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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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