Table of Contents
ISRN Ceramics
Volume 2012, Article ID 595172, 11 pages
http://dx.doi.org/10.5402/2012/595172
Research Article

Comparative Study of Indentation Size Effects in As-Sintered Alumina and Alumina Shock Deformed at 6.5 and 12 GPa

1CSIR-Central Glass and Ceramic Research Institute, 196, Raja S.C. Mullick Road, Kolkata 700032, India
2Applied Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India

Received 10 September 2012; Accepted 30 September 2012

Academic Editors: S.-S. Lin and P. Thavorniti

Copyright © 2012 Riya Chakraborty et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Z. Rosenberg, D. Yaziv, Y. Yeshurun, and S. J. Bless, “Shear strength of shock-loaded alumina as determined with longitudinal and transverse manganin gauges,” Journal of Applied Physics, vol. 62, no. 3, pp. 1120–1122, 1987. View at Publisher · View at Google Scholar · View at Scopus
  2. T. Mashimo, Y. Hanaoka, and K. Nagayama, “Elastoplastic properties under shock compression of Al2O3 single crystal and polycrystal,” Journal of Applied Physics, vol. 63, no. 2, pp. 327–336, 1988. View at Publisher · View at Google Scholar · View at Scopus
  3. D. E. Grady, “Shock-wave compression of brittle solids,” Mechanics of Materials, vol. 29, no. 3-4, pp. 181–203, 1998. View at Google Scholar · View at Scopus
  4. M. W. Chen, J. W. McCauley, D. P. Dandekar, and N. K. Bourne, “Dynamic plasticity and failure of high-purity alumina under shock loading,” Nature Materials, vol. 5, no. 8, pp. 614–618, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. G. R. Anstis, P. Chantikul, B. R. Lawn, and D. B. Marshall, “A critical evaluation of indentation techniques for measuring fracture toughness: I, direct crack measurements,” Journal of the American Ceramic Society, vol. 64, no. 9, pp. 533–538, 1981. View at Google Scholar
  6. A. Krell and P. Blank, “Grain size dependence of hardness in dense submicrometer alumina,” Journal of the American Ceramic Society, vol. 78, no. 4, pp. 1118–1120, 1995. View at Google Scholar · View at Scopus
  7. A. Franco, S. G. Roberts, and P. D. Warren, “Fracture toughness, surface flaw sizes and flaw densities in Al2O3,” Acta Materialia, vol. 45, no. 3, pp. 1009–1015, 1997. View at Google Scholar · View at Scopus
  8. A. Krell and S. Schädlich, “Nanoindentation hardness of submicrometer alumina ceramics,” Materials Science and Engineering A, vol. 307, no. 1-2, pp. 172–181, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. A. Krell, P. Blank, H. Ma, T. Hutzler, and M. Nebelung, “Processing of high-density submicrometer Al2O3 for new applications,” Journal of the American Ceramic Society, vol. 86, no. 4, pp. 546–553, 2003. View at Google Scholar · View at Scopus
  10. Q. Ma and D. R. Clarke, “Size dependent hardness of silver single crystals,” Journal of Materials Research, vol. 10, no. 4, pp. 853–863, 1995. View at Google Scholar · View at Scopus
  11. S. J. Bull, T. F. Page, and E. H. Yoffe, “An explanation of the indentation size effect in ceramics,” Philosophical Magazine Letters, vol. 59, no. 6, pp. 281–288, 1989. View at Google Scholar · View at Scopus
  12. N. K. Mukhopadhyay and P. Paufler, “Micro- and nanoindentation techniques for mechanical characterisation of materials,” International Materials Reviews, vol. 51, no. 4, pp. 209–245, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Peng, J. Gong, and H. Miao, “On the description of indentation size effect in hardness testing for ceramics: analysis of the nanoindentation data,” Journal of the European Ceramic Society, vol. 24, no. 8, pp. 2193–2201, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. E. O. Bernhardt, “On microhardness of solids at the limit of kick’s similarity law,” Zeitschrift Fur Metallkunde, vol. 33, no. 3, pp. 135–144, 1941 (German). View at Google Scholar
  15. W. D. Nix and H. Gao, “Indentation size effects in crystalline materials: a law for strain gradient plasticity,” Journal of the Mechanics and Physics of Solids, vol. 46, no. 3, pp. 411–425, 1998. View at Google Scholar · View at Scopus
