Study of fracture toughness in B4C-TiB2 Nanocomposites with Vickers indentation test method at different loads

Document Type : Research Article

Authors

Abstract

According to widespread and increasing efficiency of ceramics in different industries, identification their mechanical properties with minimum time and cost is important for the optimal design. In this paper, B4C nanocomposite samples with a volume of 10% of TiB2were prepared and the values of density, hardness and Elasticity modulus were determined and then the fracture toughness values were calculated by using various fracture toughness formula with Vickers indentation test method in loads of 100N and 150N and their results were compared to each other. The results show that the modified equation with using cracks leads high accuracy and efficiency compared to other relations. It also concluded that the growth mechanism due to different loads affects on the results of fracture toughness values.

Keywords


[1] Eul S. K., Cheol W. J., “Effect of iron and boron carbide on the densification and mechanical properties of titanium diboride ceramic”, Journal of American Ceramic Society, Vol. 72, pp. 1868- 1872, 1989.
[2] Feber M. K., Becher P. F., “Effect of microstructure on the properties of TiB2 Ceramics”, Journal of American Ceramic Society. Vol.66 No. 1, pp. 1, 1983.
[3] Logan K. V., “process for making highly reactive sub-micron amorphous titanium diboride powder and products made there from”, U. S. Patent. Vol. 5, 160, pp. 716.
[4] Gillies. D. C., lewis, D, “Bond strenghth in diborides of some group IV and V metals”, Journal of the less common metals, Vol. 12, pp. 202- 209, 1976.
[5] Shim K. B, Wiencinski J. K., “Grain boundry structure in Titanium diboride”, Materials science, Vol. 189-190, pp. 129- 134, 1995.
[6] Schery A., “Hard and peotective materials ” Hand book of thin film process technology, Institute of physics publishing, Philadelphia, 1995.
[7] Scheneider S. J.; “Engineering materials Handbook ” vol. 5, pp. 32- 36.
[8] Weimer A. W., “Carbide, Nitride and boride materials synthesis and processing”, 1997
[9] Medvedovski E., “Alumina Ceramics for Ballistic Protection, part 1”, Journal of the American Ceramic Society, Vol. 81, No. 3, pp. 27- 32, 2002.
[10] Medvedovski E., “Alumina Ceramics for Ballistic Protection, part 2”, Journal of the American Ceramic Society, Vol. 81, No. 4, pp. 45- 50, 2002.
[11] Palmqvist S., “Energy causing cracks at corners
of Vickers indentations as measure of toughness of hard metals.”, Arch .Eisenhuettenwes Vol .33, pp .629- 634, 1962.
[12] Moradkhani A.R., Baharvandi H.R., Tajdari M, “Investigation of mechanical properties and microstructure of B4C-C composites fabricated by hotpress”, The Modares Journal of Mechanics Engineering (in Persian), Vol. 12, No. 6, pp. 10- 18, 2013.
[13] Ansatis G.R., Chantikul P., Lawn B.R., Marshall D.B., “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.
532- 538, 1981.
[14] Evanse A.G., Wilshaw T.R., “Quasi-static solid particle damage in brittle solid - I .Observation analysis ad implication”, Acta Metallurgica,Vol.
24, pp. 939- 956, 1976.
[15] Evans A.G., Charles E.A., “Fracture toughness determinations by indentation”, Journal of the American Ceramic Society, Vol. 59, pp. 371-
372, 1976.
[16] Evans A.G., “Fracture toughness :the role of indentation technique (In fracture mechanics applied to brittle materials( Freiman W, ed.”, ASTM STP 678, West Conshohocken, PA, pp. 112- 135, 1985.
