journal article·2009-07

Indentation-induced subsurface tunneling cracks as a means for evaluating fracture toughness of brittle coatings

Herzl Chai

International Journal of Fracture· Volume 158· Issue 1
Publisher page

Abstract

When a plate glued to a compliant substrate is subject to indentation, cracks may initiate from its subsurface due to flexure. Upon increasing the load, the damage develops into a set of tunnel radial cracks which propagate stably under a diminishing stress field. This phenomenon is utilized here to extract fracture toughness K C for brittle materials in the form of thin plates or films. Experiments show that the SIF at the tip of the subsurface radial cracks is well approximated as K ~ P/c 3/2, where P is the indentation load and c the mean length of the crack fragments. Using a transparent substrate, c can be easily determined after unloading, from which K C is found. This simple and economic concept is applied to a wide variety of thin ceramic coatings, yielding toughness data consistent with literature values. Because the tip of the tunneling cracks are well removed from the contact site, the method circumvents certain complications encountered in common top-surface radial cracking techniques such as the effect of plastic deformation, residual stresses and crack extension after unloading. Although the present tests are limited to coating thicknesses >150 μm, it is believed that thinner coatings may be studied as well provided that the indenter radius is kept sufficiently small to insure that subsurface radial cracking dominates over all other failure modes.
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Research context

OpenAlex topics: Metal and Thin Film Mechanics · Advanced ceramic materials synthesis · Advanced materials and composites

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References (28)

