Abstract
We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the form of collective avalanches. We investigate their characterization through energy vs. stress drops and at multiple stages of deformation, thus revealing a change of spatial extent of the avalanches and degree of stress correlations as deformation progresses. We show that the statistics of stress and energy drops only become comparable for large events in the steady flow regime. Results for the critical exponents of the yielding transition are discussed in the context of prior studies of similar type, revealing the influence of model glass and preparation history.
Graphical Abstract
Similar content being viewed by others
Data Availability
The raw simulation data can be obtained from the authors upon request.
Code Availability
The LAMMPS code (https://lammps.sandia.gov/) was used for all simulations in this work.
References
Maloney, C., Lemaître, A.: Phys. Rev. Lett. 93, 016001 (2004)
Tanguy, A., Leonforte, F., Barrat, J.L.: Eur. Phys. J. E 20(3), 355 (2006)
Bailey, N.P., Schiøtz, J., Lemaître, A., Jacobsen, K.W.: Phys. Rev. Lett. 98, 095501 (2007)
Rodney, D., Tanguy, A., Vandembroucq, D.: Modell. Simul. Mater. Sci. Eng. 19(8), 083001 (2011)
Dahmen, K.A., Ben-Zion, Y., Uhl, J.T.: Nat. Phys. 7(7), 554 (2011)
Sun, B.A., Yu, H.B., Jiao, W., Bai, H.Y., Zhao, D.Q., Wang, W.H.: Phys. Rev. Lett. 105, 035501 (2010)
Antonaglia, J., Wright, W.J., Gu, X., Byer, R.R., Hufnagel, T.C., LeBlanc, M., Uhl, J.T., Dahmen, K.A.: Phys. Rev. Lett. 112, 155501 (2014)
Denisov, D., Lörincz, K., Uhl, J., Dahmen, K., Schall, P.: Nat. Commun. 7(1), 1 (2016)
Ozawa, M., Berthier, L., Biroli, G., Rosso, A., Tarjus, G.: Proc. Natl. Acad. Sci. 115(26), 6656 (2018)
Müser, M.H.: Phys. Rev. Lett. 89, 224301 (2002). https://doi.org/10.1103/PhysRevLett.89.224301
Salerno, K.M., Maloney, C.E., Robbins, M.O.: Phys. Rev. Lett. 109, 105703 (2012)
Salerno, K.M., Robbins, M.O.: Phys. Rev. E 88, 062206 (2013)
Zhang, D., Dahmen, K.A., Ostoja-Starzewski, M.: Phys. Rev. E 95, 032902 (2017)
Oyama, N., Mizuno, H., Ikeda, A.: Unified view of avalanche criticality in sheared glasses. arxiv:2009.02635 (2020)
Shang, B., Guan, P., Barrat, J.L.: Proc. Natl. Acad. Sci. 117(1), 86 (2020)
Lançon, F., Billard, L.: J. Phys. France 49(2), 249 (1988)
Falk, M.L., Langer, J.S.: Phys. Rev. E 57, 7192 (1998)
Barbot, A., Lerbinger, M., Hernandez-Garcia, A., García-García, R., Falk, M.L., Vandembroucq, D., Patinet, S.: Phys. Rev. E 97, 033001 (2018)
Lerner, E., Procaccia, I.: Phys. Rev. E 79, 066109 (2009)
Ruscher, C., Rottler, J.: Soft Matter 16(38), 8940 (2020)
Lin, J., Lerner, E., Rosso, A., Wyart, M.: Proc. Natl. Acad. Sci. 111(40), 14382 (2014)
Lin, J., Saade, A., Lerner, E., Rosso, A., Wyart, M.: EPL (Europhys. Lett.) 105(2), 26003 (2014)
Tyukodi, B., Vandembroucq, D., Maloney, C.E.: Phys. Rev. E 100, 043003 (2019)
Ferrero, E.E., Jagla, E.A.: Soft Matter 15(44), 9041 (2019)
Korchinski, D., Ruscher, C., Rottler, J.: Signatures of the spatial extent of plastic events in the yielding transition in amorphous solids. arxiv: 2101.10688 (2021)
Liu, C., Ferrero, E.E., Puosi, F., Barrat, J.L., Martens, K.: Phys. Rev. Lett. 116, 065501 (2016)
Jagla, E.A.: Phys. Rev. E 92, 042135 (2015)
Talamali, M., Petäjä, V., Vandembroucq, D., Roux, S.: Phys. Rev. E 84, 016115 (2011)
Scalliet, C., Berthier, L., Zamponi, F.: Phys. Rev. E 99, 012107 (2019)
Karmakar, S., Lerner, E., Procaccia, I.: Phys. Rev. E 82, 055103 (2010)
Hentschel, H.G.E., Jaiswal, P.K., Procaccia, I., Sastry, S.: Phys. Rev. E 92, 062302 (2015)
Acknowledgements
Computing resources were provided by Compute Canada and by the HPC resources of IDRIS under the allocation 2020-A0090912010 made by GENCI. C.R acknowledges financial support by the ANR LatexDry Project Grant ANR-18-CE06-0001 of the French Agence Nationale de la Recherche.
Funding
Computing resources were provided by Compute Canada and by the HPC resources of IDRIS under the allocation 2020-A0090912010 made by GENCI. C.R acknowledges financial support by the ANR LatexDry project grant ANR-18-CE06-0001 of the French Agence Nationale de la Recherche.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ruscher, C., Rottler, J. Avalanches in the Athermal Quasistatic Limit of Sheared Amorphous Solids: An Atomistic Perspective. Tribol Lett 69, 64 (2021). https://doi.org/10.1007/s11249-021-01439-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11249-021-01439-5