Abstract
An advanced method of identification and quantitative estimation of geometric shape of the projection of abrasive powder grains has been proposed. The method is based on a system–analogue approach. For analogues the two-dimensional geometric figures (circles, ellipses, triangles, canonical forms of tetragons, regular pentagons, hexagons, and octagons) that admit a nonadditive analytical representation of the area in terms of generating parameters (whose number does not exceed three) have been taken. A differential and integral characteristics of the shape similarity have been introduced and an analytical apparatus has been put forward to determine the values of these characteristics. The results of appraisal (testing) of the method on synthetic diamond and cBN grits are discussed.
Similar content being viewed by others
References
Sheiko, M.N., Skok, V.N., and Lubnin, A.G., Main characteristics of abrasive diamond layer in dressing tools, J. Superhard Mater., 2007, no. 4, pp. 256–258.
DSTU (Ukrainian State Standard) 3292-95. Synthetic Diamond Powders. General Specification, 1996.
GOST (State Standard) 9206–80. Diamond Powders. Specifications, 1981.
GOST (State Standard) R 52370–2005. Natural Diamond Powders. Specifications, 2005.
Pirard, E., The cutting edge of superabrasives quality control, Ind. Diamond Rev., 2003, no. 3, pp. 49–50.
De Pellegrin, D.V., Corbin, N.D., Baldoni, G., and Torrance, A.A., The measurement and description of diamond particle shape in abrasion, 2nd Int. Ind. Diamond Conf., Rome, Italy, 19–20th April, 2007, CDR D.5.3. Pdf 210.
Bogdanovich, M.G., Ginsburg, O.V., Voloshin, M.N., and Kishchinskaya, Z.A., The dependence of abrasive ability of diamond powders on the grain strength, Sintet. Almazy, 1972, issue 2, pp. 12–14.
List, E., Frenzel, J., and Vollstadt, H., A new system for single particle strength testing of grinding powders, Ind. Diamond Rev., 2006, no. 1, pp. 42–47.
Petasyuk, G.A., Diagnostics of morphometric characteristics of superabrasive powders by means of digital image processing, Vidbir i Obrobka Informatsii, 2009, issue 30 (106), pp. 138–145.
Petasyuk, G.A., System and criterial method of the identification and quantitative estimation of the geometrical shape of the abrasive powder grains projection, Powder Technol., 2014, vol. 264, pp. 78–85.
Bogatyreva, G.P., Petasyuk, G.A., Bazalii, G.A., and Shamraeva, V.S., On morphometric uniformity of diamond micron powders, J. Superhard Mater., 2009, no. 2, pp. 126–134.
Safonova, M.N., Petasyuk, G.A., and Syromyatnikova, A.S., Kompyuterno-analiticheskie metody diagnostiki ekspluatatsionnykh kharakteristik almaznykh poroshkov i kompozitsionnykh materialov na ikh osnove (Computer-Analytical Methods of Diagnostics of Performance Characteristics of Diamond Powders and Related Composites), Novosibirsk: Izd. SO RAN, 2013.
Fraser, P.J. (Ed.), Microcomputers in Physiology: A Practical Approach, Oxford University Press, 1988.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Ukrainian Text © G.A. Petasyuk, 2016, published in Sverkhtverdye Materialy, 2016, Vol. 38, No. 4, pp. 74–89.
About this article
Cite this article
Petasyuk, G.A. A system–analogue method of identification of geometric shape of the abrasive grain projection. J. Superhard Mater. 38, 277–287 (2016). https://doi.org/10.3103/S1063457616040092
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1063457616040092