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Erschienen in: Metallurgical and Materials Transactions A 7/2020

28.04.2020

Spatiotemporal Analysis of Nonaffine Displacements in Disordered Solids Sheared Across the Yielding Point

verfasst von: Nikolai V. Priezjev

Erschienen in: Metallurgical and Materials Transactions A | Ausgabe 7/2020

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Abstract

The time evolution and spatial correlations of nonaffine displacements in deformed amorphous solids are investigated using molecular dynamics simulations. The three-dimensional model glass is represented via the binary mixture, which is slowly annealed well below the glass transition temperature and then sheared at a constant strain rate. It is shown that with increasing strain, the typical size of clusters of atoms with large nonaffine displacements increases, and these clusters remain spatially homogeneously distributed, until the yielding point when mobile atoms become localized within a system-spanning shear band. Furthermore, the yielding transition is associated with an abrupt change in the spatial correlation of nonaffine displacements, which varies from exponential to power-law decay. We also find that the height of the first peak in the pair correlation function of small atoms exhibits a distinct increase at the yielding strain. These results are discussed in relation to the yielding transition in amorphous materials under cyclic loading.

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Literatur
1.
Zurück zum Zitat A. Nicolas, E. E. Ferrero, K. Martens, and J.-L. Barrat (2018) Deformation and flow of amorphous solids: Insights from elastoplastic models, Rev. Mod. Phys., vol. 90, art. no. 045006. A. Nicolas, E. E. Ferrero, K. Martens, and J.-L. Barrat (2018) Deformation and flow of amorphous solids: Insights from elastoplastic models, Rev. Mod. Phys., vol. 90, art. no. 045006.
2.
Zurück zum Zitat S. Chen, J. Wang, L. Xia, and Y. Wu (2019) Deformation behavior of bulk metallic glasses and high entropy alloys under complex stress fields: A Review, Entropy, vol. 21, art. no. 54. S. Chen, J. Wang, L. Xia, and Y. Wu (2019) Deformation behavior of bulk metallic glasses and high entropy alloys under complex stress fields: A Review, Entropy, vol. 21, art. no. 54.
3.
Zurück zum Zitat A. Mehjabeen, T. Song, W. Xu, H. P. Tang, and M. Qian (2018) Zirconium alloys for orthopaedic and dental applications, Adv. Eng. Mater., vol. 20, art. no. 1800207. A. Mehjabeen, T. Song, W. Xu, H. P. Tang, and M. Qian (2018) Zirconium alloys for orthopaedic and dental applications, Adv. Eng. Mater., vol. 20, art. no. 1800207.
4.
Zurück zum Zitat F. Spaepen (1977) A microscopic mechanism for steady state inhomogeneous flow in metallic glasses, Acta Metall., vol. 25, pp. 407-415. F. Spaepen (1977) A microscopic mechanism for steady state inhomogeneous flow in metallic glasses, Acta Metall., vol. 25, pp. 407-415.
5.
Zurück zum Zitat A. S. Argon (1979) Plastic deformation in metallic glasses, Acta Metall., vol. 27, pp. 47-58. A. S. Argon (1979) Plastic deformation in metallic glasses, Acta Metall., vol. 27, pp. 47-58.
6.
Zurück zum Zitat P. K. Jaiswal, I. Procaccia, C. Rainone, and M. Singh (2016) Mechanical yield in amorphous solids: A first-order phase transition, Phys. Rev. Lett., vol. 116, art. no. 085501. P. K. Jaiswal, I. Procaccia, C. Rainone, and M. Singh (2016) Mechanical yield in amorphous solids: A first-order phase transition, Phys. Rev. Lett., vol. 116, art. no. 085501.
7.
Zurück zum Zitat F. Varnik, L. Bocquet, and J.-L. Barrat (2004) A study of the static yield stress in a binary Lennard-Jones glass, J. Chem. Phys., vol. 120, pp. 2788–801. F. Varnik, L. Bocquet, and J.-L. Barrat (2004) A study of the static yield stress in a binary Lennard-Jones glass, J. Chem. Phys., vol. 120, pp. 2788–801.
8.
