J. C.; Chen, K. W. Scripta Materialia, Vol. 66, Issue 10 https://doi.org/10.1016/j.scriptamat.2012.02.025	journal	May 2012
Variability in the yield strength of a metallic glass at micron and submicron length scales Bharathula, Ashwini; Flores, Katharine M. Acta Materialia, Vol. 59, Issue 19 https://doi.org/10.1016/j.actamat.2011.08.008	journal	November 2011
An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 7, Issue 06, p. 1564-1583 https://doi.org/10.1557/JMR.1992.1564	journal	June 1992
Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology Oliver, W. C.; Pharr, G. M. Journal of Materials Research, Vol. 19, Issue 1 https://doi.org/10.1557/jmr.2004.19.1.3	journal	January 2004
Cohesive interface simulations of indentation cracking as a fracture toughness measurement method for brittle materials Lee, J. H.; Gao, Y. F.; Johanns, K. E. Acta Materialia, Vol. 60, Issue 15 https://doi.org/10.1016/j.actamat.2012.07.011	journal	September 2012
Influence of dislocation density on the pop-in behavior and indentation size effect in CaF2 single crystals: Experiments and molecular dynamics simulations Lodes, M. A.; Hartmaier, A.; Göken, M. Acta Materialia, Vol. 59, Issue 11 https://doi.org/10.1016/j.actamat.2011.03.050	journal	June 2011
Indentation size effect in metallic materials: Modeling strength from pop-in to macroscopic hardness using geometrically necessary dislocations Durst, Karsten; Backes, Björn; Franke, Oliver Acta Materialia, Vol. 54, Issue 9 https://doi.org/10.1016/j.actamat.2006.01.036	journal	May 2006
Indentation size effect in spherical and pyramidal indentations Durst, Karsten; Göken, Mathias; Pharr, George M. Journal of Physics D: Applied Physics, Vol. 41, Issue 7 https://doi.org/10.1088/0022-3727/41/7/074005	journal	March 2008
Single versus successive pop-in modes in nanoindentation tests of single crystals Xia, Yuzhi; Gao, Yanfei; Pharr, George M. Journal of Materials Research, Vol. 31, Issue 14 https://doi.org/10.1557/jmr.2016.193	journal	May 2016
Hertzian contact of anisotropic bodies Willis, J. R. Journal of the Mechanics and Physics of Solids, Vol. 14, Issue 3 https://doi.org/10.1016/0022-5096(66)90036-6	journal	May 1966
Indentation modulus of elastically anisotropic half spaces Vlassak, Joost J.; Nix, W. D. Philosophical Magazine A, Vol. 67, Issue 5 https://doi.org/10.1080/01418619308224756	journal	May 1993
Indentation of elastically anisotropic half-spaces by cones and parabolae of revolution Swadener, J. G.; Pharr, G. M. Philosophical Magazine A, Vol. 81, Issue 2 https://doi.org/10.1080/01418610108214314	journal	February 2001
The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape Vlassak, J. J.; Ciavarella, M.; Barber, J. R. Journal of the Mechanics and Physics of Solids, Vol. 51, Issue 9 https://doi.org/10.1016/S0022-5096(03)00066-8	journal	September 2003
Multidimensional contact moduli of elastically anisotropic solids Gao, Y. F.; Pharr, G. M. Scripta Materialia, Vol. 57, Issue 1 https://doi.org/10.1016/j.scriptamat.2007.03.020	journal	July 2007
Effective elastic modulus of film-on-substrate systems under normal and tangential contact Gao, Y.; Xu, H.; Oliver, W. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 2 https://doi.org/10.1016/j.jmps.2007.05.015	journal	February 2008
An Approximate Formulation of the Effective Indentation Modulus of Elastically Anisotropic Film-On-Substrate Systems Li, T. L.; Lee, J. H.; Gao, Y. F. International Journal of Applied Mechanics, Vol. 01, Issue 03 https://doi.org/10.1142/S1758825109000241	journal	September 2009
