Correlations between the hierarchical spatial heterogeneity and the mechanical properties of metallic glasses

Miracle, 2004, A structural model for metallic glasses, Nat Mater, 3, 697, 10.1038/nmat1219 Sheng, 2006, Atomic packing and short-to-medium-range order in metallic glasses, Nature, 439, 419, 10.1038/nature04421 Ma, 2009, Power-law scaling and fractal nature of medium-range order in metallic glasses, Nat Mater, 8, 30, 10.1038/nmat2340 Liu, 2010, Metallic liquids and glasses: atomic order and global packing, Phys Rev Lett, 105, 10.1103/PhysRevLett.105.155501 Zeng, 2011, Long-range topological order in metallic glass, Science, 332, 1404, 10.1126/science.1200324 Hirata, 2013, Geometric frustration of icosahedron in metallic glasses, Science, 341, 376, 10.1126/science.1232450 Cheng, 2011, Atomic-level structure and structure–property relationship in metallic glasses, Prog Mater Sci, 56, 379, 10.1016/j.pmatsci.2010.12.002 Spaepen, 1977, A microscopic mechanism for steady state inhomogeneous flow in metallic glasses, Acta Metall, 25, 407, 10.1016/0001-6160(77)90232-2 T.J.J. Egami, Understanding the properties and structure of metallic glasses at the atomic level, 62 (2010) 70-75. Zhang, 2015, Cooling rates dependence of medium-range order development inCu64.5Zr35.5metallic glass, Phys Rev B, 91 Ding, 2014, Full icosahedra dominate local order in Cu64Zr34 metallic glass and supercooled liquid, Acta Mater, 69, 343, 10.1016/j.actamat.2014.02.005 Liu, 2012, The activation energy and volume of flow units of metallic glasses, Scr Mater, 67, 9, 10.1016/j.scriptamat.2012.03.009 Lu, 2014, Flow unit perspective on room temperature homogeneous plastic deformation in metallic glasses, Phys Rev Lett, 113, 10.1103/PhysRevLett.113.045501 Wang, 2015, On the source of plastic flow in metallic glasses: Concepts and models, Intermetallics, 67, 81, 10.1016/j.intermet.2015.08.004 Liu, 2013, A quasi-phase perspective on flow units of glass transition and plastic flow in metallic glasses, J Non Cryst Solids, 376, 76, 10.1016/j.jnoncrysol.2013.04.053 Turnbull, 1961, Free-volume model of the amorphous phase: glass transition, J Chem Phys, 34, 120, 10.1063/1.1731549 Turnbull, 1970, On the free-volume model of the liquid-glass transition, J Chem Phys, 52, 3038, 10.1063/1.1673434 Derlet, 2020, Correlated disorder in a model binary glass through a local SU(2) bonding topology, Phys Rev Mater, 4 Cao, 2009, Structural processes that initiate shear localization in metallic glass, Acta Mater, 57, 5146, 10.1016/j.actamat.2009.07.016 Yu, 2017, Slower icosahedral cluster rejuvenation drives the brittle-to-ductile transition in nanoscale metallic glasses, Comput Mater Sci, 140, 235, 10.1016/j.commatsci.2017.08.038 Lee, 2011, Networked interpenetrating connections of icosahedra: Effects on shear transformations in metallic glass, Acta Mater, 59, 159, 10.1016/j.actamat.2010.09.020 Falk, 1998, Dynamics of viscoplastic deformation in amorphous solids, Phys Rev E, 57, 7192, 10.1103/PhysRevE.57.7192 A.J.A.m. Argon, Plastic deformation in metallic glasses, 27 (1979) 47-58. Wang, 2019, Flow units as dynamic defects in metallic glassy materials, Natl Sci Rev, 6, 304, 10.1093/nsr/nwy084 Cubuk, 2017, Structure-property relationships from universal signatures of plasticity in disordered solids, Science, 358, 1033, 10.1126/science.aai8830 Wei, 2019, Revisiting the structure–property relationship of metallic glasses: Common spatial correlation revealed as a