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Journal of Advanced Ceramics

, Volume 2, Issue 1, pp 87–102 | Cite as

Determination of fracture toughness using the area of micro-crack tracks left in brittle materials by Vickers indentation test

  • Alireza MoradkhaniEmail author
  • Hamidreza Baharvandi
  • Mehdi Tajdari
  • Hamidreza Latifi
  • Jukka Martikainen
Open Access
Research Article

Abstract

In this article, a new method has been presented for the estimation of fracture toughness in brittle materials, which enjoys improved accuracy and reduced costs associated with fracture toughness testing procedure compared to similar previous methods, because a vast range of specimens with irregular cracks can be accommodated for testing. Micron-sized alumina powders containing 0.05 wt% magnesium oxide (MgO) nanoparticles were mixed and also together with 2.5 vol%, 5 vol%, 7.5 vol%, 10 vol%, and 15 vol% of silicon carbide (SiC) nanopowders separately. By making and testing various types of ceramics with different mechanical properties, and considering the irregular cracks around the indented area caused by Vickers diamond indenter, a semi-empirical fracture toughness equation has been obtained.

Keywords

fracture toughness mechanical properties nanocomposites indentation 

References

  1. [1]
    Wang MD, Shaw L. Effects of the powder manufacturing method on microstructure and wear performance of plasma sprayed alumina-titania coatings. Surf Coat Technol 2007, 202: 34–44.CrossRefGoogle Scholar
  2. [2]
    Vullo P, Davis MJ. Comparative study of micro-indentation and Chevron notch fracture toughness measurements of silicate and phosphate glasses. J Non-Cryst Solids 2004, 349: 180–184.CrossRefGoogle Scholar
  3. [3]
    Mukhopadhyay AK, Datta SK, Chakraborty D. Fracture toughness structural ceramic. Ceram Int 1999, 25: 447–454.CrossRefGoogle Scholar
  4. [4]
    Tsukuma K, Shimada M. Strength, fracture toughness and Vickers hardness of CeO2-stabilized tetragonal ZrO2 polycrystals (Ce-TZP). J Mater Sci 1985, 20: 1178–1184.CrossRefGoogle Scholar
  5. [5]
    Nose T, Fujii T. Evaluation of fracture toughness for ceramic materials by a single-edge-precracked-beam method. J Am Ceram Soc 1988, 71: 328–333.CrossRefGoogle Scholar
  6. [6]
    Miyazaki H, Hyuga H, Hirao K, et al. Comparison of fracture resistance as measured by the indentation fracture method and fracture toughness determined by the single-edge-precracked beam technique using silicon nitrides with different microstructures. J Eur Ceram Soc 2007, 27: 2347–2354.CrossRefGoogle Scholar
  7. [7]
    Wang J, Zheng XH, Stevens R. Fabrication and microstructure-mechanical property relationships in Ce-TZPs. J Mater Sci 1992, 27: 5348–5356.CrossRefGoogle Scholar
  8. [8]
    Rice RW. Microstructural dependence of fracture energy and toughness of ceramics and ceramic composites versus that of their tensile strengths at 22 °C. J Mater Sci 1996, 31: 4503–4519.CrossRefGoogle Scholar
  9. [9]
    Kruzic JJ, Kim DK, Koester KJ, et al. Indentation techniques for evaluating the fracture toughness of biomaterials and hard tissues. J Mech Behav Biomed 2009, 2: 384–395.CrossRefGoogle Scholar
  10. [10]
    Sakharova NA, Fernandes JV, Antunes JM, et al. Comparison between Berkovich, Vickers and conical indentation tests: A three-dimensional numerical simulation study. Int J Solids Struct 2009, 46: 1095–1104.CrossRefGoogle Scholar
  11. [11]
    Li M, Chen WM, Liang NG, et al. A numerical study of indentation using indenters of different geometry. J Mater Res 2004, 19: 73–78.CrossRefGoogle Scholar
  12. [12]
    Palmqvist S. Indentation hardness and fracture toughness in single crystal. Jernkontorets Ann 1957, 141: 300–306.Google Scholar
  13. [13]
    Mullins LP, Bruzzi MS, McHugh PE. Measurement of the microstructural fracture toughness of cortical bone using indentation fracture. J Biomech 2007, 40: 3285–3288.CrossRefGoogle Scholar
  14. [14]
    Palmqvist S. Energy causing cracks at corners of Vickers indentations as measure of toughness of hard metals. Archiv fuer das Eisenhuettenwes 1962, 33: 629–634.Google Scholar
  15. [15]
    Anstis GR, Chantikul P, Lawn BR, et al. A critical evaluation of indentation techniques for measuring fracture toughness: I, Direct crack measurements. J Am Ceram Soc 1981, 64: 533–538.CrossRefGoogle Scholar
  16. [16]
    Ponton CB, Rawlings RD. Vickers indentation fracture toughness test Part 1: Review of literature and formulation of standardized indentation toughness equations. Mater Sci Tech 1989, 5: 865–872.CrossRefGoogle Scholar
  17. [17]
