Determination of Strength and Fracture Toughness from Indentation Tests
51
stress field the incremental energy release rate has been determined in an approximate
manner. This approach could be verified by means of the finite element method.
The derived model is able to explain and predict the size effects in the failure load.
Also it allows the simultaneous determination of strength and fracture toughness. There
is, however, some deviation to available literature values. This should be investigated in
further studies.
References
1. Evans, A.G., Charles, E.A.: Fracture toughness determinations by indentation. J. Am. Ceramic
Soc. 59(7–8), 371–372 (1976)
2. Lawn, B.R., Evans, A.G., Marshall, D.B.: Elastic/plastic indentation damage in ceramics: the
median/radial crack system. J. Am. Ceramic Soc. 63(9–10), 574–581 (1980)
3. Quinn, G.D., Bradt, R.C.: On the vickers indentation fracture toughness test. J. Am. Ceramic
Soc. 90(3), 673–680 (2007)
4. Strobl, M., Dowgiałło, P., Seelig, T.: Analysis of Hertzian indentation fracture in the framework of finite fracture mechanics. Int. J. Fracture 206(1), 67–79 (2017). https://doi.org/10.
1007/s10704-017-0201-7
5. Langitan, F.B., Lawn, B.R.: Hertzian fracture experiments on abraded glass surfaces as definitive evidence for an energy balance explanation of auerbach’s law. J. Appl. Phys. 40(10),
4009–4017 (1969)
6. Warren, P.D.: Determining the fracture toughness of brittle materials by Hertzian indentation.
J. Euro. Ceramic Soc. 15(3), 201–207 (1995)
7. Mouginot, R., Maugis, D.: Fracture indentation beneath flat and spherical punches. J. Materials
Sci. 20(12), 4354–4376 (1985)
8. Hashin, Z.: Finite thermoelastic fracture criterion with application to laminate cracking
analysis. J. Mech. Phys. Solids 44(7), 1120–1145 (1996)
9. Leguillon, D.: Strength or toughness? a criterion for crack onset at a notch. Euro. J. Mech. A
Solids 21(1), 61–72 (2002)
10. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)
11. Fischer-Cripps, A.C.: Introduction to Contact Mechanics. Springer, US (2007)
12. Tada, H., Paris, P.C., Irwin, G.R.: Stress Analysis of Cracks Handbook. ASME Press (2000)
13. Deriano, S., Jarry, A., Rouxel, T., Sangleboeuf, J.-C., Hampshire, S.: The indentation fracture
toughness (Kc) and its parameters: the case of silica-rich glasses. J. Non-Cryst. Solids 344(1–
2), 44–50 (2004)
14. Boccaccini, A.R., Rawlings, R.D., Dlouhy, I.: Reliability of the chevron-notch technique for
fracture toughness determination in glass. Mater. Sci. Eng. A347(1–2), 102–108 (2003)
15. Petzold, A., Marusch, H., Schramm, B.: Der Baustoff Glas. Verlag Bauwesen, Berlin (1995)
16. Leguillon, D., Martin, E., Sevecek, O., Bermejo, R.: What is the tensile strength of a ceramic
to be used in numerical models for predicting crack initiation? Int. J. Frac. 212(1), 89–103
(2018)
51
stress field the incremental energy release rate has been determined in an approximate
manner. This approach could be verified by means of the finite element method.
The derived model is able to explain and predict the size effects in the failure load.
Also it allows the simultaneous determination of strength and fracture toughness. There
is, however, some deviation to available literature values. This should be investigated in
further studies.
References
1. Evans, A.G., Charles, E.A.: Fracture toughness determinations by indentation. J. Am. Ceramic
Soc. 59(7–8), 371–372 (1976)
2. Lawn, B.R., Evans, A.G., Marshall, D.B.: Elastic/plastic indentation damage in ceramics: the
median/radial crack system. J. Am. Ceramic Soc. 63(9–10), 574–581 (1980)
3. Quinn, G.D., Bradt, R.C.: On the vickers indentation fracture toughness test. J. Am. Ceramic
Soc. 90(3), 673–680 (2007)
4. Strobl, M., Dowgiałło, P., Seelig, T.: Analysis of Hertzian indentation fracture in the framework of finite fracture mechanics. Int. J. Fracture 206(1), 67–79 (2017). https://doi.org/10.
1007/s10704-017-0201-7
5. Langitan, F.B., Lawn, B.R.: Hertzian fracture experiments on abraded glass surfaces as definitive evidence for an energy balance explanation of auerbach’s law. J. Appl. Phys. 40(10),
4009–4017 (1969)
6. Warren, P.D.: Determining the fracture toughness of brittle materials by Hertzian indentation.
J. Euro. Ceramic Soc. 15(3), 201–207 (1995)
7. Mouginot, R., Maugis, D.: Fracture indentation beneath flat and spherical punches. J. Materials
Sci. 20(12), 4354–4376 (1985)
8. Hashin, Z.: Finite thermoelastic fracture criterion with application to laminate cracking
analysis. J. Mech. Phys. Solids 44(7), 1120–1145 (1996)
9. Leguillon, D.: Strength or toughness? a criterion for crack onset at a notch. Euro. J. Mech. A
Solids 21(1), 61–72 (2002)
10. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)
11. Fischer-Cripps, A.C.: Introduction to Contact Mechanics. Springer, US (2007)
12. Tada, H., Paris, P.C., Irwin, G.R.: Stress Analysis of Cracks Handbook. ASME Press (2000)
13. Deriano, S., Jarry, A., Rouxel, T., Sangleboeuf, J.-C., Hampshire, S.: The indentation fracture
toughness (Kc) and its parameters: the case of silica-rich glasses. J. Non-Cryst. Solids 344(1–
2), 44–50 (2004)
14. Boccaccini, A.R., Rawlings, R.D., Dlouhy, I.: Reliability of the chevron-notch technique for
fracture toughness determination in glass. Mater. Sci. Eng. A347(1–2), 102–108 (2003)
15. Petzold, A., Marusch, H., Schramm, B.: Der Baustoff Glas. Verlag Bauwesen, Berlin (1995)
16. Leguillon, D., Martin, E., Sevecek, O., Bermejo, R.: What is the tensile strength of a ceramic
to be used in numerical models for predicting crack initiation? Int. J. Frac. 212(1), 89–103
(2018)