[17] Min L., Wei-min C., Nai-gang L., Ling-dong W., “A numerical study of indentation using indenters of different geometry”, Journal of MaterialsResearch, Vol .19, pp. 73- 78, 2004.
[18] Sakharova N.A., Fernandes J.V., Antunes J.M., Oliveira M.C., “Comparison between Berkovich, Vickers and conical indentation tests :A three-dimensional numerical simulation study”, International Journal of the Solids and Structures, Vol. 46, pp. 1095- 1104, 2009.
[19] Tajdari M., Baharvandi H.R., Moradkhani A.R, “Modification the Accuracy of Fracture Toughness Equation Coefficients Resulting from Irregular Surface Cracks Generated by Vickers Test of B4C-C Composites”, The Modares Journal of Mechanics Engineering (in Persian), Vol. 13, No. 2, pp.12- 21., 2013.
[20] Niihara K.A., “A fracture mechanics analysis of indentation induced Palmqvist crack in ceramic”, Journal of Materials Science, Vol. 2, pp. 221- 223, 1983.
[21] Lawn H.R., Fuller E.R.; “Equilibrium penny-like
cracks indentation fracture” Journal of the Materials Science, Vol. 10, pp. 2016- 2024, 1975.
[22] Lauger M.T., “New formula for indentation toughness in ceramics.”, Journal of Materials Science, Vol. 6, pp. 355- 356, 1987.
[23] Lawn B.R., Evans A.G., Marshall D.B., “Elastic/plastic indentation damage in ceramics:
the median/radial crack system”, Journal of American Ceramic Society, Vol. 63, pp. 574-
581, 1980.
[24] Nihhara K., Morena R. Hasselman P.H., “Evaluation of KIC of brittle solids by the indentation method with low crack-to-indent ration”, Journal of Materials Science, Vol. 1, pp.
13- 16, 1982.
[25] Shetty D.K., Wright I.G., Mincer P.N., Cluar A.H, “Indentation fracture of WC-Co ceremets”, Journal of Materials Science, Vol. 20, pp. 1873-
1882, 1985.
[26] Japanease Standard Association, “Testing method for fracture toughness of high performance ceramics”, JIS R- 1607, 1990.
[27] Moradkhani A.R, Baharvandi H.R., Tajdari M., Latifi H.R., Martikainen J., “Determination of fracture toughness using the areas of micro crack tracks left in brittle materials by Vickers indentation test”, Journal of Advanced Ceramic, Vol. 2, No. 1, pp. 87- 102, 2013.
[28] Moradkhani A. R., Baharvandi H. R., Vafaeesefat A., Tajdari M., “Microstructure and Mechanical Properties of Al2O3-SiC Nanocomposites with 0.05% MgO and Different SiC Volume Fraction”, International journal of advanced design and manufacturing technology, Vol. 5, No. 3, pp. 99- 105, 2012.
[29] Mashhadi M., Taheri Nassaj A.W., Mashhadi M., Vincenzo M., Sglavo G., “Pressureless sintering of B4C–TiB2 composites with Al additions”, Ceramic international, CERI- 4335; No. of Pages 7, 2011.
[30] ASTM B311, “Test Method for Density Determination for Powder Metallurgy (P/M) Materials Containing Less Than Two Percent Porosity”, Developed by Subcommittee: B09.11, Book of Standards, Vol. 2, No. 5, 2002.
[31] ASTM C769, “Standard Test Method for Sonic Velocity in Refractory Materials at Room Temperature and Its Use in Obtaining an Approximate Young’s Modulus.In”, Annual Book of ASTM Standards, Vol. 15, No. 1, 2005.
[32] ASTM C1327, “Standard Test Method for Vickers Indentation Hardness of Advanced Ceramics”, Developed by Subcommittee: C28.01, Book of Standards, Vol. 15, No. 1, pp. 8, 2008.
[33] Zavitsanos P.D., Morris J. R., “Synthesis of titanium diboride by a self-propagation”, Ceramic Engineering science production., Vol. 4, pp. 624- 633, 1983.
[34] John B., Wachtman Jr., Torizuka S., Hishio H, “High strength TiB2”, Ceramic Engineering science production Vol. 11., pp. 1454- 1460., 2008.
[35] Griffith A.A., “Philosophical Transactions”, Series A, Vol. 221, pp. 163– 198, 1920.