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Competing Fracture Modes in Brittle Materials Subject to Concentrated Cyclic Loading in Liquid Environments: Monoliths

Published online by Cambridge University Press:  01 August 2005

Yu Zhang
Affiliation:
New York University College of Dentistry, New York, New York 10010
Sanjit Bhowmick
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8500
Brian R. Lawn*
Affiliation:
Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8500
*
a) Address all correspondence to this author.e-mail: [email protected]
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Abstract

The competition between fracture modes in monolithic brittle materials loaded in cyclic contact in aqueous environments with curved indenters is examined. Three main modes are identified: conventional outer cone cracks, which form outside the maximum contact; inner cone cracks, which form within the contact; and median–radial cracking, which form below the contact. Relations describing short-crack initiation and long-crack propagation stages as a function of number of cycles, based on slow crack growth within the Hertzian field, are presented. Superposed mechanical driving forces—hydraulic pumping in the case of inner cone cracks and quasiplasticity in the case of median–radials—are recognized as critically important modifying elements in the initial and intermediate crack growth. Ultimately, at large numbers of cycles, the cracks enter the far field and tend asymptotically to a simple, common relation for center-loaded pennylike configurations driven by slow crack growth. Crack growth data illustrating each mode are obtained for thick soda-lime glass plates indented with tungsten carbide spheres in cyclic loading in water, for a range of maximum contact loads and sphere radii. Generally in the glass, outer cone cracks form first but are subsequently outgrown in depth as cycling proceeds by inner cones and, especially, radial cracks. The latter two crack types are considered especially dangerous in biomechanical applications (dental crowns, hip replacements) where ceramic layers of finite thickness are used as load-bearing components. The roles of test variables (contact load, sphere radius) and material properties (hardness, modulus, toughness) in determining the relative importance of each fracture mode are discussed.

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Articles
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1Lawn, B.R. and Wilshaw, T.R.: Indentation fracture: Principles and applications. J. Mater. Sci. 10, 1049 (1975).CrossRefGoogle Scholar
2Lawn, B.R.: Indentation of ceramics with spheres: A century after Hertz. J. Am. Ceram. Soc. 81, 1977 (1998).CrossRefGoogle Scholar
3Kelly, J.R.: Clinically relevant approach to failure testing of all-ceramic restorations. J. Prosthet. Dent. 81, 652 (1999).CrossRefGoogle ScholarPubMed
4Willmann, G.: Ceramic femoral heads for total hip arthroplasty. Adv. Eng. Mater. 2, 114 (2000).3.0.CO;2-P>CrossRefGoogle Scholar
5Willmann, G.: Improving bearing surfaces of artificial joints. Adv. Eng. Mater. 3, 135 (2001).3.0.CO;2-B>CrossRefGoogle Scholar
6Lawn, B.R.: Ceramic-based layer structures for biomechanical applications. Curr. Opin. Solid State Mater. Sci. 6, 229 (2002).CrossRefGoogle Scholar
7Lawn, B.R., Pajares, A., Zhang, Y., Deng, Y., Polack, M., Lloyd, I.K., Rekow, E.D. and Thompson, V.P.: Materials design in the performance of all-ceramic crowns. Biomaterials 25, 2885 (2004).CrossRefGoogle ScholarPubMed
8Rhee, Y-W., Kim, H-W., Deng, Y. and Lawn, B.R.: Brittle fracture versus quasiplasticity in ceramics: A simple predictive index. J. Am. Ceram. Soc. 84, 561 (2001).CrossRefGoogle Scholar
9Kim, D.K., Jung, Y-G., Peterson, I.M. and Lawn, B.R.: Cyclic fatigue of intrinsically brittle ceramics in contact with spheres. Acta Mater. 47, 4711 (1999).CrossRefGoogle Scholar
10Zhang, Y., Kwang, J-K. and Lawn, B.R.: Deep penetrating conical cracks in brittle layers from hydraulic cyclic contact. J. Biomed. Mater. Res. 73B, 186 (2005).CrossRefGoogle Scholar
11Bower, A.F.: The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks. J. Tribol 110, 704 (1988).CrossRefGoogle Scholar
12Wiederhorn, S.M. and Bolz, L.H.: Stress corrosion and static fatigue of glass. J. Am. Ceram. Soc. 53, 543 (1970).CrossRefGoogle Scholar
13Wiederhorn, S.M.: A chemical interpretation of static fatigue. J. Am. Ceram. Soc. 55, 81 (1972).CrossRefGoogle Scholar
14Frank, F.C. and Lawn, B.R.: On the theory of Hertzian fracture. Proc. R. Soc. London A299, 291 (1967).Google Scholar
15Lawn, B.R., Evans, A.G. and Marshall, D.B.: Elastic/plastic indentation damage in ceramics: The median/radial crack system. J. Am. Ceram. Soc. 63, 574 (1980).CrossRefGoogle Scholar
16Lawn, B.R., Padture, N.P., Cai, H. and Guiberteau, F.: Making ceramics ‘ductile’. Science 263, 1114 (1994).CrossRefGoogle ScholarPubMed
17Lawn, B.R., Lee, S.K., Peterson, I.M. and Wuttiphan, S.: Model of strength degradation from Hertzian contact damage in tough ceramics. J. Am. Ceram. Soc. 81, 1509 (1998).CrossRefGoogle Scholar
18Padture, N.P. and Lawn, B.R.: Contact fatigue of a silicon carbide with a heterogeneous grain structure. J. Am. Ceram. Soc. 78, 1431 (1995).CrossRefGoogle Scholar
19Lee, K.S., Jung, Y-G., Peterson, I.M., Lawn, B.R., Kim, D.K. and Lee, S.K.: Model for cyclic fatigue of quasiplastic ceramics in contact with spheres. J. Am. Ceram. Soc. 83, 2255 (2000).CrossRefGoogle Scholar
20Mouginot, R. and Maugis, D.: Fracture indentation beneath flat and spherical punches. J. Mater. Sci. 20, 4354 (1985).CrossRefGoogle Scholar
21Chai, H., Lawn, B.R. and Wuttiphan, S.: Fracture modes in brittle coatings with large interlayer modulus mismatch. J. Mater. Res. 14, 3805 (1999).CrossRefGoogle Scholar
22Lawn, B.R., Deng, Y. and Thompson, V.P.: Use of contact testing in the characterization and design of all-ceramic crown-like layer structures: A review. J. Prosthet. Dent. 86, 495 (2001).CrossRefGoogle Scholar
23Guiberteau, F., Padture, N.P. and Lawn, B.R.: Effect of grain size on Hertzian contact in alumina. J. Am. Ceram. Soc. 77, 1825 (1994).CrossRefGoogle Scholar
24Cai, H., Kalceff, M.A.S., Hooks, B.M., Lawn, B.R. and Chyung, K.: Cyclic fatigue of a mica-containing glass–ceramic at Hertzian contacts. J. Mater. Res. 9, 2654 (1994).CrossRefGoogle Scholar
25Lee, S.K. and Lawn, B.R.: Contact fatigue in silicon nitride. J. Am. Ceram. Soc. 82, 1281 (1999).CrossRefGoogle Scholar
26Timoshenko, S. and Goodier, J.N.: Theory of Elasticity (McGraw-Hill, New York, 1951).Google Scholar
27Lawn, B.R.: Hertzian fracture in single crystals with the diamond structure. J. Appl. Phys. 39, 4828 (1968).CrossRefGoogle Scholar
28Evans, A.G. and Fuller, E.R.: Crack propagation in ceramic materials under cyclic loading conditions. Metall. Trans. 5, 27 (1974).CrossRefGoogle Scholar