  16. M. F. Horstemeyer, M. I. Baskes, and S. J. Plimpton, “Length scale and time scale effects on the plastic flow of fcc metals,” Acta Materialia, vol. 49, no. 20, pp. 4363–4374, 2001. View at Publisher · View at Google Scholar · View at Scopus
  17. A. Iost and R. Bigot, “Indentation size effect: reality or artefact?” Journal of Materials Science, vol. 31, no. 13, pp. 3573–3577, 1996. View at Google Scholar · View at Scopus
  18. H. Li, A. Ghosh, Y. H. Han, and R. C. Bradt, “The frictional component of the indentation size effect in low load microhardness testing,” Journal of Materials Research, vol. 8, no. 5, pp. 1028–1032, 1993. View at Google Scholar · View at Scopus
  19. M. V. Swain and M. Wittling, “Indentation cracking of brittle thin films on brittle substrates,” in Fracture Mechanics of Ceramics, R. C. Bradt, Ed., vol. 11, pp. 379–387, Plenum Press, New Work, NY, USA, 1996. View at Google Scholar
  20. J. Gong and Z. Guan, “Load dependence of low-load Knoop hardness in ceramics: a modified PSR model,” Materials Letters, vol. 47, no. 3, pp. 140–144, 2001. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. X. Gao and H. Fan, “A micro-mechanism based analysis for size-dependent indentation hardness,” Journal of Materials Science, vol. 37, no. 20, pp. 4493–4498, 2002. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Dey, A. K. Mukhopadhyay, S. Gangadharan, M. K. Sinha, and D. Basu, “Weibull modulus of nano-hardness and elastic modulus of hydroxyapatite coating,” Journal of Materials Science, vol. 44, no. 18, pp. 4911–4918, 2009. View at Publisher · View at Google Scholar · View at Scopus
  23. C. Hays and E. G. Kendall, “An analysis of Knoop microhardness,” Metallography, vol. 6, no. 4, pp. 275–282, 1973. View at Google Scholar · View at Scopus
  24. H. Li and R. C. Bradt, “Knoop microhardness anisotropy of single-crystal LaB6,” Materials Science and Engineering A, vol. 142, no. 1, pp. 51–61, 1991. View at Google Scholar · View at Scopus
  25. H. G. M. Kreuzer and R. Pippan, “Discrete dislocation simulation of nanoindentation: indentation size effect and the influence of slip band orientation,” Acta Materialia, vol. 55, no. 9, pp. 3229–3235, 2007. View at Publisher · View at Google Scholar · View at Scopus
  26. T. M. Gross and M. Tomozawa, “Fictive temperature-independent density and minimum indentation size effect in calcium aluminosilicate glass,” Journal of Applied Physics, vol. 104, no. 6, Article ID 063529, 10 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. A. K. Mukhopadhyay, K. D. Joshi, A. Dey et al., “Shock deformation of coarse grain alumina above Hugoniot elastic limit,” Journal of Materials Science, vol. 45, no. 13, pp. 3635–3651, 2010. View at Publisher · View at Google Scholar · View at Scopus
  28. R. Chakraborty, A. Dey, A. K. Mukhopadhyay et al., “Nanohardness of sintered and shock deformed alumina,” Metallurgical and Materials Transactions A, vol. 43, no. 2, pp. 459–470, 2012. View at Google Scholar
  29. A. K. Mukhopadhyay, K. D. Joshi, A. Dey et al., “Electron microscopy of shock deformation in alumina,” Ceramics International, vol. 37, no. 7, pp. 2365–2376, 2011. View at Publisher · View at Google Scholar · View at Scopus
  30. R. Chakraborty, A. Dey, A. K. Mukhopadhyay et al., “Indentation size effect of alumina ceramic shocked at 12 GPa,” International Journal of Refractory Metals and Hard Materials, vol. 33, pp. 22–32, 2012. View at Google Scholar
  31. A. K. Mukhopadhyay, K. D. Joshi, A. Dey et al., “Nanoindentation of shock deformed alumina,” Materials Science and Engineering A, vol. 527, no. 24-25, pp. 6478–6483, 2010. View at Publisher · View at Google Scholar · View at Scopus
  32. W. C. Oliver and G. M. Pharr, “An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments,” Journal of Materials Research, vol. 7, no. 6, pp. 1564–1583, 1992. View at Google Scholar · View at Scopus
  33. D. Chakravarty, S. Bysakh, K. Muraleedharan, T. N. Rao, and R. Sundaresan, “Spark plasma sintering of magnesia-doped alumina with high hardness and fracture toughness,” Journal of the American Ceramic Society, vol. 91, no. 1, pp. 203–208, 2008. View at Publisher · View at Google Scholar · View at Scopus
