Toughness measurement of thin films based on circumferential cracks induced at conical indentation

International Journal of Fracture

Volumn 193, Issue 2, 2015, Pages 117-130

  Madsen, N D ^a   Steffensen, S ^a   Jensen, H M ^a   Bottiger J ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

Coating failure; Fracture toughness; Indentation induced fracture; Ring cracks; Thin hard films

Indexed keywords

ALUMINA; CRACKS; FINITE ELEMENT METHOD; FRACTURE; HARD COATINGS; INDENTATION; SCANNING ELECTRON MICROSCOPY; THICKNESS MEASUREMENT;

CIRCUMFERENTIAL CRACKS; CLOSED-FORM EXPRESSION; COATING FAILURES; CONICAL INDENTATION; HARD FILMS; PULSED MAGNETRON SPUTTERING; RING CRACKS; TOUGHNESS MEASUREMENT;

FRACTURE TOUGHNESS;

EID: 84931575929     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-015-0022-5     Document Type: Article

References (36)

1. Abdul-Baqi A, der Giessen EV (2002) Numerical analysis of indentation induced cracking of brittle coatings on ductile substrates. Int J Solids Struct 39:1427–1442
2. Bathe K-J (1996) Finite element procedures, 1st edn. Prentice Hall, Upper Saddle River
3. Beuth JL (1992) Cracking of thin bonded films in residual tension. Int J Solids Struct 29(13):1657–1675
4. Bull SJ (2011) Analysis methods and size effects in the indentation fracture toughness assessment of very thin oxide coatings on glass. C R Mec 339(7–8):518–531. doi:10.1016/j.crme.2011.05.009
5. Chai H, Lawn B, Wuttiphan S (1999) Fracture modes in brittle coatings with large interlayer modulus mismatch. J Mater Res 14(9):3805–3817
6. Chai H, Lawn B (2004) Fracture mode transitions in brittle coatings on compliant substrates as function of thickness. J Mater Res 19(6):1752–1761
7. Chen Z, Cotterell B, Wang W (2002) The fracture of brittle thin films on compliant substrates in flexible displays. Eng Fract Mech 69(5):597–603. doi:10.1016/S0013-7944(01)00104-7
8. Courtney TH (1990) Mechanical behavior of materials, 1st edn. McGraw-Hill, New York City
9. Di Maio D, Roberts S (2011) Measuring fracture toughness of coatings using focused-ion-beam-machined microbeams. J Mater Res 20(02):299–302. doi:10.1557/JMR.2005.0048
10. Doege E, Meyer-Nolkemper H, Saeed I (1986) Fliesskurvenatlas metallischer Werkstoffe. Hanser, München
11. Fischercripps A (2006) Critical review of analysis and interpretation of nanoindentation test data. Surf Coat Technol 200(14–15):4153–4165. doi:10.1016/j.surfcoat.2005.03.018
12. Gao H, Huang Y, Nix WD, Hutchinson JW (1999) Mechanism-based strain gradient plasticity: I. Theory. J Mech Phys Solids 47:1239–1263
13. Guzman MSD, Newbauer G, Flinn P, Nix WD (1993) The role of indentation depth on the measured hardness of materials. Mater Res Symp Proc 308:613–618
14. Holmberg K, Laukkanen A, Ronkainen H, Wallin K, Varjus S (2003) A model for stresses, crack generation and fracture toughness calculation in scratched TiN-coated steel surfaces. Wear 254(3–4):278–291. doi:10.1016/S0043-1648(02)00297-1
15. Li X, Diaot D, Bhushans B (1997) Fracture mechanisms of thin amorphous carbon films in nanoindentation. Acta Mater 45(11):4453–4461
16. Ma Q, Clarke DR (1995) Size dependent hardness of silver single crystals. J Mater Res 10(4):853–863
17. McElhaney KW, Vlassak JJ, Nix WD (1998) Determination of indenter tip geometry and indentation contact area for depth-sensing indentation experiments. J Mater Res 13(5):1300–1306
18. Morasch K, Bahr D (2007) An energy method to analyze through thickness thin film fracture during indentation. Thin Solid Films 515(6):3298–3304. doi:10.1016/j.tsf.2006.01.043
19. Nix WD (1989) Mechanical properties of thin films. Metall Trans A 20(11):2217–2245
20. Oliver WC, Pharr GM (1992) An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 7(6):1564
21. Poole WJ, Ashby MF, Fleck NA (1996) Micro-hardness of annealed and work-hardened copper polycrystals. Scr Mater 34(4):559–564
22. Quinn GD, Bradt RC (2007) On the Vickers indentation fracture toughness test. J Am Ceram Soc 90(3):673–680. doi:10.1111/j.1551-2916.2006.01482.x
23. Ranade AN, Rama Krishna L, Li Z, Wang J, Korach CS, Chung Y-W (2012) Relationship between hardness and fracture toughness in Ti-Ti B2 nanocomposite coatings. Surf Coat Technol 213:26–32. doi:10.1016/j.surfcoat.2012.10.007
24. Rouxel T, Ji H, Guin JP, Augereau F, Rufflé B (2010) Indentation deformation mechanism in glass: densification versus shear flow. J Appl Phys 107(9):094903. doi:10.1063/1.3407559
25. Schiffmann KI (2011) Determination of fracture toughness of bulk materials and thin films by nanoindentation: comparison of different models. Philos Mag 91(7–9):1163–1178. doi:10.1080/14786435.2010.487984
26. Sriram K, Narasimhan R, Biswas SK (2003) A numerical fracture analysis of indentation into thin hard films on soft substrates. Eng Fract Mech 70:1323–1338
27. Steffensen S, Madsen ND, Jensen HM (2013) Numerical estimation of fracture toughness from indentation-induced circumferential cracking in thin films on ductile substrates. Int J Solids Struct 50:3406–3417
28. Steffensen S, Jensen HM (2014) Energy release rate for circular crack due to indentation in a brittle film on a ductile substrate. Eur J Mech A Solids 43:133–141
29. Steffensen S, Jensen HM (2015) Circular channel cracks during indentation in thin films on ductile substrates. Comput Mater Sci 98:263–270
30. Stelmashenko NA, Walls MG, Brown LM, Milman YV (1993) Microindentation on w and mo oriented single crystals: an stm study. Acta Metall Mater 41(10):2855–2865
31. Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook, 3rd edn. Professional Engineering Publishing, London
32. Vanimisetti SK, Narasimhan R (2007) A numerical analysis of flexure induced cylindrical cracks during indentation of thin hard films on soft substrates. Thin Solid Films 515:3277–3282
33. Weppelmann E, Swain MV (1996) Investigation of stresses and stress intensity factors responsible for fracture of thin protective films during ultra-micro indentation tests with spherical indenters. Thin Solid Films 286:111–121
34. Wiklund U, Bromark M, Larsson M, Hedenqvist P, Hogmark S (1997) Cracking resistance of thin hard coatings estimated by four-point bending. Surf Coat Technol 91(1–2):57–63. doi:10.1016/S0257-8972(96)03123-4
35. Zhang S, Sun D, Fu Y, Pei Y, De Hosson J (2005) Ni-toughened nc-TiN/a-SiNx nanocomposite thin films. Surf Coat Technol 200(5–6):1530–1534. doi:10.1016/j.surfcoat.2005.08.080.38
36. Zhang S, Zhang X (2012) Toughness evaluation of hard coatings and thin films. Thin Solid Films 520:2375–2389