Zurück zum Zitat Y. Shi and M. L. Falk (2006) Atomic-scale simulations of strain localization in three-dimensional model amorphous solids, Phys. Rev. E, vol. 73, art. no. 214201. Y. Shi and M. L. Falk (2006) Atomic-scale simulations of strain localization in three-dimensional model amorphous solids, Phys. Rev. E, vol. 73, art. no. 214201.
9.
Zurück zum Zitat N. B. Bailey, J. Schiotz, and K. W. Jacobsen (2006) Atomistic simulation study of the shear-band deformation mechanism in Mg-Cu metallic glasses, Phys. Rev. B, vol. 73, art. no. 064108. N. B. Bailey, J. Schiotz, and K. W. Jacobsen (2006) Atomistic simulation study of the shear-band deformation mechanism in Mg-Cu metallic glasses, Phys. Rev. B, vol. 73, art. no. 064108.
10.
Zurück zum Zitat S. Ogata, F. Shimizu, J. Li, M. Wakeda, and Y. Shibutani (2006) Atomistic simulation of shear localization in Cu-Zr bulk metallic glass, Intermetallics, vol. 14, pp. 1033-1037. S. Ogata, F. Shimizu, J. Li, M. Wakeda, and Y. Shibutani (2006) Atomistic simulation of shear localization in Cu-Zr bulk metallic glass, Intermetallics, vol. 14, pp. 1033-1037.
11.
Zurück zum Zitat G. P. Shrivastav, P. Chaudhuri, and J. Horbach (2016) Yielding of glass under shear: A directed percolation transition precedes shear-band formation, Phys. Rev. E, vol. 94, art. no. 042605. G. P. Shrivastav, P. Chaudhuri, and J. Horbach (2016) Yielding of glass under shear: A directed percolation transition precedes shear-band formation, Phys. Rev. E, vol. 94, art. no. 042605.
12.
Zurück zum Zitat G. P. Shrivastav, P. Chaudhuri, and J. Horbach (2016) Heterogeneous dynamics during yielding of glasses: Effect of aging, J. Rheol., vol. 60, pp. 835-847. G. P. Shrivastav, P. Chaudhuri, and J. Horbach (2016) Heterogeneous dynamics during yielding of glasses: Effect of aging, J. Rheol., vol. 60, pp. 835-847.
13.
Zurück zum Zitat R. Jana and L. Pastewka (2019) Correlations of non-affine displacements in metallic glasses through the yield transition, J. Phys.: Mater., vol. 2, art. no. 045006. R. Jana and L. Pastewka (2019) Correlations of non-affine displacements in metallic glasses through the yield transition, J. Phys.: Mater., vol. 2, art. no. 045006.
14.
Zurück zum Zitat A. Ghosh, Z. Budrikis, V. Chikkadi, A. L. Sellerio, S. Zapperi, and P. Schall (2017) Direct observation of percolation in the yielding transition of colloidal glasses, Phys. Rev. Lett., vol. 118, art. no. 148001. A. Ghosh, Z. Budrikis, V. Chikkadi, A. L. Sellerio, S. Zapperi, and P. Schall (2017) Direct observation of percolation in the yielding transition of colloidal glasses, Phys. Rev. Lett., vol. 118, art. no. 148001.
15.
Zurück zum Zitat N. V. Priezjev (2013) Heterogeneous relaxation dynamics in amorphous materials under cyclic loading, Phys. Rev. E, vol. 87, art. no. 052302. N. V. Priezjev (2013) Heterogeneous relaxation dynamics in amorphous materials under cyclic loading, Phys. Rev. E, vol. 87, art. no. 052302.
16.
Zurück zum Zitat D. Fiocco, G. Foffi, and S. Sastry (2013) Oscillatory athermal quasistatic deformation of a model glass, Phys. Rev. E, vol. 88, art. no. 020301. D. Fiocco, G. Foffi, and S. Sastry (2013) Oscillatory athermal quasistatic deformation of a model glass, Phys. Rev. E, vol. 88, art. no. 020301.
17.