Show source-provided references
1. Andersons J, Timmermans PHM, Modniks J (2007) Mechanics of tunnelling cracks in trilayer elastic materials in tension. Int J Fract 148: 233–241. doi: 10.1007/s10704-008-9197-310.1007/s10704-008-9197-3 ↗
2. Antis GR, Chantikul P, Lawn BR, Marshall DB (1981) A critical evaluation of indentation techniques for measuring fracture toughness: I, direct crack measurements. J Am Ceram Soc 81: 533–538. doi: 10.1111/j.1151-2916.1981.tb10320.x10.1111/j.1151-2916.1981.tb10320.x ↗
3. Beuth JL (1992) Cracking of thin bonded films in residual tension. Int J Solids Struct 29: 1657–1675. doi: 10.1016/0020-7683(92)90015-L10.1016/0020-7683(92)90015-L ↗
4. Borrero-López O, Hoffman M, Bendavid A, Martin PJ (2008) A simple nanoindentation-based methodology to assess the strength of brittle thin films. Acta Mater 56: 1633–1641. doi: 10.1016/j.actamat.2007.12.00710.1016/j.actamat.2007.12.007 ↗
5. Cao YQ (2002) Three-dimensional finite element modeling of subsurface median crack in trilayer sandwiches due to contact loading. Eng Fract Mech 69: 729–743. doi: 10.1016/S0013-7944(01)00092-310.1016/S0013-7944(01)00092-3 ↗
6. Chai H, Lawn BR, Wuttiphan S (1999) Fracture in brittle coatings with large interlayer modulus mismatch. J Mater Res 14: 3805–3817. doi: 10.1557/JMR.1999.051410.1557/JMR.1999.0514 ↗
7. Chai H (2003) Fracture mechanics analysis of thin coatings under spherical indentation. Int J Fract 119: 263–285. doi: 10.1023/A:102391392711810.1023/A:1023913927118 ↗
8. Chai H, Lawn BR (2004) Fracture mode transitions in brittle coatings on compliant substrates as a function of thickness. J Mater Res 19: 1752–1761. doi: 10.1557/JMR.2004.021910.1557/JMR.2004.0219 ↗
9. Chai H (2005) Transverse fracture in thin-film coatings under spherical indentation. Acta Mater 53: 487–498. doi: 10.1016/j.actamat.2004.10.00610.1016/j.actamat.2004.10.006 ↗
10. Chai H (2006) Crack propagation in glass coatings under expanding spherical contact. J Mech Phys Solids 54: 447–466. doi: 10.1016/j.jmps.2005.10.00410.1016/j.jmps.2005.10.004 ↗
11. Chai H, Lawn BR (2007) A universal relation for edge chipping from sharp contacts in brittle materials and its use as a simple means of toughness evaluation. Acta Mater 55: 2555–2561. doi: 10.1016/j.actamat.2006.10.06110.1016/j.actamat.2006.10.061 ↗
12. Chai H, Ravichandran G (2009) On the mechanics of fracture in monoliths and multilayers from low-velocity impact by sharp or blunt-tip projectiles. Int J Impact Eng 36: 375–385. doi: 10.1016/j.ijimpeng.2008.07.06510.1016/j.ijimpeng.2008.07.065 ↗
13. Constantinides G, Tweedie CA, Holbrook DM, Barragan P, Smith JF, Krystyn J, Vlietl V (2008) Quantifying deformation and energy dissipation of polymeric surfaces under localized impact. Mater Sci Eng A 489: 403–412
14. Ericson F (1988) Hardness and fracture toughness of semiconducting materials studied by indentation and erosion techniques. Mater Sci Eng A 105(106): 131–14110.1016/0025-5416(88)90489-2 ↗
15. Espinosa HD, Peng B (2005) A new methodology to investigate fracture toughness of freestanding MEMS and advanced materials in thin film form. J Microelectromech Syst 14: 153–159. doi: 10.1109/JMEMS.2004.83901310.1109/JMEMS.2004.839013 ↗
16. Huang B, Zhao M-H, Zhangy T-Y (2004) Indentation fracture and indentation delamination in ZnO film/Si substrate systems. Philos Mag 84: 1233–1256. doi: 10.1080/1478643031000165311610.1080/14786430310001653116 ↗
17. Huang H, Dallimore MP, Pan J, McCormick PG (1998) An investigation of the effect of powder on the impact characteristics between a ball and a plate using free falling experiments. Mater Sci Eng A 241: 38–47. doi: 10.1016/S0921-5093(97)00470-X10.1016/S0921-5093(97)00470-X ↗
18. Jungk JM, Boyce BL, Buchheit TE, Friedmann TA, Yang D, Gerberich WW (2006) Indentation fracture toughness and acoustic energy release rate in tetrahedral amorphous carbon diamond-like thin films. Acta Mater 54: 4043–4052. doi: 10.1016/j.actamat.2006.05.00310.1016/j.actamat.2006.05.003 ↗
19. Kim H-W, Deng Y, Miranda P, Pajares A, Kim DK, Kim H-E, Lawn BR (2001) Effect of flaw state on the strength of brittle coatings on soft substrates. J Am Ceram Soc 84: 2377–238410.1111/j.1151-2916.2001.tb01018.x ↗
20. Kim JH, Lee H-K, Kim DK (2006) Strength measurement of a brittle coating with a trilayer structure using instrumented indentation and in situ observation techniques. Philos Mag 86: 5383–5396. doi: 10.1080/1478643060079656910.1080/14786430600796569 ↗
21. Lawn BR, Wilshaw R (1975) Indentation fracture: principle and applications. J Mater Sci 10: 1049–1081. doi: 10.1007/BF0082322410.1007/BF00823224 ↗
22. Michler J, Blank E (2001) Analysis of coating fracture and substrate plasticity induced by spherical indentors: diamond and diamond-like carbon layers on steel substrates. Thin Solid Films 381: 119–134. doi: 10.1016/S0040-6090(00)01340-710.1016/S0040-6090(00)01340-7 ↗
23. Rudas M, Qasim T, Bush MB, Lawn BR (2005) Failure of curved brittle layer systems from radial cracking in concentrated surface loading. J Mater Res 20: 2812–2819. doi: 10.1557/JMR.2005.034310.1557/JMR.2005.0343 ↗
24. Sharpe WN, Yuan B, Edwards RL (1997) Fracture tests of polysilicon film. Mater Res Soc Symp Proc 505: 51–5610.1557/PROC-505-51 ↗
25. Thurn J, Cook RF (2004) Mechanical and thermal properties of physical vapour deposited alumina films Part II elastic, plastic, fracture, and adhesive behaviour. J Mater Sci 39: 4809–4819. doi: 10.1023/B:JMSC.0000035319.81486.6210.1023/B:JMSC.0000035319.81486.62 ↗
26. Timoshenko S, Woinowsky-Krieger S (1959) Theory of plates and shells. McGraw-Hill, New York
27. Wang JS, Sugimura Y, Evans AG, Tredway WK (1998) The mechanical performance of DLC films on steel substrates. Thin Solid Films 325: 163–174. doi: 10.1016/S0040-6090(98)00418-010.1016/S0040-6090(98)00418-0 ↗
28. Xie Z-H, Singh R, Bendavid A, Martin PJ, Munroe PR, Hoffman M (2007) Contact damage evolution in a diamond-like carbon (DLC) coating on a stainless steel substrate. Thin Solid Films 515: 3196–3201. doi: 10.1016/j.tsf.2006.01.03510.1016/j.tsf.2006.01.035 ↗