    Ponton CB, Rawlings RD. Vickers indentation fracture toughness test Part 2: Application and critical evaluation of standardized indentation toughness equations. Mater Sci Tech 1989, 5: 961–976.CrossRefGoogle Scholar
  18. [18]
    Bamzai KK, Kotru PN, Wanklyn BM. Fracture mechanics, crack propagation and microhardness studies on flux grown ErAlO3 single crystals. J Mater Sci Technol 2000, 16: 405–410.Google Scholar
  19. [19]
    Bhat DG. Comment on “Elastic/plastic indentation damage in ceramics: The median/radial crack system”. J Am Ceram Soc 1981, 64: C-165–C-166.CrossRefGoogle Scholar
  20. [20]
    Bhat M, Kaur B, Kumar R, et al. Effect of ion irradiation on dielectric and mechanical characteristics of ErFeO3 single crystals. Nucl Instrum Meth B 2005, 234: 494–508.CrossRefGoogle Scholar
  21. [21]
    Dub SN, Maistrenko AL. Reliability of ceramics fracture toughness measurements by indentation. In Fracture Mechanics of Ceramics. Brandt RC, Hasselman DPH, Munz D, et al. Eds. New York: Plenum Press, 1992, 10: 109–118.CrossRefGoogle Scholar
  22. [22]
    Glandus JC, Rouxel T, Tai Q. Study of the Y-TZP toughness by an indentation method. Ceram Int 1991, 17: 129–135.CrossRefGoogle Scholar
  23. [23]
    Niihara K, Morena R, Hasselman DPH. Evaluation of KIC of brittle solids by the indentation method with low crack-to-indent ratios. J Mater Sci Lett 1982, 1: 13–16.CrossRefGoogle Scholar
  24. [24]
    Shetty DK, Wright IG, Mincer PN, et al. Indentation fracture of WC-Co cermets. J Mater Sci 1985, 20: 1873–1882.CrossRefGoogle Scholar
  25. [25]
    Japanese Standards Association. J IS R-1607. Testing method for fracture toughness of high performance ceramics. 1990.Google Scholar
  26. [26]
    Evans AG, Charles EA. Fracture toughness determinations by indentation. J Am Ceram Soc 1976, 59: 371–372.CrossRefGoogle Scholar
  27. [27]
    Evans AG. Fracture toughness: The role of indentation techniques. In Fracture Mechanics Applied to Brittle Materials. Freiman SW, Ed. ASTM International, 1979: 112–135.CrossRefGoogle Scholar
  28. [28]
    Lawn BR, Evans AG, Marshall DB. Elastic/plastic indentation damage in ceramics: The median/radial crack system. J Am Ceram Soc 1980, 63: 574–581.CrossRefGoogle Scholar
  29. [29]
    Lawn BR, Fuller ER. Equilibrium penny-like cracks in indentation fracture. J Mater Sci 1975, 10: 2016–2024.CrossRefGoogle Scholar
  30. [30]
    ASTM International. ASTM C1327-08. Standard test method for Vickers indentation hardness of advanced ceramics.Google Scholar
  31. [31]
    ASTM International. ASTM C769-98. Standard test method for sonic velocity in manufactured carbon and graphite materials for use in obtaining an approximate Young’s modulus.Google Scholar
  32. [32]
    Ahmadzadeh M, Baharvandi HR, Abdizadeh H, et al. Synthesis of nano-size MgO powder by chemical deposition of low cost raw materials. Int J Mod Phys B 2008, 22: 3185–3192.CrossRefGoogle Scholar
  33. [33]
    Jeong Y K, Nihara K. Microstructure and properties of alumina-silicon carbide nanocomposite fabricate by pressurelless sintering and post hot-isostatic pressing. Trans Nonferrous Met Soc China 2011, 21: s1–s6.CrossRefGoogle Scholar
  34. [34]
    Anya CC, Roberts SG. Pressureless sintering and elastic constants of A12O3-SiC nanocomposites. J Eur Ceram Soc 1997, 17: 565–573.CrossRefGoogle Scholar
  35. [35]
    Sternitzke M. Structural ceramic nanocomposites. J Eur Ceram Soc 1997, 17: 1061–1082.CrossRefGoogle Scholar
  36. [36]
    Gogotsi GA. Fracture toughness of ceramics and ceramic composites. Ceram Int 2003, 29: 777–784.CrossRefGoogle Scholar
  37. [37]
    Anya CC, Roberts SG. Indentation fracture toughness and surface faw analysis of sintered alumina/SiC nanocomposites. J Eur Ceram Soc 1996, 16: 1107–1114.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2013

This article is published under license to BioMed Central Ltd. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Alireza Moradkhani
    • 1
    Email author
  • Hamidreza Baharvandi
    • 2
  • Mehdi Tajdari
    • 3
  • Hamidreza Latifi
    • 4
  • Jukka Martikainen
    • 4
  1. 1.Department of Mechanical Engineering, Science and Research BranchIslamic Azad University, Hesarak, PoonakTehranIran
  2. 2.Department of Materials EngineeringMalek Ashtar University of Technology, LavizanTehranIran
  3. 3.Department of Mechanical Engineering, Science and Research BranchIslamic Azad UniversityArakIran
  4. 4.Department of Mechanical Engineering, Laboratory of Welding TechnologyLappeenranta University of TechnologyLappeenrantaFinland

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