journal article·2021-05-06Open access

Site dependence of surface dislocation nucleation in ceramic nanoparticles

Jonathan Amodeo, Emile Maras, David Rodney

npj Computational Materials· Volume 7· Issue 1

Abstract

Abstract The extremely elevated strength of nanoceramics under compression arises from the necessity to nucleate highly energetic dislocations from the surface, in samples that are too small to contain pre-existing defects. Here, we investigate the site dependence of surface dislocation nucleation in MgO nanocubes using a combination of molecular dynamics simulations, nudged-elastic-band method calculations and rate theory predictions. Using an original simulation setup, we obtain a complete mapping of the potential dislocation nucleation sites on the surface of the nanoparticle and find that, already at intermediate temperature, not only nanoparticle corners are favorable nucleation sites, but also the edges and even regions on the side surfaces, while other locations are intrinsically unfavorable. Results are discussed in the context of recent in situ TEM experiments, sheding new lights on the deformation mechanisms happening during ceramic nanopowder compaction and sintering processes.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Microstructure and mechanical properties · Aluminum Alloys Composites Properties · Advanced ceramic materials synthesis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Timoshenko, S. In History of strength of materials vol. 58 (McGraw-Hill, 1953).
2. Kendall, K. The impossibility of comminuting small particles by compression. Nature 272, 710–711 (1978).10.1038/272710a0 ↗
3. Ishikawa, T., Kohtoku, Y., Kumagawa, K., Yamamura, T. & Nagasawa, T. High-strength alkali-resistant sintered SiC fibre stable to 2,200 ∘C. Nature 391, 773–775 (1998).10.1038/35820 ↗
4. Gerberich, W. W. et al. Superhard silicon nanospheres. J. Mech. Phys. Solids 51, 979–992 (2003).10.1016/S0022-5096(03)00018-8 ↗
5. Korte, S. & Clegg, W. Discussion of the dependence of the effect of size on the yield stress in hard materials studied by microcompression of MgO. Philos. Mag. A 91, 1150–1162 (2011).10.1080/14786435.2010.505179 ↗
6. Issa, I. et al. In situ investigation of MgO nanocube deformation at room temperature. Acta Mater. 86, 295–304 (2015).10.1016/j.actamat.2014.12.001 ↗
7. Frankberg, E. J. et al. Highly ductile amorphous oxide at room temperature and high strain rate. Science 366, 864–869 (2019).10.1126/science.aav1254 ↗
8. Uchic, M. D., Dimiduk, D. M., Florando, J. N. & Nix, W. D. Sample dimensions influence strength and crystal plasticity. Science 305, 986–989 (2004).10.1126/science.1098993 ↗
9. Weygand, D., Poignant, M. & Gumbsch, P. Three-dimensional dislocation dynamics simulation of the influence of sample size on the stress-strain behavior of fcc single-crystalline pillars. Mater. Sci. Eng. A 483-484, 188–190 (2008).10.1016/j.msea.2006.09.183 ↗
10. Greer, J., Weinberger, C. & Cai, W. Comparing the strength of fcc and bcc sub-micrometer pillars: compression experiments and dislocation dynamics simulations. Mater. Sci. Eng. A 493, 21–25 (2008).10.1016/j.msea.2007.08.093 ↗
11. Richter, G. et al. Ultrahigh strength single crystalline nanowhiskers grown by physical vapor deposition. Nano Lett. 9, 3048–3052 (2009).10.1021/nl9015107 ↗
12. Jennings, A. T., Li, J. & Greer, J. R. Emergence of strain-rate sensitivity in Cu nanopillars: transition from dislocation multiplication to dislocation nucleation. Acta Mater. 59, 5627–5637 (2011).10.1016/j.actamat.2011.05.038 ↗
13. Weinberger, C. R., Jennings, A. T., Kang, K. & Greer, J. R. Atomistic simulations and continuum modeling of dislocation nucleation and strength in gold nanowires. J. Mech. Phys. Solids 60, 84–103 (2012).10.1016/j.jmps.2011.09.010 ↗
14. Greer, J. & De Hosson, J. Plasticity in small-sized metallic systems: intrinsic versus extrinsic size effect. Prog. Mater. Sci. 56, 654–724 (2011).10.1016/j.pmatsci.2011.01.005 ↗
15. Östlund, F. et al. Brittle-to-ductile transition in uniaxial compression of silicon pillars at room temperature. Adv. Funct. Mater. 19, 2439–2444 (2009).10.1002/adfm.200900418 ↗
16. Zou, Y. & Spolenak, R. Size-dependent plasticity in KCl and LiF single crystals: influence of orientation, temperature, pre-straining and doping. Philos. Mag. A 95, 1–19 (2015).10.1080/14786435.2014.984005 ↗
17. Merabet, A. et al. Low-temperature intrinsic plasticity in silicon at small scales. Acta Mater. 161, 54–60 (2018).10.1016/j.actamat.2018.09.025 ↗
18. Kiener, D. & Minor, A. M. Source truncation and exhaustion: insights from quantitative in situ TEM tensile testing. Nano Lett. 11, 3816–3820 (2011).10.1021/nl201890s ↗