Indentation Schmid factor and orientation dependence of nanoindentation pop-in behavior of NiAl single crystals Li, T. L.; Gao, Y. F.; Bei, H. Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 6 https://doi.org/10.1016/j.jmps.2011.04.003	journal	June 2011
Mesoscale friction anisotropy revealed by slidingless tests Annett, James; Gao, Yanfei; Cross, Graham L. W. Journal of Materials Research, Vol. 26, Issue 18 https://doi.org/10.1557/jmr.2011.270	journal	September 2011
Effective Poisson’s ratio from combined normal and lateral contacts of single crystals Lee, J. H.; Gao, Y. F.; Pharr, G. M. Journal of Materials Research, Vol. 27, Issue 1 https://doi.org/10.1557/jmr.2011.330	journal	October 2011
Displacement fields and self-energies of circular and polygonal dislocation loops in homogeneous and layered anisotropic solids Gao, Yanfei; Larson, Bennett C. Journal of the Mechanics and Physics of Solids, Vol. 83 https://doi.org/10.1016/j.jmps.2015.06.008	journal	October 2015
Effects of machine stiffness on the loading–displacement curve during spherical nano-indentation Li, Weidong; Bei, Hongbin; Qu, Jun Journal of Materials Research, Vol. 28, Issue 14 https://doi.org/10.1557/jmr.2013.164	journal	June 2013
Anomalous plastic deformation at surfaces: Nanoindentation of gold single crystals Corcoran, S. G.; Colton, R. J.; Lilleodden, E. T. Physical Review B, Vol. 55, Issue 24 https://doi.org/10.1103/PhysRevB.55.R16057	journal	June 1997
A different type of indentation size effect Shim, S.; Bei, H.; George, E. P. Scripta Materialia, Vol. 59, Issue 10 https://doi.org/10.1016/j.scriptamat.2008.07.026	journal	November 2008
The role of dislocation walls for nanoindentation to shallow depths Cordill, M. J.; Moody, N. R.; Gerberich, W. W. International Journal of Plasticity, Vol. 25, Issue 2 https://doi.org/10.1016/j.ijplas.2008.02.003	journal	February 2009
Determining the activation energies and slip systems for dislocation nucleation in body-centered cubic Mo and face-centered cubic Ni single crystals Wang, L.; Bei, H.; Li, T. L. Scripta Materialia, Vol. 65, Issue 3 https://doi.org/10.1016/j.scriptamat.2011.03.036	journal	August 2011
A new view of the onset of plasticity during the nanoindentation of aluminium Minor, Andrew M.; Syed Asif, S. A.; Shan, Zhiwei Nature Materials, Vol. 5, Issue 9 https://doi.org/10.1038/nmat1714	journal	August 2006
Strength differences arising from homogeneous versus heterogeneous dislocation nucleation Bei, H.; Gao, Y. F.; Shim, S. Physical Review B, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevB.77.060103	journal	February 2008
Effect of tip radius on the incipient plasticity of chromium studied by nanoindentation Wu, D.; Morris, J. R.; Nieh, T. G. Scripta Materialia, Vol. 94 https://doi.org/10.1016/j.scriptamat.2014.09.017	journal	January 2015
Application of nucleation theory to the rate dependence of incipient plasticity during nanoindentation Schuh, Christopher A.; Lund, Alan C. Journal of Materials Research, Vol. 19, Issue 7 https://doi.org/10.1557/JMR.2004.0276	journal	July 2004
Quantitative insight into dislocation nucleation from high-temperature nanoindentation experiments Schuh, C. A.; Mason, J. K.; Lund, A. C. Nature Materials, Vol. 4, Issue 8 https://doi.org/10.1038/nmat1429	journal	July 2005