hidden rule, Phys Rev B, 99, 10.1103/PhysRevB.99.014115 Wei, 2019, Assessing the utility of structure in amorphous materials, J Chem Phys, 150, 10.1063/1.5064531 Zemp, 2014, Icosahedral superclusters inCu64Zr36metallic glass, Phys Rev B, 90, 10.1103/PhysRevB.90.144108 Derlet, 2020, Emergent structural length scales in a model binary glass - The micro-second molecular dynamics time-scale regime, J Alloys Compd, 821, 10.1016/j.jallcom.2019.153209 Ryltsev, 2016, Cooling rate dependence of simulated Cu64.5Zr35.5 metallic glass structure, J Chem Phys, 145, 10.1063/1.4958631 Ke, 2014, Structure heterogeneity in metallic glass: modeling and experiment, J Mater Sci Technol, 30, 560, 10.1016/j.jmst.2013.11.014 Ling, 2018, Probe embryonic damage evolution in bulk metallic glasses under plate-impact loading, EPJ Web Conf, 183, 10.1051/epjconf/201818303013 Tang, 2020, Lognormal Distribution of Local Strain: A Universal Law of Plastic Deformation in Material, Phys Rev Lett, 124, 10.1103/PhysRevLett.124.155501 Lu, 2016, Structural Signature of Plasticity Unveiled by Nano-Scale Viscoelastic Contact in a Metallic Glass, Sci Rep, 6, 29357, 10.1038/srep29357 Yang, 2012, Fractal growth of the dense-packing phase in annealed metallic glass imaged by high-resolution atomic force microscopy, Acta Mater, 60, 5260, 10.1016/j.actamat.2012.06.025 Plimpton, 1995, Fast parallel algorithms for short-range molecular dynamics, J Comput Phys, 117, 1, 10.1006/jcph.1995.1039 Egami, 2003 Angell, 1995, Formation of glasses from liquids and biopolymers, Science, 267, 1924, 10.1126/science.267.5206.1924 Buchholz, 2002, Cooling rate dependence of the glass transition temperature of polymer melts: Molecular dynamics study, J Chem Phys, 117, 7364, 10.1063/1.1508366 Li, 2018, Effects of cooling rate on the atomic structure of Cu64Zr36 binary metallic glass, Comput Mater Sci, 141, 59, 10.1016/j.commatsci.2017.09.026 Sanditov, 2017, On relaxation nature of glass transition in amorphous materials, Physica B, 523, 96, 10.1016/j.physb.2017.08.025 Sentjabrskaja, 2015, Creep and flow of glasses: strain response linked to the spatial distribution of dynamical heterogeneities, Sci Rep, 5, 11884, 10.1038/srep11884 Fan, 2014, Evolution of elastic heterogeneity during aging in metallic glasses, Phys Rev E Stat Nonlin Soft Matter Phys, 89, 10.1103/PhysRevE.89.062313 Plancherel, 1910, Contribution à ľétude de la représentation d'une fonction arbitraire par des intégrales définies, Rendiconti del Circolo Matematico di Palermo (1884-1940), 30, 289, 10.1007/BF03014877 Liu, 2020, Deformation-enhanced hierarchical multiscale structure heterogeneity in a Pd-Si bulk metallic glass, Acta Mater, 200, 42, 10.1016/j.actamat.2020.08.077 Chen, 2015, Fractal atomic-level percolation in metallic glasses, Science, 349, 1306, 10.1126/science.aab1233 Cheng, 2009, Correlation between the elastic modulus and the intrinsic plastic behavior of metallic glasses: The roles of atomic configuration and alloy composition, Acta Mater, 57, 3253, 10.1016/j.actamat.2009.03.027 M.D. Ediger, Spatially heterogeneous dynamics in supercooled liquids, Annual review of physical chemistry, 51 (2000) 99-128. Cheng, 2008, Indicators of internal structural states for metallic glasses: Local order, free volume, and configurational potential energy, Appl Phys Lett, 93, 10.1063/1.2966154 Wakeda, 2019, Heterogeneous structural changes correlated to local atomic order in thermal rejuvenation process of Cu-Zr