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References
H. Hertz, “On the contact of elastic solids,” J. Reine Angew. Math. 92, 1881, pp. 156-171. Translated and reprinted in English in Hertz’s Miscellaneous Papers, Mac-millan & Co., London, 1896, Ch. 5.
H. Hertz, “On hardness,” Verh. Ver. Beförderung Gewerbe Fleisses 61, 1882, p. 410. Translated and reprinted in English in Hertz’s Miscellaneous Papers, Macmillan & Co, London, 1896, Ch. 6.
A. Wahlberg, “Brinell‘s method of determining hardness,” J. Iron Steel Inst. London, 59, 1901, pp. 243-298.
R.L. Smith and G.E. Sandland, “An accurate method of determining the hardness of metals with particular reference to those of high degree of hardness,” Proc. Inst. Mech. Eng. 1, 1922, pp. 623-641.
F. Knoop, C.G. Peters, and W.B. Emerson, “A sensitive pyramidal-diamond tool for indentation measurements,” Research Paper RP1220, National Bureau of Standards, U.S. Dept. Commerce, 1939, pp. 211-240.
D.B. Marshall, T. Noma, and A.G. Evans, “A Simple method for determining elastic-modulus-to-hardness ratios using Knoop indentation measurements”, J. Amer. Ceram. Soc. 65 1980 pp. C175-C176
. F. Auerbach, “Absolute hardness,” Ann. Phys. Chem. (Leipzig) 43, 1891, pp. 61-100. Translated by C. Barus, Annual Report of the Board of Regents of the Smithsonian Institution, July 1, 1890 - June 30 1891, reproduced in “Miscellaneous documents of the House of Representatives for the First Session of the Fifty-Second Congress,” Government Printing Office, Washington, D.C., 43, 1891-1892, pp. 207-236.
E. Meyer, “Untersuchungen uber Harteprufung und Harte,” Phys. Z. 9, 1908, pp. 66-74.
S.L. Hoyt, “The ball indentation hardness test,” Trans. Am. Soc. Steel Treat. 6, 1924, pp. 396-420.
A. Foppl, “Mitteilungen aus dem Mechan,” Technische Lab. der Technische Hochschule, Munchen, 1900.
C.A. Coulomb, Mem. Acad. Sci. Savants Etrangers, Paris 7, 1776, pp. 343-382.
M.S. Paterson, Experimental Rock Deformation - the Brittle Field, Springer Verlag, Heidelberg, 1978.
H. Horii and S. Nemat-Nasser, “Brittle failure in compression: splitting, faulting and brittle-ductile transition,” Philos. Trans. R. Soc. London 319 1549, 1986, pp. 337-374.
C.G. Sammis and M.F. Ashby, “The failure of brittle porous solids under compres-sive stress states,” Acta Metall. 34 3, 1986, pp. 511-526.
D. Tabor, The Hardness of Metals, Clarendon Press, Oxford, 1951.
M.C. Shaw, “The fundamental basis of the hardness test,” in The Science of Hardness Testing and its Research Applications, J.H. Westbrook and H. Conrad, Eds. American Society for Metals, Cleveland, OH, 1973, pp. 1-15.
M.V. Swain and J.T. Hagan, “Indentation plasticity and the ensuing fracture of glass,” J. Phys. D: Appl. Phys. 9, 1976, pp. 2201-2214.
K.L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, U.K., 1985.
M.T. Huber, Ann. Phys. Chem. 43 61, 1904.
R. Hill, E.H. Lee and S.J. Tupper, “Theory of wedge-indentation of ductile metals,” Proc. R. Soc. London, Ser. A188, 1947, pp. 273-289.
R. Hill, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, 1950.
D.M. Marsh, “Plastic flow in glass,” Proc. R. Soc. London, Ser. A279, 1964, pp. 420-435.
L.E. Samuels and T.O. Mulhearn, “An experimental investigation of the deformed zone associated with indentation hardness impressions,” J. Mech. Phys. Solids, 5, 1957, pp. 125-134.
T.O. Mulhearn, “The deformation of metals by Vickers-type pyramidal indenters,” J. Mech. Phys. Solids, 7, 1959, pp. 85-96.
K.L. Johnson, “The correlation of indentation experiments,” J. Mech. Phys. Sol. 18, 1970, pp. 115-126.
M.C. Shaw and D.J. DeSalvo, “A new approach to plasticity and its application to blunt two dimension indenters,” J. Eng. Ind. Trans. ASME, 92, 1970, pp. 469-479.
M.C. Shaw and D.J. DeSalvo, “On the plastic flow beneath a blunt axisymmetric indenter,” J. Eng. Ind., Trans. ASME 92, 1970, pp. 480-494.
C. Hardy, C.N. Baronet, and G.V. Tordion, “The Elastic-plastic indentation of a half-space by a rigid sphere,” Int. J. Numer. Methods Eng. 3, 1971, pp. 451-462.
C.M. Perrott, “Elastic-plastic indentation: Hardness and fracture,” Wear 45, 1977, pp. 293-309.
S.S. Chiang, D.B. Marshall, and A.G. Evans, “The response of solids to elastic/plastic indentation. 1. Stresses and residual stresses,” J. Appl. Phys. 53 1, 1982, pp. 298-311.
S.S. Chiang, D.B. Marshall, and A.G. Evans, “The response of solids to elastic/plastic indentation. 2. Fracture initiation,” J. Appl. Phys. 53 1, 1982, pp. 312-317.
K.L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, U.K., 1985.
A.C. Fischer-Cripps, “Elastic-plastic response of materials loaded with a spherical indenter,” J. Mater. Sci., 32 3, 1997, pp. 727-736.
W. Hirst and M.G.J.W. Howse, “The indentation of materials by wedges,” Proc. R. Soc. London, Ser. A311, 1969, pp. 429-444.
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(2007). Hardness. In: Introduction to Contact Mechanics. Mechanical Engineering Series. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-68188-7_9
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