Zurück zum Zitat N. V. Priezjev (2014) Dynamical heterogeneity in periodically deformed polymer glasses, Phys. Rev. E, vol. 89, art. no. 012601. N. V. Priezjev (2014) Dynamical heterogeneity in periodically deformed polymer glasses, Phys. Rev. E, vol. 89, art. no. 012601.
18.
Zurück zum Zitat I. Regev, J. Weber, C. Reichhardt, K. A. Dahmen, and T. Lookman (2015) Reversibility and criticality in amorphous solids, Nat. Commun., vol. 6, art. no. 8805. I. Regev, J. Weber, C. Reichhardt, K. A. Dahmen, and T. Lookman (2015) Reversibility and criticality in amorphous solids, Nat. Commun., vol. 6, art. no. 8805.
19.
Zurück zum Zitat N. V. Priezjev (2016) Reversible plastic events during oscillatory deformation of amorphous solids, Phys. Rev. E, vol. 93, art. no. 013001. N. V. Priezjev (2016) Reversible plastic events during oscillatory deformation of amorphous solids, Phys. Rev. E, vol. 93, art. no. 013001.
20.
Zurück zum Zitat T. Kawasaki and L. Berthier (2016) Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories, Phys. Rev. E, vol. 94, art. no. 022615. T. Kawasaki and L. Berthier (2016) Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories, Phys. Rev. E, vol. 94, art. no. 022615.
21.
Zurück zum Zitat N. V. Priezjev (2016) Nonaffine rearrangements of atoms in deformed and quiescent binary glasses, Phys. Rev. E, vol. 94, art. no. 023004. N. V. Priezjev (2016) Nonaffine rearrangements of atoms in deformed and quiescent binary glasses, Phys. Rev. E, vol. 94, art. no. 023004.
22.
Zurück zum Zitat P. Leishangthem, A. D. S. Parmar, and S. Sastry (2017) The yielding transition in amorphous solids under oscillatory shear deformation, Nat. Commun., vol. 8, art. no. 14653. P. Leishangthem, A. D. S. Parmar, and S. Sastry (2017) The yielding transition in amorphous solids under oscillatory shear deformation, Nat. Commun., vol. 8, art. no. 14653.
23.
Zurück zum Zitat N. V. Priezjev (2017) Collective nonaffine displacements in amorphous materials during large-amplitude oscillatory shear, Phys. Rev. E, vol. 95, art. no. 023002. N. V. Priezjev (2017) Collective nonaffine displacements in amorphous materials during large-amplitude oscillatory shear, Phys. Rev. E, vol. 95, art. no. 023002.
24.
Zurück zum Zitat M. Fan, M. Wang, K. Zhang, Y. Liu, J. Schroers, M. D. Shattuck, and C. S. O’Hern (2017) The effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible, Phys. Rev. E, vol. 95, art. no. 022611. M. Fan, M. Wang, K. Zhang, Y. Liu, J. Schroers, M. D. Shattuck, and C. S. O’Hern (2017) The effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible, Phys. Rev. E, vol. 95, art. no. 022611.
25.
Zurück zum Zitat N. V. Priezjev (2018) Molecular dynamics simulations of the mechanical annealing process in metallic glasses: Effects of strain amplitude and temperature, J. Non-Cryst. Solids, vol. 479, pp. 42-48. N. V. Priezjev (2018) Molecular dynamics simulations of the mechanical annealing process in metallic glasses: Effects of strain amplitude and temperature, J. Non-Cryst. Solids, vol. 479, pp. 42-48.
26.
Zurück zum Zitat N. V. Priezjev (2018) The yielding transition in periodically sheared binary glasses at finite temperature, Comput. Mater. Sci., vol. 150, pp. 162-68. N. V. Priezjev (2018) The yielding transition in periodically sheared binary glasses at finite temperature, Comput. Mater. Sci., vol. 150, pp. 162-68.
27.
Zurück zum Zitat N. V. Priezjev (2018) Slow relaxation dynamics in binary glasses during stress-controlled, tension-compression cyclic loading, Comput. Mater. Sci., vol. 153, pp. 235-240. N. V. Priezjev (2018) Slow relaxation dynamics in binary glasses during stress-controlled, tension-compression cyclic loading, Comput. Mater. Sci., vol. 153, pp. 235-240.