  34. Y. Huang, F. Zhang, K. C. Hwang, W. D. Nix, G. M. Pharr, and G. Feng, “A model of size effects in nano-indentation,” Journal of the Mechanics and Physics of Solids, vol. 54, no. 8, pp. 1668–1686, 2006. View at Publisher · View at Google Scholar · View at Scopus
  35. T. Ebisu and S. Horibe, “Analysis of the indentation size effect in brittle materials from nanoindentation load-displacement curve,” Journal of the European Ceramic Society, vol. 30, no. 12, pp. 2419–2426, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. A. C. Fischer-Cripps, “Critical review of analysis and interpretation of nanoindentation test data,” Surface and Coatings Technology, vol. 200, no. 14-15, pp. 4153–4165, 2006. View at Publisher · View at Google Scholar · View at Scopus
  37. M. Sakai, “Energy principle of the indentation-induced inelastic surface deformation and hardness of brittle materials,” Acta Metallurgica et Materialia, vol. 41, no. 6, pp. 1751–1758, 1993. View at Google Scholar · View at Scopus
  38. G. Subhash, S. Maiti, P. H. Geubelle, and D. Ghosh, “Recent advances in dynamic indentation fracture, impact damage and fragmentation of ceramics,” Journal of the American Ceramic Society, vol. 91, no. 9, pp. 2777–2791, 2008. View at Publisher · View at Google Scholar · View at Scopus
  39. D. J. Morris, S. B. Myers, and R. F. Cook, “Sharp probes of varying acuity: instrumented indentation and fracture behavior,” Journal of Materials Research, vol. 19, no. 1, pp. 165–175, 2004. View at Google Scholar · View at Scopus
  40. J. S. Field, M. V. Swain, and R. D. Dukino, “Determination of fracture toughness from the extra penetration produced by indentation-induced pop-in,” Journal of Materials Research, vol. 18, no. 6, pp. 1412–1419, 2003. View at Google Scholar · View at Scopus
  41. G. D. Quinn, P. Green, and K. Xu, “Cracking and the indentation size effect for knoop hardness of glasses,” Journal of the American Ceramic Society, vol. 86, no. 3, pp. 441–448, 2003. View at Google Scholar · View at Scopus
  42. R. Nowak, T. Sekino, and K. Niihara, “Surface deformation of sapphire crystal,” Philosophical Magazine A, vol. 74, no. 1, pp. 171–194, 1996. View at Google Scholar · View at Scopus
  43. J. E. Bradby, S. O. Kucheyev, J. S. Williams et al., “Indentation-induced damage in GaN epilayers,” Applied Physics Letters, vol. 80, no. 3, pp. 383–385, 2002. View at Publisher · View at Google Scholar · View at Scopus
  44. S. O. Kucheyev, J. E. Bradby, J. S. Williams, C. Jagadish, and M. V. Swain, “Mechanical deformation of single-crystal ZnO,” Applied Physics Letters, vol. 80, no. 6, pp. 956–958, 2002. View at Publisher · View at Google Scholar · View at Scopus
  45. H. Bei, Z. P. Lu, and E. P. George, “Theoretical strength and the onset of plasticity in bulk metallic glasses investigated by nanoindentation with a spherical indenter,” Physical Review Letters, vol. 93, no. 12, Article ID 125504, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  46. C. E. Packard and C. A. Schuh, “Initiation of shear bands near a stress concentration in metallic glass,” Acta Materialia, vol. 55, no. 16, pp. 5348–5358, 2007. View at Publisher · View at Google Scholar · View at Scopus
  47. H. Shang, T. Rouxel, M. Buckley, and C. Bernard, “Viscoelastic behavior of a soda-lime-silica glass in the 293-833 K range by micro-indentation,” Journal of Materials Research, vol. 21, no. 3, pp. 632–638, 2006. View at Publisher · View at Google Scholar · View at Scopus
  48. W. G. Mao, Y. G. Shen, and C. Lu, “Deformation behavior and mechanical properties of polycrystalline and single crystal alumina during nanoindentation,” Scripta Materialia, vol. 65, no. 2, pp. 127–130, 2011. View at Publisher · View at Google Scholar · View at Scopus
  49. W. G. Mao, Y. G. Shen, and C. Lu, “Nanoscale elastic-plastic deformation and stress distributions of the C plane of sapphire single crystal during nanoindentation,” Journal of the European Ceramic Society, vol. 31, no. 10, pp. 1865–1871, 2011. View at Publisher · View at Google Scholar · View at Scopus