The influence of the indenter tip-radius on indentation testing of brittle materials

Journal of the European Ceramic Society

Volumn 19, Issue 2, 1999, Pages 239-245

  Ciavarella, M ^a   Hills, D A ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Fracture; Indentation testing; Mechanical properties; Surfaces; Toughness

Indexed keywords

CRACKS; FRACTURE MECHANICS; FRACTURE TESTING; FRACTURE TOUGHNESS;

INDENTATION TESTING; INDENTERS;

BRITTLENESS;

EID: 0033079444     PISSN: 09552219     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-2219(98)00188-5     Document Type: Article

References (24)

1. Hills D.A., Dai D.N., Warren P.D. The median crack driven by a point force. Journal of the European Ceramic Society. 16:(11):1996;1209-1212.
2. Giannakopolous A.E., Larsson P.L., Vestergaard R. Analysis of Vickers indentation. Int. J. Solids Struct. 13:(19):1994;2679-2708.
3. Larsson P.L., Giannakopoulos A.E., Söderlund E., Rowecliffe D.J., Vestergaard R. Analysis of Berkovitch indentation. Int. J. Solids Struct. 32:1996;221-248.
4. Truman C.E., Sackfield A., Hills D.A. Contact mechanics of wedge and cone indenters. Int. J. Mech. Sci. 37:(3):1995;261-275.
5. Dai D.N., Hills D.A., Nowell D. Formulation and implementation of the Eigenstrain method employing higher-order elements. Int. J. Solids Struct. 33:(3):1996;331-342.
6. Hills, D. A., Kelly, P. A., Dai, D. N. and Korsunsky, A. M. Solution of Crack Problems: The Distributed Dislocations Technique. Kluwer, Dordrecht, The Netherlands, 1996.
7. Warren P.D., Hills D.A. The influence of elastic mismatch between indenter and substrate on Hertzian fracture. J. of Mat. Sci. 29:(11):1994;2860-2866.
8. Warren P.D., Hills D.A., Dai D.N. Mechanics of Hertzian cracking. Tribology international. 28:(6):1995;357-362.
9. Dai D.N., Hills D.A., Warren P.D., Nowell D. The propulsion of surface flaws by elastic indentation testing. Acta Metallurgica et Materalia. 43:(3):1995;985-991.
10. Ciavarella, M., Indentation by nominally flat or conical indenters with rounded corners. Int. J. Solids Struct., in press.
11. Hübber, 1904.
12. Hills, D. A., Nowell, D. and Sackfield, A., Mechanics of Elastic Contacts. Buttermann-Heinemann, Oxford, 1993.
13. Way S. Some observation on the theory of contact pressures. J. Appl. Mech. Trans. ASME. 62:1940;147-157.
14. Sneddon, I. N. Fourier Transforms. McGraw-Hill, New York, 1951.
15. Timoshenko, S. P. and Goodier, J. N. Theory of Elasticity, 3rd edn. McGraw-Hill, New York, 1970.
16. Shtaerman, I. Ya., Contact Problem of the Theory of Elasticity, Gostekhteoretizdat, Moscow, Leningrad, (Available from the British Library in a English translation by Foreign Technology Div., FTD-MT-24-61-70, 1970.
17. Gladwell, G. M. L., Contact Problems in the Classical Theory of Elasticity. Sitjhoff & Nordhoff, Alphen aan Olen Rijn.
18. Roesler F.C. Brittle fracture near equilibrium. Proc. Phys. Soc. 69:1957;981-992.
19. Gradshteyn, I. S. and Ryzhik, I. M., Table of Integrals, Series and Products. Academic Press, London, 1980.
20. Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, 4th ed. Cambridge University Press, Cambridge, 1927.
21. Sachfield and Hills, PA, 1988.
22. Johnson, K. L., Contact Mechanics. Cambridge University Press, Cambridge, 1985.
23. Dundurs, J., Properties of elastic bodies in contact. In The Mechanics of the Contact between Deformable Bodies, ed. A. D. de Pater and J. J. Kalker. Delft University Press, 1975, pp. 54-66.
24. Sneddon I.N. The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Engng. Sci. 3:1963;47-57.