Determining the activation energy and volume for the onset of plasticity during nanoindentation Mason, J. K.; Lund, A. C.; Schuh, C. A. Physical Review B, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevB.73.054102	journal	February 2006
Characterization of deformation anisotropies in an α-Ti alloy by nanoindentation and electron microscopy Kwon, J.; Brandes, M. C.; Sudharshan Phani, P. Acta Materialia, Vol. 61, Issue 13 https://doi.org/10.1016/j.actamat.2013.05.005	journal	August 2013
Effect of solid solution elements on nanoindentation hardness, rate dependence, and incipient plasticity in fine grained magnesium alloys Somekawa, Hidetoshi; Schuh, Christopher A. Acta Materialia, Vol. 59, Issue 20 https://doi.org/10.1016/j.actamat.2011.08.047	journal	December 2011
Incipient plasticity and deformation mechanisms in single-crystal Mg during spherical nanoindentation Catoor, D.; Gao, Y. F.; Geng, J. Acta Materialia, Vol. 61, Issue 8 https://doi.org/10.1016/j.actamat.2013.01.055	journal	May 2013
Distinguishing between slip and twinning events during nanoindentation of magnesium alloy AZ31 Guo, Tingting; Siska, Filip; Barnett, M. R. Scripta Materialia, Vol. 110 https://doi.org/10.1016/j.scriptamat.2015.07.034	journal	January 2016
Synthesis, characterization, and nanoindentation response of single crystal Fe–Cr–Ni alloys with FCC and BCC structures Xia, Y. Z.; Bei, H.; Gao, Y. F. Materials Science and Engineering: A, Vol. 611 https://doi.org/10.1016/j.msea.2014.05.079	journal	August 2014
Indentation induced dislocation nucleation: The initial yield point Gerberich, W. W.; Nelson, J. C.; Lilleodden, E. T. Acta Materialia, Vol. 44, Issue 9 https://doi.org/10.1016/1359-6454(96)00010-9	journal	September 1996
The deformation behavior of ceramic crystals subjected to very low load (nano)indentations Page, Trevor F.; Oliver, Warren C.; McHargue, Carl J. Journal of Materials Research, Vol. 7, Issue 2 https://doi.org/10.1557/JMR.1992.0450	journal	February 1992
Influence of Indenter Tip Geometry on Elastic Deformation during Nanoindentation Bei, H.; George, E. P.; Hay, J. L. Physical Review Letters, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevLett.95.045501	journal	July 2005
Experimental Analysis of the Elastic-Plastic Transition During Nanoindentation of Single Crystal Alpha-Silicon Nitride Jang, Jae-il; Bei, Hongbin; Becher, Paul F. Journal of the American Ceramic Society, Vol. 95, Issue 7 https://doi.org/10.1111/j.1551-2916.2012.05251.x	journal	May 2012
Continuous microindentation of passivating surfaces Venkataraman, Shankar K.; Kohlstedt, David L.; Gerberich, William W. Journal of Materials Research, Vol. 8, Issue 4 https://doi.org/10.1557/JMR.1993.0685	journal	April 1993
Indentation fracture toughness and acoustic energy release in tetrahedral amorphous carbon diamond-like thin films Jungk, J.; Boyce, B.; Buchheit, T. Acta Materialia, Vol. 54, Issue 15 https://doi.org/10.1016/j.actamat.2006.05.003	journal	September 2006
Atomistic mechanisms governing elastic limit and incipient plasticity in crystals Li, Ju; Van Vliet, Krystyn J.; Zhu, Ting Nature, Vol. 418, Issue 6895 https://doi.org/10.1038/nature00865	journal	July 2002
Atomistic simulations of elastic deformation and dislocation nucleation during nanoindentation Lilleodden, E. T.; Zimmerman, J. A.; Foiles, S. M. Journal of the Mechanics and Physics of Solids, Vol. 51, Issue 5 https://doi.org/10.1016/S0022-5096(02)00119-9	journal	May 2003