metallic glass, Sci Technol Adv Mater, 20, 632, 10.1080/14686996.2019.1624140 Saida, 2017, Thermal rejuvenation in metallic glasses, Sci Technol Adv Mater, 18, 152, 10.1080/14686996.2017.1280369 Liu, 2011, Characterization of nanoscale mechanical heterogeneity in a metallic glass by dynamic force microscopy, Phys Rev Lett, 106, 10.1103/PhysRevLett.106.125504 Tsai, 2017, Hierarchical heterogeneity and an elastic microstructure observed in a metallic glass alloy, Acta Mater, 139, 11, 10.1016/j.actamat.2017.07.061 Zhu, 2018, Spatial heterogeneity as the structure feature for structure-property relationship of metallic glasses, Nat Commun, 9, 3965, 10.1038/s41467-018-06476-8 Xue, 2013, Characterization of flow units in metallic glass through density variation, J Appl Phys, 114, 10.1063/1.4823816 Zhao, 2020, Reversible and irreversible β-relaxations in metallic glasses, Phys Rev B, 101, 10.1103/PhysRevB.101.094203 Derlet, 2021, Micro-plasticity in a fragile model binary glass, Acta Mater, 209 Zhu, 2021, A new continuum model for viscoplasticity in metallic glasses based on thermodynamics and its application to creep tests, J Mech Phys Solids, 146, 10.1016/j.jmps.2020.104216 Jiang, 2009, On the origin of shear banding instability in metallic glasses, J Mech Phys Solids, 57, 1267, 10.1016/j.jmps.2009.04.008 Jiang, 2015, Origin of stress overshoot in amorphous solids, Mech Mater, 81, 72, 10.1016/j.mechmat.2014.10.002 Derlet, 2018, Thermally-activated stress relaxation in a model amorphous solid and the formation of a system-spanning shear event, Acta Mater, 143, 205, 10.1016/j.actamat.2017.10.020 Wisitsorasak, 2012, On the strength of glasses, Proc Natl Acad Sci U S A, 109, 16068, 10.1073/pnas.1214130109 Trachenko, 2011, Heat capacity at the glass transition, Phys Rev B, 83, 10.1103/PhysRevB.83.014201 Jiang, 2007, Intrinsic correlation between fragility and bulk modulus in metallic glasses, Phys Rev B, 76, 10.1103/PhysRevB.76.054204 Liu, 2009, Thermodynamic origins of shear band formation and the universal scaling law of metallic glass strength, Phys Rev Lett, 103, 10.1103/PhysRevLett.103.065504 S. Song, F. Zhu, M. Chen, Universal Scaling Law of Glass Rheology, arXiv preprint arXiv:.10991, (2020). Fan, 2017, Effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible, Phys Rev E, 95, 10.1103/PhysRevE.95.022611 Yuan, 2020, Intrinsic and extrinsic effects on the brittle-to-ductile transition in metallic glasses, J Appl Phys, 128, 10.1063/5.0020201 Kamrin, 2014, Two-temperature continuum thermomechanics of deforming amorphous solids, J Mech Phys Solids, 73, 269, 10.1016/j.jmps.2014.09.009 Budrikis, 2017, Universal features of amorphous plasticity, Nat Commun, 8, 15928, 10.1038/ncomms15928 Liu, 2018, Elastic Fluctuations and Structural Heterogeneities in Metallic Glasses, Adv Funct Mater, 28 Ma, 2016, Tailoring structural inhomogeneities in metallic glasses to enable tensile ductility at room temperature, Mater Today, 19, 568, 10.1016/j.mattod.2016.04.001 Greer, 2013, Shear bands in metallic glasses, Mater Sci Eng, 74, 71, 10.1016/j.mser.2013.04.001 Zhang, 2006, Thickness of shear bands in metallic glasses, Appl Phys Lett, 89 Inoue, 1998, High packing density of Zr-and Pd-based bulk amorphous alloys, Mater Trans JIM, 39, 318, 10.2320/matertrans1989.39.318 Harms, 2003, Effects of plastic deformation on the elastic modulus and density of bulk amorphous Pd40Ni10Cu30P20, J Non Cryst Solids, 317, 200, 10.1016/S0022-3093(02)02010-0