The types of crack that may occur upon indenting highly brittle materials are first reviewed. This leads to a speculation on the source of driving stresses for these various types of crack, and then recent results for the stress intensity factors are presented. Some experimental work, permitting the fracture toughness of glass to be found, is described, which is compared with data obtained from four-point bend specimens.
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References
1.
LeeC. H.MasakiS.KobayashiS.Analysis of ball indentation. Int. J. Mech. Sci., 1972, 14, 417–426.
2.
HardyC.BaronetC. N.TordionG. V.The elasto-plastic indentation of a half-space by a rigid sphere. Int. J. Num. Meth. Engng, 1971, 3, 451–462.
3.
FollansbeeP. S.SinclairG. B.Quasi-static normal indentation of an elasto-plastic half-space by a rigid sphere—I. Int. J. Solids Structs, 1984, 20, 81–91.
4.
SinclairG. B.FollansbeeP. S.JohnsonK. L.Quasi-static normal indentation of an elasto-plastic half-space by a rigid sphere—II. Results. Int. J. Solids Structs, 1985, 21, 865–888.
5.
OstojicP.McPhersonR.A review of indentation theory: its development, principles and limitations. Int. J. Fracture, 1987, 33, 297–312.
6.
JohnsonK. L.A correlation of indentation experiments. J. Mech. Phys. Solids, 1970, 18, 115–126.
7.
OhH. L.FinnieI.The ring cracking of glass by spherical indenters. J. Mech. Phys. Solids, 1967, 15, 401–411.
8.
RoeslerF. C.Brittle fractures near equilibrium. Proc. Phys. Soc., 1957, 69, 981–992.
9.
FrankF. C.LawnB. R.On the theory of Hertzian fractures. Proc. R. Soc., 1967, Sec A, 229, 291–306.
10.
HuberM. T.Zur theorie der beruhrung fester elasticher korper. Annin der Physik, 1904, 14, 153–163.
11.
GoodmanL. E.Contact stress analysis of normally loaded rough spheres. J. Appl. Mech., 1962, 84, 515–522.
12.
JohnsonK. L.O'ConnorJ. J.WoodwardA. C.The effect of the indenter elasticity on the Hertzian fracture of brittle materials. Proc. R. Soc. Lond., 1973, Sec. A, 334, 95–117.
13.
SpenceD. A.The Hertz problem with finite friction. J. Elasticity, 1975, 5, 297–319.
14.
HillsD. A.SackfieldA.The stress field induced by normal contact between dissimilar spheres. J. Appl. Mech., 1987, 54, 8–14.
15.
LoveA. E. H.A treatise on the mathematical theory of elasticity, 1927, p. 198 (Cambridge University Press).
16.
LawnB. R.SwainM. V.Microfracture beneath point indentations in brittle solids. J. Math. Sci., 1975, 10, 113–122.
17.
LawnB. R.EvansA. G.MarshallD. B.Elastic/plastic indentation damage in ceramics: the median/radial crack system. J. Am. Ceram. Soc., 1980, 63, 574–581.
18.
TimoshenkoS. P.GoodierJ. N.Theory of elasticity, 3rd edition, 1954, pp. 398–402 (McGraw-Hill).
19.
LiY.HillsD. A.Hertzian cone crack. Proceedings of Symposium on Analytical, numerical and experimental aspects of the three-dimensional fracture process. Applied Mechanical Engineering Science Conference, University of California, Berkeley, 1988, paper ASME AMD 91.
20.
BryantM. D.MillerG. R.KeerL. M.Line contact between a rigid indenter and a damaged elastic body. Q. J. Appl. Math., 1984, 37(3), 467–478.
21.
LiY.HillsD. A.Three dimensional fracture analysis for sharp indenter cracks. J. Mech. Phys. Solids (in press).
22.
MunzD.BubseyR. T.ShannonJ. L.Fracture toughness determination of Al2O3 using four-point-bend specimens with straight-through and chevron notches. J. Am. Ceram. Soc., 1980, 63(5–6), 300–305.
23.
MunzD. E.ShannonJ. L.Fracture toughness calculation from maximum load in four point bend tests of chevron notched specimen. Int. J. Fracture, 1980, 16, R137–141.
24.
PeterssonM. K. H.BergmanW.Comparison of fracture toughness testing methods applied to alumina-zirconia materials. In British ceramic proceedings (FreerR.NewsamS.SyersG.), December 1987, 39 (Institute of Ceramics).