Estimate of theoretical shear strength of C60 single crystal by nanoindentation
Source abstract
Abstract
Abstract The onset of plasticity in a single crystal C60 fullerite was investigated by nanoindentation on the (111) crystallographic plane. The transition from elastic to plastic deformation in a contact was observed as pop-in events on loading curves. The respective resolved shear stresses were computed for the octahedral slip systems $$\langle{01}\overline{1}\rangle\left\{ {{111}} \right\}$$, supposing that their activation resulted in the onset of plasticity. A finite element analysis was applied, which reproduced the elastic loading until the first pop-in, using a realistic geometry of the Berkovich indenter blunt tip. The obtained estimate of the C60 theoretical shear strength was about $${1}/{11}$$ of the shear modulus on {111} planes. Graphical abstract
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Research context
OpenAlex topics: Metal and Thin Film Mechanics · Diamond and Carbon-based Materials Research · Boron and Carbon Nanomaterials Research
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References (51)
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1. Frenkel J (1926) Zur Theorie der Elastizitätsgrenze und der Festigkeit kristallinischer Körper. Zeitschrift für Physik 37(7):572–60910.1007/BF01397292 ↗
2. Berezhkova GV (1969) Nitevidnye Kristally [Whiskers]., Moscow: Nauka. 158
3. Kelly A (1973) Strong Solids, 2nd edn. Clarendon Press, Oxford, p 285
4. Bei H et al (2007) Compressive strengths of molybdenum alloy micro-pillars prepared using a new technique. Scr Mater 57(5):397–40010.1016/j.scriptamat.2007.05.010 ↗
5. Sung TH et al (2012) Yielding and plastic slip in ZnO. Appl Phys Lett 100(21):21190310.1063/1.4720169 ↗
6. Sharma A, Hickman J, Gazit N et al (2018) Nickel nanoparticles set a new record of strength. Nat Commun 9:4102. https://doi.org/10.1038/S41467-018-06575-610.1038/S41467-018-06575-6 ↗
7. Kushch VI, Dub SN, Litvin PM (2007) Determination of the young modulus from elastic section of the Berkovich indenter loading curve. J Superhard Mater 29(4):228–23410.3103/S1063457607040065 ↗
8. Rhee Y-W et al (2001) Brittle fracture versus quasi plasticity in ceramics: a simple predictive index. J Am Ceram Soc 84(3):561–56510.1111/j.1151-2916.2001.tb00698.x ↗
9. Dub SN et al (2017) Theoretical shear strength and the onset of plasticity in nanodeformation of cubic boron nitride. J Superhard Mater 39(2):88–9810.3103/S1063457617020034 ↗
10. Michalske TA, Houston JE (1998) Dislocation nucleation at nano-scale mechanical contacts. Acta Mater 46(2):391–39610.1016/S1359-6454(97)00270-X ↗
11. Zbib AA, Bahr DF (2007) Dislocation nucleation and source activation during nanoindentation yield points. Metall Mater Trans A 38(13):2249–225510.1007/s11661-007-9284-5 ↗
12. Bei H et al (2008) Strength differences arising from homogeneous versus heterogeneous dislocation nucleation. Phys Rev B 77(6):4. https://doi.org/10.1103/PhysRevB.77.06010310.1103/PhysRevB.77.060103 ↗
13. Göken M, Kempf M (2001) Pop-ins in nanoindentation: the initial yield point. Z Metallkd 92(9):1061–1067
14. Krenn CR et al (2002) Connecting atomistic and experimental estimates of ideal strength. Phys Rev B 65(13):134111. https://doi.org/10.1103/PhysRevB.65.13411110.1103/PhysRevB.65.134111 ↗
15. Bei H, Lu ZP, George EP (2004) Theoretical strength and the onset of plasticity in bulk metallic glasses investigated by nanoindentation with a spherical indenter. Phys Rev Lett 93(12):125504. https://doi.org/10.1103/PhysRevLett.93.12550410.1103/PhysRevLett.93.125504 ↗
16. Minor AM et al (2006) A new view of the onset of plasticity during the nanoindentation of aluminium. Nat Mater 5(9):697–70210.1038/nmat1714 ↗
17. Barnoush A (2012) Correlation between dislocation density and nanomechanical response during nanoindentation. Acta Mater 60(3):1268–127710.1016/j.actamat.2011.11.034 ↗
18. Wang Z et al (2011) Influences of surface preparation on nanoindentation pop-in in single-crystal Mo. Scr Mater 65(6):469–47210.1016/j.scriptamat.2011.05.030 ↗
19. Guo T et al (2018) Initiation of basal slip and tensile twinning in magnesium alloys during nanoindentation. J Alloys Compnd 731:620–63010.1016/j.jallcom.2017.10.088 ↗
20. Mao WG, Shen YG, Lu C (2011) Deformation behavior and mechanical properties of polycrystalline and single crystal alumina during nanoindentation. Scr Mater 65(2):127–13010.1016/j.scriptamat.2011.03.022 ↗
21. Nowak R et al (1996) Deformation of sapphire induced by a spherical indentation on the (101̄0) plane. Appl Phys Lett 68(8):1063–106510.1063/1.115713 ↗
22. Guicciardi S, Melandri C, Monteverde FT (2010) Characterization of pop-in phenomena and indentation modulus in a polycrystalline ZrB2 ceramic. J Eur Ceram Soc 30(4):1027–103410.1016/j.jeurceramsoc.2009.10.014 ↗