Predictive modeling of nanoindentation-induced homogeneous dislocation nucleation in copper Zhu, T. Journal of the Mechanics and Physics of Solids, Vol. 52, Issue 3 https://doi.org/10.1016/j.jmps.2003.07.006	journal	March 2004
Atomistic processes of dislocation generation and plastic deformation during nanoindentation Begau, C.; Hartmaier, A.; George, E. P. Acta Materialia, Vol. 59, Issue 3 https://doi.org/10.1016/j.actamat.2010.10.016	journal	February 2011
Onset of Plasticity in Gold Nanopillar Compression Rabkin, Eugen; Srolovitz, David J. Nano Letters, Vol. 7, Issue 1 https://doi.org/10.1021/nl0622350	journal	January 2007
Atomistic simulation of the deformation of gold nanopillars Rabkin, E.; Nam, H. -S.; Srolovitz, D. J. Acta Materialia, Vol. 55, Issue 6 https://doi.org/10.1016/j.actamat.2006.10.058	journal	April 2007
Temperature and Strain-Rate Dependence of Surface Dislocation Nucleation Zhu, Ting; Li, Ju; Samanta, Amit Physical Review Letters, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevLett.100.025502	journal	January 2008
Molecular dynamics study on compressive yield strength in Ni ₃ Al micro-pillars Zuo, L.; Ngan, A. H. W. Philosophical Magazine Letters, Vol. 86, Issue 6 https://doi.org/10.1080/09500830600803890	journal	June 2006
Nanoindentation size effect in single-crystal nanoparticles and thin films: A comparative experimental and simulation study Mordehai, Dan; Kazakevich, Michael; Srolovitz, David J. Acta Materialia, Vol. 59, Issue 6 https://doi.org/10.1016/j.actamat.2010.12.027	journal	April 2011
Measuring surface dislocation nucleation in defect-scarce nanostructures Chen, Lisa Y.; He, Mo-rigen; Shin, Jungho Nature Materials, Vol. 14, Issue 7 https://doi.org/10.1038/nmat4288	journal	May 2015
Mechanisms of plasticity in near-theoretical strength sub-100 nm Si nanocubes Wagner, Andrew J.; Hintsala, Eric D.; Kumar, Prashant Acta Materialia, Vol. 100 https://doi.org/10.1016/j.actamat.2015.08.029	journal	November 2015
Indentation-induced localized deformation and elastic strain partitioning in composites at submicron length scale Barabash, R. I.; Bei, H.; Gao, Y. F. Acta Materialia, Vol. 58, Issue 20 https://doi.org/10.1016/j.actamat.2010.09.004	journal	December 2010
3D x-ray microprobe investigation of local dislocation densities and elastic strain gradients in a NiAl-Mo composite and exposed Mo micropillars as a function of prestrain Barabash, Rozaliya I.; Bei, Hongbin; Gao, Yanfei Journal of Materials Research, Vol. 25, Issue 2 https://doi.org/10.1557/JMR.2010.0043	journal	February 2010
Interface strength in NiAl–Mo composites from 3-D X-ray microdiffraction Barabash, R. I.; Bei, H.; Gao, Y. F. Scripta Materialia, Vol. 64, Issue 9 https://doi.org/10.1016/j.scriptamat.2011.01.028	journal	May 2011
3-D x-ray strain microscopy in two-phase composites at submicron length scales Barabash, R. I.; Bei, H.; Ice, G. E. JOM, Vol. 63, Issue 3 https://doi.org/10.1007/s11837-011-0042-1	journal	March 2011
Spatially resolved strain measurements in Mo-alloy micropillars by differential aperture x-ray microscopy Bei, H.; Barabash, R. I.; Ice, G. E. Applied Physics Letters, Vol. 93, Issue 7 https://doi.org/10.1063/1.2975371	journal	August 2008