28.
Zurück zum Zitat I. Regev, C. Reichhardt, C. J. O. Reichhardt (2019) Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving, Modelling Simul. Mater. Sci. Eng., vol. 27, art. no. 084004. I. Regev, C. Reichhardt, C. J. O. Reichhardt (2019) Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving, Modelling Simul. Mater. Sci. Eng., vol. 27, art. no. 084004.
29.
Zurück zum Zitat N. V. Priezjev and M. A. Makeev (2019) The influence of periodic shear on structural relaxation and pore redistribution in binary glasses, J. Non-Cryst. Solids, vol. 506, pp. 14-20. N. V. Priezjev and M. A. Makeev (2019) The influence of periodic shear on structural relaxation and pore redistribution in binary glasses, J. Non-Cryst. Solids, vol. 506, pp. 14-20.
30.
Zurück zum Zitat N. V. Priezjev and M. A. Makeev (2019) Structural transformations during periodic deformation of low-porosity amorphous materials, Modelling Simul. Mater. Sci. Eng., vol. 27, art. no. 025004. N. V. Priezjev and M. A. Makeev (2019) Structural transformations during periodic deformation of low-porosity amorphous materials, Modelling Simul. Mater. Sci. Eng., vol. 27, art. no. 025004.
31.
Zurück zum Zitat K. Nagasawa, K. Miyazaki, and T. Kawasaki (2019) Classification of the reversible-irreversible transitions in particle trajectories across the jamming transition point, Soft Matter, vol. 15, pp. 7557-7566. K. Nagasawa, K. Miyazaki, and T. Kawasaki (2019) Classification of the reversible-irreversible transitions in particle trajectories across the jamming transition point, Soft Matter, vol. 15, pp. 7557-7566.
32.
Zurück zum Zitat N. V. Priezjev (2019) Accelerated relaxation in disordered solids under cyclic loading with alternating shear orientation, J. Non-Cryst. Solids, vol. 525, art. no. 119683. N. V. Priezjev (2019) Accelerated relaxation in disordered solids under cyclic loading with alternating shear orientation, J. Non-Cryst. Solids, vol. 525, art. no. 119683.
33.
Zurück zum Zitat W. Kob and H. C. Andersen (1995) Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture: The van Hove correlation function, Phys. Rev. E, vol. 51, pp. 4626-4641. W. Kob and H. C. Andersen (1995) Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture: The van Hove correlation function, Phys. Rev. E, vol. 51, pp. 4626-4641.
34.
Zurück zum Zitat T. A. Weber and F. H. Stillinger (1985) Local order and structural transitions in amorphous metal-metalloid alloys, Phys. Rev. B, vol. 31, pp. 1954-1963. T. A. Weber and F. H. Stillinger (1985) Local order and structural transitions in amorphous metal-metalloid alloys, Phys. Rev. B, vol. 31, pp. 1954-1963.
35.
Zurück zum Zitat S. J. Plimpton (1995) Fast parallel algorithms for short-range molecular dynamics, J. Comp. Phys., vol. 117, pp. 1-19. S. J. Plimpton (1995) Fast parallel algorithms for short-range molecular dynamics, J. Comp. Phys., vol. 117, pp. 1-19.
36.
Zurück zum Zitat M. P. Allen and D. J. Tildesley (1987) Computer Simulation of Liquids, Clarendon, Oxford M. P. Allen and D. J. Tildesley (1987) Computer Simulation of Liquids, Clarendon, Oxford
37.
Zurück zum Zitat M. L. Falk and J. S. Langer (1998) Dynamics of viscoplastic deformation in amorphous solids, Phys. Rev. E, vol. 57, pp. 7192-7205. M. L. Falk and J. S. Langer (1998) Dynamics of viscoplastic deformation in amorphous solids, Phys. Rev. E, vol. 57, pp. 7192-7205.
38.
Zurück zum Zitat V. Chikkadi and P. Schall (2012) Nonaffine measures of particle displacements in sheared colloidal glasses, Phys. Rev. E, vol. 85, art. no. 031402. V. Chikkadi and P. Schall (2012) Nonaffine measures of particle displacements in sheared colloidal glasses, Phys. Rev. E, vol. 85, art. no. 031402.
