Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-27T04:44:38.693Z Has data issue: false hasContentIssue false
  • English
  • Français

Modeling of effects of adhesive interlayers on contact-induced radial cracking in brittle coatings on substrates

Published online by Cambridge University Press:  31 January 2011

Chun-Hway Hsueh ,
Jong Ho Kim  and
Do Kyung Kim
Chun-Hway Hsueh
Affiliation:
Metals and Ceramics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
Jong Ho Kim
Affiliation:
Department of Materials Science and Engineering, Korea Advanced Institute of Science and Technology, Yusong, Taejon 305–701, Korea
Get access

Abstract

The effects of soft adhesive interlayers on contact-induced radial cracking in brittle coatings on supporting substrates were investigated recently. A semiempirical equation for the critical load to initiate radial cracking was derived, which used three fitting parameters obtained by comparison with the finite element results. An analytical model is derived in the present study to illustrate the effects of adhesive interlayers. This is achieved by adopting the analogy between the coating/substrate system and a plate on an elastic foundation. In the presence of an adhesive interlayer, the interlayer/substrate bilayer is treated as the effective elastic foundation. The effective modulus of foundation for the bilayer is derived, and the solution for coating/interlayer/substrate systems can be obtained from the existing solution for coating/substrate systems by replacing the modulus of foundation. Specific results are calculated for critical loads to initiate radial cracks in silicon coatings bonded by adhesive interlayers of different materials and thicknesses to glass substrates. The present analytical solution provides an alternative other than the existing semiempirical equation in predicting the effects of adhesive interlayers.

Type
Articles
Information
Journal of Materials Research , Volume 18 , Issue 6 , June 2003 , pp. 1481 - 1486
Copyright
Copyright © Materials Research Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Clegg, W.J., Kendall, K., Alford, N.M., Button, T.W., and Birchall, J.D., Nature 347, 455 (1991).CrossRefGoogle Scholar
2.Folsom, C.A., Zok, F.W., and Lang, F.F., J. Am. Ceram. Soc. 77, 689 (1994).CrossRefGoogle Scholar
3.Chai, H., Lawn, B.R., and Wuttiphan, S., J. Mater. Res. 14, 3805 (1999).CrossRefGoogle Scholar
4.Scherrer, S.S., Rijk, W.G.d., Belser, U.C., Meyer, J-M., Dent. Mater. 10, 172 (1994).CrossRefGoogle Scholar
5.Bennison, S.J., Jagota, A., and Smith, C.A., J. Am. Ceram. Soc. 82, 1761 (1999).CrossRefGoogle Scholar
6.Lawn, B.R., Deng, Y., and Thompson, V.P., J. Prosthet. Dent. 86, 495 (2001).CrossRefGoogle Scholar
7.Chai, H. and Lawn, B.R., J. Mater. Res. 15, 1017 (2000).CrossRefGoogle Scholar
8.Kim, J.H., Miranda, P., Kim, D.K., and Lawn, B.R., J. Mater. Res. 18, 222 (2003).CrossRefGoogle Scholar
9.Kim, H.W., Deng, Y., Miranda, P., Pajares, A., Kim, D.K., Kim, H.E., and Lawn, B.R., J. Am. Ceram. Soc. 84, 2377 (2001).CrossRefGoogle Scholar
10.Chai, H. and Lawn, B.R., Acta Mater. 50, 2613 (2002).CrossRefGoogle Scholar
11.Miranda, P., Pajares, A., Guiberteau, F., Cumbrera, F.L., and Lawn, B.R., J. Mater. Res. 16, 115 (2001).CrossRefGoogle Scholar
12.Hsueh, C.H. and Miranda, P., J. Mater. Res. 18, 1275 (2003).CrossRefGoogle Scholar
13.Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells (McGraw-Hill, New York, 1959).Google Scholar
14.Johnson, K.L., Contact Mechanics (Cambridge University Press, London, U.K., 1985).CrossRefGoogle Scholar
15.Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity (New York, McGraw-Hill, 1951).Google Scholar
16.Boussinesq, J., Application des Potentials à l’etude de l’équilibre et du Mouvment des Solids élastiques, Gauthier-Villars, Paris, 1885.Google Scholar