19. Mordehai, D. et al. Size effect in compression of single-crystal gold microparticles. Acta Mater. 59, 5202–5215 (2011).10.1016/j.actamat.2011.04.057 ↗
20. Mordehai, D., David, O. & Kositski, R. Nucleation-controlled plasticity of metallic nanowires and nanoparticles. Adv. Mater. 305, 1706710–17 (2018).10.1002/adma.201706710 ↗
21. Jonsson, H., Mills, G. & Jacobsen, K. W. In Classical and quantum dynamics in condensed phase simulations (eds. Berne, G. C. B. J. & Coker, D. F.) 385–404 (World Scientific, 1998).
22. Henkelman, G., Uberuaga, B. P. & Jónsson, H. A climbing image nudged elastic band method for finding saddle points and minimum energy paths. J. Chem. Phys. 113, 9901–9904 (2000).10.1063/1.1329672 ↗
23. Maras, E., Pizzagalli, L., Ala-Nissila, T. & Jonsson, H. Atomic scale formation mechanism of edge dislocation relieving lattice strain in a GeSi overlayer on Si(001). Sci. Rep. 7, 482 (2017).10.1038/s41598-017-12009-y ↗
24. Zhu, T., Li, J., Samanta, A., Leach, A. & Gall, K. Temperature and strain-rate dependence of surface dislocation nucleation. Phys. Rev. Lett. 100, 025502 (2008).10.1103/PhysRevLett.100.025502 ↗
25. Jennings, A., Weinberger, C., Lee, S. & Aitken, Z. Modeling dislocation nucleation strengths in pristine metallic nanowires under experimental conditions. Acta Mater. 61, 2244–2259 (2013).10.1016/j.actamat.2012.12.044 ↗
26. Li, Q.-J., Xu, B., Hara, S., Li, J. & Ma, E. Sample-size-dependent surface dislocation nucleation in nanoscale crystals. Acta Mater. 145, 19–29 (2018).10.1016/j.actamat.2017.11.048 ↗
27. Hulse, C., Copley, S. & Pask, J. Effect of crystal orientation on plastic deformation of magnesium oxide. J. Am. Cer. Soc. 46, 317–323 (1963).10.1111/j.1151-2916.1963.tb11738.x ↗
28. Copley, S. & Pask, J. Plastic deformation of MgO single crystals up to 1600 C. J. Am. Cer. Soc. 48, 139–146 (1965).10.1111/j.1151-2916.1965.tb16050.x ↗
29. Routbort, J. L. Work-hardening and creep of MgO. Acta Metal. 27, 649–661 (1979).10.1016/0001-6160(79)90016-6 ↗
30. Appel, F. & Wielke, B. Low temperature deformation of impure MgO single crystals. Mater. Sci. Eng. 73, 97–103 (1985).10.1016/0025-5416(85)90299-X ↗
31. Messerschmidt, U. Dislocation dynamics during plastic deformation vol. 129 (Springer Series in Materials Science, 2010).10.1007/978-3-642-03177-9 ↗
32. Amodeo, J. et al. Dislocations and plastic deformation in MgO crystals: a review. Crystals 8, 240–53 (2018).10.3390/cryst8060240 ↗
33. Amodeo, J., Carrez, P., Devincre, B. & Cordier, P. Multiscale modelling of MgO plasticity. Acta Mater. 59, 2291–2301 (2011).10.1016/j.actamat.2010.12.020 ↗
34. Korte, S., Ritter, M., Jiao, C., Midgley, P. A. & Clegg, W. J. Three-dimensional electron backscattered diffraction analysis of deformation in MgO micropillars. Acta Mater. 59, 7241–7254 (2011).10.1016/j.actamat.2011.08.022 ↗
35. Montagne, A., Audurier, V. & Tromas, C. Influence of pre-existing dislocations on the pop-in phenomenon during nanoindentation in MgO. Acta Mater. 61, 4778–4786 (2013).10.1016/j.actamat.2013.05.004 ↗
36. Hulse, C. & Pask, J. Mechanical properties of magnesia single crystals compression. J. Am. Cer. Soc. 43, 373–378 (1960).10.1111/j.1151-2916.1960.tb13674.x ↗
37. Alfè, D. Melting curve of MgO from first-principles simulations. Phys. Rev. Lett. 94, 235701 (2005).10.1103/PhysRevLett.94.235701 ↗
38. Reed, J. S. Introduction to the Principles of Ceramic Processing (Wiley, 1995).
39. Oberacker, R. Powder compaction by dry pressing. Cer. Sci. Technol. 3, 3—37 (2012).
40. Plimpton, S. Fast parallel algorithms for short-range molecular-dynamics. J. Comput. Phys. 117, 1–19 (1995).10.1006/jcph.1995.1039 ↗
41. Hirel, P. Atomsk: A tool for manipulating and converting atomic data files. Comput. Phys. Commun. 197, 212–219 (2015).10.1016/j.cpc.2015.07.012 ↗
42. Stukowski, A. Visualization and analysis of atomistic simulation data with OVITO-the Open Visualization Tool. Model. Simul. Mater. Sci. Eng. 18, 7pp (2010).10.1088/0965-0393/18/1/015012 ↗
43. Henkelman, G., Uberuaga, B., Harris, D., Harding, J. & Allan, N. MgO addimer diffusion on MgO(100): a comparison of ab initio and empirical models. Phys. Rev. B 72, 115437 (2005).10.1103/PhysRevB.72.115437 ↗
44. Carrez, P., Godet, J. & Cordier, P. Atomistic simulations of $$\frac{1}{2}\langle 110\rangle$$ screw dislocation core in magnesium oxide. Comput. Mater. Sci. 103, 250–255 (2015).10.1016/j.commatsci.2014.10.019 ↗
45. Hardy, D. J., Stone, J. E. & Schulten, K. Multilevel summation of electrostatic potentials using graphics processing units. Parallel Comput. 35, 164–177 (2009).10.1016/j.parco.2008.12.005 ↗
46. Hoover, W. G. Canonical dynamics: equilibrium phase-space distributions. Phys. Rev. A 31, 1695–1697 (1985).10.1103/PhysRevA.31.1695 ↗