23. Dub SN et al (2017) Mechanical properties of single crystals of transition metals diborides TmB2 (Tm = Sc, Hf, Zr, Ti): experiment and theory. J Superhard Mater 39(5):308–31810.3103/S1063457617050021 ↗
24. Caldas PG et al (2017) Plasticity and optical properties of GaN under highly localized nanoindentation stress fields. J Appl Phys 121(12):125105. https://doi.org/10.1063/1.497801810.1063/1.4978018 ↗
25. Zhao X et al (2011) Onset plastic deformation and cracking behavior of silicon carbide under contact load at room temperature. J Am Ceram Soc 94(10):3509–351410.1111/j.1551-2916.2011.04674.x ↗
26. Bradby JE, Williams JS, Swain MV (2004) Pop-in events induced by spherical indentation in compound semiconductors. J Mater Res 19(1):380–38610.1557/jmr.2004.19.1.380 ↗
27. Lodes MA et al (2011) Influence of dislocation density on the pop-in behavior and indentation size effect in CaF2 single crystals: experiments and molecular dynamics simulations. Acta Mater 59(11):4264–427310.1016/j.actamat.2011.03.050 ↗
28. Varughese S et al (2013) Nanoindentation in crystal engineering: quantifying mechanical properties of molecular crystals. Angew Chem Int Ed 52(10):2701–271210.1002/anie.201205002 ↗
29. Lubenets SV et al (2019) Low-temperature mechanical properties of fullerites: structure, elasticity, plasticity, strength. Low Temp Phys 45(1):1–3810.1063/1.5082308 ↗
30. Richter A et al (2000) Nanoindentation of diamond, graphite and fullerene films. Diam Relat Mater 9(2):170–18410.1016/S0925-9635(00)00188-6 ↗
31. Pukha VE et al (2007) The structure and nanoindentation of C60 films. Funct Mater 14(2):209–211
32. Funamori Y et al (2020) Large elastic deformation of C60 nanowhiskers. Carbon 169:65–7210.1016/j.carbon.2020.07.061 ↗
33. Johnson KL (1985) Contact mechanics. Cambridge University Press, Cambridge10.1017/CBO9781139171731 ↗
34. Li TL et al (2011) Indentation Schmid factor and orientation dependence of nanoindentation pop-in behavior of NiAl single crystals. J Mech Phys Solids 59(6):1147–116210.1016/j.jmps.2011.04.003 ↗
35. Tymiak N et al (2009) Role of competition between slip and twinning in nanoscale deformation of sapphire. Phys Rev B. https://doi.org/10.1103/PhysRevB.79.17411610.1103/PhysRevB.79.174116 ↗
36. Aota N, Tachibana M, Kojima K (2008) Dislocation motions in C60 crystals by an indentation test. J Phys D-Appl Phys 41(7):07400210.1088/0022-3727/41/7/074002 ↗
37. Lubenets SV et al (1997) The structure, slip systems, and microhardness of C60 crystals. Low Temp Phys 23(3):251–26110.1063/1.593358 ↗
38. Tachibana M et al (1995) Slip systems in C60 single crystals. Appl Phys Lett 67(18):2618–262010.1063/1.114314 ↗
39. Oliver WC, Pharr GM (2004) Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. J Mater Res 19(1):3–2010.1557/jmr.2004.19.1.3 ↗
40. Dub S, Novikov N, Milman Y (2002) The transition from elastic to plastic behaviour in an Al-Cu-Fe quasicrystal studied by cyclic nanoindentation. Philos Mag A 82(10):2161–217210.1080/01418610208235725 ↗
41. Tachibana M et al (1994) Temperature dependence of the microhardness of C60 crystals. Phys Rev B 49(21):14945–1494810.1103/PhysRevB.49.14945 ↗
42. Tachibana M, Sakuma H, Kojima K (1997) Photo-illumination hardening of C60 crystals. J Appl Phys 82(9):4253–425810.1063/1.366232 ↗
43. Dub SN et al. (2020) Nanoindentation of pure and gas-saturated fullerite C60 crystals: elastic-to-plastic transition, hardness, elastic modulus. Low Temp Phys. Accepted For Publication10.1063/10.0002159 ↗
44. Dub SN, Zasimchuk IK, Matvienko LF (2011) Effect of solid solution strengthening by iridium on the nucleation of dislocations in a molybdenum single crystal during nanoindentation. Phys Solid State 53(7):1404–141110.1134/S1063783411070080 ↗
45. Sato Y, Shinzato S, Ohmura T et al (2020) Unique universal scaling in nanoindentation pop-ins. Nat Commun 11(1):4177. https://doi.org/10.1038/s41467-020-17918-710.1038/s41467-020-17918-7 ↗
46. Wang Y et al (2004) Orientation dependence of nanoindentation pile-up patterns and of nanoindentationmicrotextures in copper single crystals. Acta Mater 52(8):2229–223810.1016/j.actamat.2004.01.016 ↗
47. Kobelev NP et al (1998) Elastic moduli of single-crystal C60. Phys Solid State 40(1):154–15610.1134/1.1130260 ↗
48. Kindrachuk VM, Fedelich B (2011) Stress update algorithm for the combined viscoplastic and plastic behaviours of single-crystal superalloys. Int J Numer Meth Eng 88(1):83–10210.1002/nme.3172 ↗
49. Knowles KM, Howie PR (2015) The directional dependence of elastic stiffness and compliance shear coefficients and shear moduli in cubic materials. J Elast 120(1):87–10810.1007/s10659-014-9506-1 ↗
50. Van Tendeloo G et al (1993) Structures and phase transitions in C60 and C70 fullerites. Ultramicroscopy 51(1):168–18810.1016/0304-3991(93)90145-N ↗
51. Komatsu T, Tachibana M, Kojima K (2001) Plastic deformation of C60 single crystals. Philos Mag A 81(3):659–66610.1080/01418610108212165 ↗