Effects of focused ion beam milling and pre-straining on the microstructure of directionally solidified molybdenum pillars: A Laue diffraction analysis Zimmermann, J.; Van Petegem, S.; Bei, H. Scripta Materialia, Vol. 62, Issue 10 https://doi.org/10.1016/j.scriptamat.2010.02.013	journal	May 2010
Slip in directionally solidified Mo-alloy micropillars – Part I: Nominally dislocation-free pillars Zimmermann, J.; Van Swygenhoven, H.; Marichal, C. Acta Materialia, Vol. 60, Issue 11 https://doi.org/10.1016/j.actamat.2012.02.043	journal	June 2012
Slip in directionally solidified Mo-alloy micropillars—Part II: Pillars containing defects Zimmermann, J.; Van Swygenhoven, H.; Van Petegem, S. Acta Materialia, Vol. 60, Issue 11 https://doi.org/10.1016/j.actamat.2012.02.042	journal	June 2012
Thermal-expansion behavior of a directionally solidified NiAl–Mo composite investigated by neutron diffraction and dilatometry Bei, H.; George, E. P.; Brown, D. W. Journal of Applied Physics, Vol. 97, Issue 12 https://doi.org/10.1063/1.1929853	journal	June 2005
In-situ tensile testing of single-crystal molybdenum-alloy fibers with various dislocation densities in a scanning electron microscope Johanns, Kurt E.; Sedlmayr, Andreas; Sudharshan Phani, P. Journal of Materials Research, Vol. 27, Issue 3 https://doi.org/10.1557/jmr.2011.298	journal	September 2011
Characterization of dislocation structures and deformation mechanisms in as-grown and deformed directionally solidified NiAl–Mo composites Kwon, J.; Bowers, M. L.; Brandes, M. C. Acta Materialia, Vol. 89 https://doi.org/10.1016/j.actamat.2015.01.059	journal	May 2015
Sample-size effects in the yield behavior of nanocrystalline nickel Rinaldi, A.; Peralta, P.; Friesen, C. Acta Materialia, Vol. 56, Issue 3 https://doi.org/10.1016/j.actamat.2007.09.044	journal	February 2008
Size effects and strength fluctuation in nanoscale plasticity Wang, Wei; Zhong, Yuan; Lu, K. Acta Materialia, Vol. 60, Issue 8 https://doi.org/10.1016/j.actamat.2012.03.016	journal	May 2012
Size dependence and stochastic nature of yield strength of micron-sized crystals: a case study on Ni ₃ Al Ngan, A. H. W.; Zuo, L.; Wo, P. C. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 462, Issue 2070 https://doi.org/10.1098/rspa.2005.1645	journal	February 2006
Ductile versus brittle behaviour of crystals Rice, James R.; Thomson, Robb The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 29, Issue 1 https://doi.org/10.1080/14786437408213555	journal	January 1974
Micro-plasticity of surface steps under adhesive contact: Part I—Surface yielding controlled by single-dislocation nucleation Yu, H. H.; Shrotriya, P.; Gao, Y. F. Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 3 https://doi.org/10.1016/j.jmps.2006.09.003	journal	March 2007
Micro-plasticity of surface steps under adhesive contact: Part II—Multiple-dislocation mediated contact hardening Gao, Y.; Yu, H.; Kim, K. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 9 https://doi.org/10.1016/j.jmps.2008.05.003	journal	September 2008
Dislocation nucleation from a crack tip: An analysis based on the Peierls concept Rice, James R. Journal of the Mechanics and Physics of Solids, Vol. 40, Issue 2 https://doi.org/10.1016/S0022-5096(05)80012-2	journal	January 1992
A Peierls perspective on mechanisms of atomicfriction Gao, Yanfei Journal of the Mechanics and Physics of Solids, Vol. 58, Issue 12 https://doi.org/10.1016/j.jmps.2010.09.014	journal	December 2010