39.
Zurück zum Zitat F. Varnik, S. Mandal, V. Chikkadi, D. Denisov, P. Olsson, D. Vagberg, D. Raabe, and P. Schall (2014) Correlations of plasticity in sheared glasses, Phys. Rev. E, vol. 89, art. no. 040301. F. Varnik, S. Mandal, V. Chikkadi, D. Denisov, P. Olsson, D. Vagberg, D. Raabe, and P. Schall (2014) Correlations of plasticity in sheared glasses, Phys. Rev. E, vol. 89, art. no. 040301.
40.
Zurück zum Zitat J. Ding, Y. Q. Cheng, and E. Ma (2012) Correlating local structure with inhomogeneous elastic deformation in a metallic glass, Appl. Phys. Lett., vol. 101, art. no. 121917. J. Ding, Y. Q. Cheng, and E. Ma (2012) Correlating local structure with inhomogeneous elastic deformation in a metallic glass, Appl. Phys. Lett., vol. 101, art. no. 121917.
41.
Zurück zum Zitat N. V. Priezjev (2020) The effect of thermal history on the atomic structure and mechanical properties of amorphous alloys, Comput. Mater. Sci., vol. 174, art. no. 109477. N. V. Priezjev (2020) The effect of thermal history on the atomic structure and mechanical properties of amorphous alloys, Comput. Mater. Sci., vol. 174, art. no. 109477.
42.
Zurück zum Zitat N. V. Priezjev (2019) The effect of cryogenic thermal cycling on aging, rejuvenation, and mechanical properties of metallic glasses, J. Non-Cryst. Solids, vol. 503, pp. 131-138. N. V. Priezjev (2019) The effect of cryogenic thermal cycling on aging, rejuvenation, and mechanical properties of metallic glasses, J. Non-Cryst. Solids, vol. 503, pp. 131-138.
43.
Zurück zum Zitat N. V. Priezjev (2019) Aging and rejuvenation during elastostatic loading of amorphous alloys: A molecular dynamics simulation study, Comput. Mater. Sci., vol. 168, pp. 125-130. N. V. Priezjev (2019) Aging and rejuvenation during elastostatic loading of amorphous alloys: A molecular dynamics simulation study, Comput. Mater. Sci., vol. 168, pp. 125-130.
44.
Zurück zum Zitat M. Utz, P. G. Debenedetti, and F. H. Stillinger (2000) Atomistic simulation of aging and rejuvenation in glasses, Phys. Rev. Lett., vol. 84, pp. 1471–74. M. Utz, P. G. Debenedetti, and F. H. Stillinger (2000) Atomistic simulation of aging and rejuvenation in glasses, Phys. Rev. Lett., vol. 84, pp. 1471–74.
45.
Zurück zum Zitat K. Vollmayr, W. Kob, and K. Binder (1996) How do the properties of a glass depend on the cooling rate? A computer simulation study of a Lennard-Jones system, J. Chem. Phys., vol. 105, pp. 4714-4728. K. Vollmayr, W. Kob, and K. Binder (1996) How do the properties of a glass depend on the cooling rate? A computer simulation study of a Lennard-Jones system, J. Chem. Phys., vol. 105, pp. 4714-4728.
46.
Zurück zum Zitat N. V. Priezjev (2019) Atomistic modeling of heat treatment processes for tuning the mechanical properties of disordered solids, J. Non-Cryst. Solids, vol. 518, pp. 128-133. N. V. Priezjev (2019) Atomistic modeling of heat treatment processes for tuning the mechanical properties of disordered solids, J. Non-Cryst. Solids, vol. 518, pp. 128-133.
Metadaten
Titel
Spatiotemporal Analysis of Nonaffine Displacements in Disordered Solids Sheared Across the Yielding Point
verfasst von
Nikolai V. Priezjev
Publikationsdatum
28.04.2020
Verlag
Springer US
Erschienen in
Metallurgical and Materials Transactions A / Ausgabe 7/2020
Print ISSN: 1073-5623
Elektronische ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-020-05774-5

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