DOI QR코드

DOI QR Code

Cracking Threshold Analysis for Nanoindetation Using 3D Finite-Element Method

3차원 유한요소법을 이용한 나노압입에 의한 균열발생 하한계 해석

  • Published : 2004.03.01

Abstract

In this paper, cracking threshold for nanoindentation is analyzed by using 3D finited-element method. The analysis by maximum principal stress criterion can obtain the reliable results for determining to crack initiation location and load. Because the ratio of maximum principal stress to indentation depth for Victors indentation is smaller than flat-plane-column indentation and cracking for Victors indentation occurs from the inner part of specimen difficult to measure crack length, the nanoindentation facture test for flat-plane-column indentation is more effective.

Keywords

References

  1. Veprek, S., 1999, J. Vac. Sci. Technol. A, Vol. 17, No. 5, pp. 2401-2420.
  2. Maschico,R.D. and Nobile, L., 1995, 'A Simplifield Approach for Ceramic Fracture Toughness Evaluation by Indentation,' Eng. . Fracture Mech. Vol. 51, No. 2, pp. 209-215.
  3. Lawn, B.R.;Evans, A.G.;Marshall, D.B., 1980, 'Elasticplastic Indentation Damage in Ceramics:The Median/Radial Crack System,' J. Am. Ceram. Soc., Vol. 63, pp. 574-581. https://doi.org/10.1111/j.1151-2916.1980.tb10768.x
  4. Pharr, G.M. Harding, D.S.and Oliver, W.C., 1963, 'Measurement of Fracture Toughness in Thin Films and Small Volumes using Nanoindentation Methods,' Mechanical Properies and Deformation Behavior of Materials Properformation Behavior of Materials Having Ultra-Film Microstructures (M. Nastasi, D.M. Parkin and H. Gleiter, eds), Kluwer Academic Pubishers, Dordecht, The Netherlands, pp. 449-461.
  5. Pharr, G.M., 1998, 'Measurement of Mechanical Properties by Ultra-low Load Indentation, Mater. Sci. and Engng, A, Vol. 253, pp. 151-159. https://doi.org/10.1016/S0921-5093(98)00724-2
  6. Chen, X. and Hutchinson, 2001, 'Foreign Object Damage and Fatigue Crack Threshold:Cracking Outside Shollow Indents,' Int. J. of Fract. Vol. 107, pp. 31-51. https://doi.org/10.1023/A:1026543021702
  7. Karimi, A., Wang, Y. Cselle,T. and Morstein, M., 2002, 'Fracture Mechanisms in Nanoscale Layered Hard Thin Films,' Thin Solid Films, Vol. 420-421. pp. 275-280. https://doi.org/10.1016/S0040-6090(02)00944-6
  8. He, J.L. and Veprek, S., 2003, 'Finite Element Modeling of Indentation into Superhard Coating,' Surf. and Coat. Tech., Vol. 163-164, pp. 374-379. https://doi.org/10.1016/S0257-8972(02)00628-X
  9. Callahan, D.L. and Morris, I.C., 1981, 'The Extent of Phase Transformation in Silicon Hardness Indentation,' J. Mater. Rec. Vol. 7, pp. 1614-1617.
  10. Chrysakis, A., 1986, 'A New Criterion of Mixed-Mode Crack Propagation Based on the Maximization of Principal Stress $\sigma_1$,' Engng. Fracture Mech., Vol. 24, No. 3, pp. 361-369. https://doi.org/10.1016/0013-7944(86)90067-6
  11. Erdogan, F.and Sih, G.C., 1963, 'On the Crack Extension in Plates under Plane Loading and Transverse Shear,' J. of Basic Engng. Trans. ASME, Vol. 85D, pp. 519-525.
  12. Doemer, M.F.and Nix, W.D., 1986, 'A Method for Interpreting the Data and from Depth-Sensing Indentation Instrument,' J. Mater. Rec. Vol. 1, pp. 601-609. https://doi.org/10.1557/JMR.1986.0601
  13. Bhushan, B., 1990, Tribology and Mechanics of Magnetic Storage Devices, Springer-Verlag, New-York.
  14. Irwin, G.R., 1957, 'Crack Extension Force for a Part-Through Crack in a Plate,' J. of Appl. Mech., Vol. 24, pp. 361-364.
  15. Pharr, G.M., 1992, 'The Anomalos Behavior of Silicone During Nanoindentation,' Thin Film:Stress and Mechanical Properties III(W.D. Nix, J. C. Bravman, E. Azart and L.B. Freund, eds.), Materials Research society, Pittsburgh, VoL,239, p.301.
  16. Page, T. F. and Hainsworth, 1993, S.V. Surf. Coatings Tech., Vol. 61, p. 201.
  17. Bozzini, B.and Boniardi, M., 2001, 'A Model for the Evaluation of Indentation Crack Arrest Fracture Toughness of Supported Films,' J. of Materials Sci., Vol. 36, pp.511-518. https://doi.org/10.1023/A:1004853318333