Mixed-mode singularity and temperature effects on dislocation nucleation in strained interconnects Lee, Jin Haeng; Gao, Yanfei International Journal of Solids and Structures, Vol. 48, Issue 7-8 https://doi.org/10.1016/j.ijsolstr.2011.01.001	journal	April 2011
Finite Element Studies of Homogeneous and Heterogeneous Dislocation Nucleation based on the Rice-Peierls Framework Li, T. L.; Lee, J. H.; Gao, Y. F. MRS Proceedings, Vol. 1363 https://doi.org/10.1557/opl.2011.1313	journal	January 2011
Integration of contact size dependence and thermal activation in atomic friction Zhang, Jiangnan; Lee, Jin Haeng; Lou, Jun Extreme Mechanics Letters, Vol. 2 https://doi.org/10.1016/j.eml.2015.01.005	journal	March 2015
Atomistic Study of Dislocation Loop Emission from a Crack Tip Zhu, Ting; Li, Ju; Yip, Sidney Physical Review Letters, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevLett.93.025503	journal	July 2004
Predicting the dislocation nucleation rate as a function of temperature and stress Ryu, Seunghwa; Kang, Keonwook; Cai, Wei Journal of Materials Research, Vol. 26, Issue 18 https://doi.org/10.1557/jmr.2011.275	journal	September 2011
Atomistic mechanisms for bilayer growth of graphene on metal substrates Chen, Wei; Cui, Ping; Zhu, Wenguang Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045408	journal	January 2015
Nanoscale strength distribution in amorphous versus crystalline metals Packard, C. E.; Franke, O.; Homer, E. R. Journal of Materials Research, Vol. 25, Issue 12 https://doi.org/10.1557/jmr.2010.0299	journal	December 2010
Deformation mechanisms in a precipitation-strengthened ferritic superalloy revealed by in situ neutron diffraction studies at elevated temperatures Huang, Shenyan; Gao, Yanfei; An, Ke Acta Materialia, Vol. 83 https://doi.org/10.1016/j.actamat.2014.09.053	journal	January 2015
Ultrahigh Strength of Dislocation-Free Ni3Al Nanocubes Maaß, Robert; Meza, Lucas; Gan, Bin Small, Vol. 8, Issue 12 https://doi.org/10.1002/smll.201102603	journal	March 2012
Contribution to size effect of yield strength from the stochastics of dislocation source lengths in finite samples Parthasarathy, Triplicane A.; Rao, Satish I.; Dimiduk, Dennis M. Scripta Materialia, Vol. 56, Issue 4 https://doi.org/10.1016/j.scriptamat.2006.09.016	journal	February 2007
Size Effects and Stochastic Behavior of Nanoindentation Pop In Morris, J. R.; Bei, H.; Pharr, G. M. Physical Review Letters, Vol. 106, Issue 16 https://doi.org/10.1103/PhysRevLett.106.165502	journal	April 2011
A simple stochastic model for yielding in specimens with limited number of dislocations Sudharshan Phani, P.; Johanns, K. E.; George, E. P. Acta Materialia, Vol. 61, Issue 7 https://doi.org/10.1016/j.actamat.2013.01.023	journal	April 2013
A stochastic model for the size dependence of spherical indentation pop-in Sudharshan Phani, P.; Johanns, Kurt E.; George, Easo P. Journal of Materials Research, Vol. 28, Issue 19 https://doi.org/10.1557/jmr.2013.254	journal	September 2013
Formation of extended prismatic dislocation structures under indentation Gagel, J.; Weygand, D.; Gumbsch, P. Acta Materialia, Vol. 111 https://doi.org/10.1016/j.actamat.2016.04.002	journal	June 2016
Transition from deterministic to stochastic deformation Ngan, A. H. W.; Ng, K. S. Philosophical Magazine, Vol. 90, Issue 14 https://doi.org/10.1080/14786430903571487	journal	May 2010
Dislocation arrangement in small crystal volumes determines power-law size dependence of yield strength Gu, R.; Ngan, A. H. W. Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 6 https://doi.org/10.1016/j.jmps.2012.10.002	journal	June 2013
