Determination of surface residual stresses in brittle materials by Hertzian indentation: theory and experiment

Journal of the American Ceramic Society

Volumn 82, Issue 7, 1999, Pages 1809-1816

  Roberts, Steve G ^a   Lawrence, Charles W ^a   Bisrat, Yordanos ^a   Warren, Paul D ^b,c   Hills, David A ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF LEEDS   (United Kingdom)

^c Pilkington Group Limited   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINA; BRITTLENESS; CRACK PROPAGATION; ELASTIC MODULI; FRACTURE MECHANICS; FRACTURE TOUGHNESS; FRICTION; RESIDUAL STRESSES; SURFACE PHENOMENA;

ELASTIC MISMATCH; HERTZIAN INDENTATION; SURFACE BREAKING CRACK; THRESHOLD LOAD;

MECHANICAL VARIABLES MEASUREMENT;

EID: 0032688404     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1999.tb02003.x     Document Type: Article

References (26)

1. H. Hertz, "On the Contact of Elastic Solids," Z. Reine Angew. Math., 92, 156-71 (1881). English translation in "Miscellaneous Papers" (translated by D. E. Jones and G. A. Schott); pp. 146-62. Macmillan, London, U.K., 1896.
2. H. Hertz, "On the Contact of Elastic Solids," Z. Reine Angew. Math., 92, 156-71 (1881). English translation in "Miscellaneous Papers" (translated by D. E. Jones and G. A. Schott); pp. 146-62. Macmillan, London, U.K., 1896.
3. M. T. Huber, "On the Theory of Contacting Solid Elastic Bodies," Ann. Phys., 14, 153-63 (1904).
4. F. C. Frank and B. R. Lawn, "On the Theory of Hertzian Fracture," Proc. R. Soc. London, A229, 291-306 (1967).
5. T. R. Wilshaw, "The Hertzian Fracture Test," J. Phys D, 4, 1567-81 (1971).
6. R. Warren, "Measurement of the Fracture Properties of Brittle Solids by Hertzian Indentation," Acta Metall., 26, 1759-69 (1978).
7. R. Mouginot and D. Maugis, "Fracture Indentation Beneath Flat and Spherical Punches," J. Mater. Sci., 20, 4354-76 (1985).
8. K. Zeng, K. Breder, and D. J. Rowcliffe, "The Hertzian Stress Field and Formation of Cone Cracks - I. Theoretical Approach," Acta Metall. Mater., 40, 2595-600 (1992).
9. K. Zeng, K. Breder, and D. J. Rowcliffe, "The Hertzian Stress Field and Formation of Cone Cracks - II. Determination of Fracture Toughness," Acta Metall. Mater., 40, 2601-605 (1992).
10. P. D. Warren, D. A. Hills, and S. G. Roberts, "Surface Flaw Distributions in Brittle Materials and Hertzian Fracture," J. Mater. Res., 9, 3194-202 (1994).
11. D. Nowell and D. A. Hills, "Open Cracks at or near Free Surfaces," J. Strain Anal., 22, 177-84 (1987).
12. P. D. Warren, "Determining the Fracture Toughness of Brittle Materials by Hertzian Indentation," J. Eur. Ceram. Soc., 15, 201-207 (1995).
13. A. S. Argon, "Distribution of Cracks on Glass Surfaces," Proc. R. Soc. London, A250, 472-81 (1959).
14. A. S. Argon, "Surface Cracks on Glass," Proc. R. Soc. London, A250, 482-92 (1959).
15. H. L. Oh and I. J. Finnie, "Ring Cracking of Glass by Spherical Indenters," J. Mech. Phys. Solids, 15, 401-11 (1967).
16. B. R. Lawn, "Hertzian Fracture in Single Crystals with the Diamond Structure," J. Appl. Phys., 39, 4828-36 (1968).
17. K. L. Johnson, J. J. O'Connor, and A. C. Woodward, "The Effect of the Indenter Elasticity on the Hertzian Fracture of Brittle Materials," Proc. R. Soc. London, A334, 95-117 (1973).
18. P. D. Warren and D. A. Hills, "The Influence of Elastic Mismatch between Indenter and Substrate on Hertzian Fracture," J. Mater. Sci., 29, 2860-66 (1994).
19. H. Scholze, "Glass: Nature, Structure and Properties; pp. 276-77. Springer-Verlag, New York, 1991.
20. J. W. Dally and W. F. Riley, Experimental Stress Analysis. McGraw-Hill, New York, 1991.
21. D. B. Marshall and B. R. Lawn, "An Indentation Technique for Measuring Stresses in Tempered Glass Surfaces," J. Am. Ceram. Soc., 60, 86-87 (1977).
22. J. M. Bradshaw and B. Taylor, "Ion-Exchange Strengthening of Sheet Glass"; pp. 471-75 in The Physics of Non-Crystalline Materials. Edited by L. D. Pye, W. C. La Course, and H. J. Stevens. Taylor and Francis, London, U.K., 1992.
23. 3," Silikatechnik, 38, 28-30 (1987).
24. T. Kishii, "Surface Stress Meters Utilising the Optical Waveguide Effect of Chemically Tempered Glass," Opt. Lasers Eng., 4, 25-40 (1983).
25. P. D. Warren, "Fracture of Brittle Materials: Effects of Test Method and Threshold Loads on the Weibull Modulus," J. Eur. Ceram. Soc., submitted.
26. 3/SiC Nanocomposites after Grinding and Annealing," Acta Mater., 46, 3839-18 (1998).