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Thermal Misfit and Thermal Fatigue Induced Damage in Brittle Composites

Published online by Cambridge University Press:  15 February 2011

N. Sridhar ,
J. M. Rickman  and
D. J. Srolovitz
N. Sridhar
Affiliation:
Department of Materials Science and Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.
J. M. Rickman
Affiliation:
Department of Materials Science and Engineering, Lehigh University, Bethlehem, PA 18015, U.S.A.
D. J. Srolovitz
Affiliation:
Department of Materials Science and Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A. Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel
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Abstract

We examine the conditions under which differences in thermal expansion between a particle and the matrix leads to crack growth within the matrix. Using linear elastic fracture mechanics, we obtain closed-form, analytical results for the case of a penny shaped crack present in the matrix interacting with a spherical inclusion which is misfitting with respect to the matrix. A simple and direct relationship is established between the strain energy release rate, the crack size, the crack orientation with respect to the inclusion, the crack/inclusion separation, the degree of thermal expansion mismatch and the elastic properties of the medium. We also analyze the size to which these cracks can grow and find that for a given misfit strain and material properties, crack growth is inhibited beyond a certain critical crack size. Finally, the preferred orientation of these cracks as a function of misfit strain is predicted. The implication of these results for thermal cycling are analyzed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 350: Symposium U – Intermetallic Matrix Composites III , 1994 , 267
Copyright
Copyright © Materials Research Society 1994

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References

[1] Davidge, R. W. and Green, T. J., J. Mater. Sci. 3, 629 (1968).Google Scholar
[2] Evans, A. G., J. Mater. Sci. 9, 1145 (1974).Google Scholar
[3] Claussen, N., Steeb, J., and Pabst, R. F., Bull. Am. Ceram. Soc. 56, 559 (1977).Google Scholar
[4] Gu, W.-H., Faber, K. T. and Steinbrech, R. W., Acta metall. 40, 3121(1992).Google Scholar
[5] Lange, F. F., in Fracture Mechanics of Ceramics, Vol. 2, p.599, Edited by Bradt, R.C., Hasselman, D.P.H. and Lange, F.F. (Plenum, New York, 1976).Google Scholar
[6] Green, D. J., J. Amer. Ceram. Soc. 64, 138 (1981).Google Scholar
[7] Green, D. J., in Fracture Mechanics of Ceramics, Vol. 5, p.457, Edited by Bradt, R.C., Evans, A.G., Hasselman, D.P.H. and Lange, F.F. (Plenum, New York, 1983).Google Scholar
[8] Singh, J. P., Hasselman, D. P. H., Su, W. M., Rubin, J. A. and Palicka, R., J. Mat. Sci. 16, 141 (1981).Google Scholar
[9] Lange, F. F., in Fracture Mechanics of Ceramics, Vol. 4, p.799, Edited by Bradt, R.C., Hasselman, D.P.H. and Lange, F.F. (Plenum, New York, 1978).Google Scholar
[10] Eshelby, J. D., Prog. Sol. Mech. 2, 89 (1961).Google Scholar
[11] Sneddon, I. N. and Lowengrub, M., Crack Problems in the Classical Theory of Elasticity (Wiley, New York, 1969).Google Scholar
[12] Barber, J. R., Elasticity. (Kluwer Academic Publishers, Boston, 1992).Google Scholar
[13] Sridhar, N., Rickman, J.M. and Srolovitz, D.J., Submitted to Acta metall.Google Scholar
[14] Guidera, J. T. and Lardner, R. W., J. Elasticity 5, 59 (1975).Google Scholar