Effects of focused ion beam milling on the nanomechanical behavior of a molybdenum-alloy single crystal Bei, H.; Shim, S.; Miller, M. K. Applied Physics Letters, Vol. 91, Issue 11 https://doi.org/10.1063/1.2784948	journal	September 2007
Effects of focused ion beam milling on the compressive behavior of directionally solidified micropillars and the nanoindentation response of an electropolished surface Shim, S.; Bei, H.; Miller, M. K. Acta Materialia, Vol. 57, Issue 2 https://doi.org/10.1016/j.actamat.2008.09.033	journal	January 2009
Comment on “Effects of focused ion beam milling on the nanomechanical behavior of a molybdenum-alloy single crystal” Appl. Phys. Lett. 91, 111915 (2007) Greer, Julia R.; Espinosa, Horacio; Ramesh, K. T. Applied Physics Letters, Vol. 92, Issue 9 https://doi.org/10.1063/1.2889997	journal	March 2008
Influences of surface preparation on nanoindentation pop-in in single-crystal Mo Wang, Zhigang; Bei, H.; George, E. P. Scripta Materialia, Vol. 65, Issue 6 https://doi.org/10.1016/j.scriptamat.2011.05.030	journal	September 2011
Tensile Strength of Whiskers Brenner, S. S. Journal of Applied Physics, Vol. 27, Issue 12 https://doi.org/10.1063/1.1722294	journal	December 1956
Plastic Deformation of Copper and Silver Whiskers Brenner, S. S. Journal of Applied Physics, Vol. 28, Issue 9 https://doi.org/10.1063/1.1722900	journal	September 1957
Approaching the ideal elastic limit of metallic glasses Tian, Lin; Cheng, Yong-Qiang; Shan, Zhi-Wei Nature Communications, Vol. 3, Issue 1 https://doi.org/10.1038/ncomms1619	journal	January 2012
Ultrahigh Strength Single Crystalline Nanowhiskers Grown by Physical Vapor Deposition Richter, Gunther; Hillerich, Karla; Gianola, Daniel S. Nano Letters, Vol. 9, Issue 8 https://doi.org/10.1021/nl9015107	journal	August 2009
Achieving the ideal strength in annealed molybdenum nanopillars Lowry, M. B.; Kiener, D.; LeBlanc, M. M. Acta Materialia, Vol. 58, Issue 15 https://doi.org/10.1016/j.actamat.2010.05.052	journal	September 2010
Effect of ion irradiation on tensile ductility, strength and fictive temperature in metallic glass nanowires Magagnosc, D. J.; Kumar, G.; Schroers, J. Acta Materialia, Vol. 74 https://doi.org/10.1016/j.actamat.2014.04.002	journal	August 2014
Revelation of the effect of structural heterogeneity on microplasticity in bulk metallic-glasses Yang, Yong; Ye, Jianchao; Lu, Jian Journal of Materials Research, Vol. 25, Issue 3 https://doi.org/10.1557/JMR.2010.0058	journal	March 2010
Indentation size effect and shear transformation zone size in a bulk metallic glass in two different structural states Choi, In-Chul; Zhao, Yakai; Kim, Yong-Jae Acta Materialia, Vol. 60, Issue 19 https://doi.org/10.1016/j.actamat.2012.08.061	journal	November 2012
Estimation of the shear transformation zone size in a bulk metallic glass through statistical analysis of the first pop-in stresses during spherical nanoindentation Choi, In-Chul; Zhao, Yakai; Yoo, Byung-Gil Scripta Materialia, Vol. 66, Issue 11 https://doi.org/10.1016/j.scriptamat.2012.02.032	journal	June 2012
How thermally activated deformation starts in metallic glass Fan, Yue; Iwashita, Takuya; Egami, Takeshi Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms6083	journal	September 2014

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