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Mixed Mode Interface Toughness Of Metal / Ceramic Joints

Published online by Cambridge University Press:  15 February 2011

Yueguang Wei  and
John W. Hutchinson
Yueguang Wei
Affiliation:
Division of Applied Sciences, Harvard University, Cambridge, MA 02138
John W. Hutchinson
Affiliation:
Division of Applied Sciences, Harvard University, Cambridge, MA 02138
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Abstract

A mechanics study of the interface toughness of joints comprised of ceramic substrates joined by a thin ductile metal layer is carried out for arbitrary combinations of mode I and mode II loading. The crack lies on one of the metal/ceramic interfaces, and the mechanism of separation at the crack tip is assumed to be atomic decohesion. The SSV model proposed by Suo, Shih and Varias is invoked. This model employs a very narrow elastic strip imposed between the substrate and the ductile layer to model the expected higher hardness of material subject to high strain gradients and possible dislocation-free zone in the immediate vicinity of the crack tip. The criterion for crack advance is the requirement that energy release rate at the crack tip in this narrow elastic strip be the atomistic work of fracture. The contribution of plastic dissipation in the metal layer to the total work of fracture is computed as a function of the thickness and yield strength of the layer and of the relative amount of mode II to mode I. Ductile joints display exceptionally strong thickness and mixed mode dependencies.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 409: Symposium Q – Fracture-Instablility Dynamics, scaling and Ductile/Brittle Behavior , 1995 , 163
Copyright
Copyright © Materials Research Society 1996

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References

1. Tvergaard, V. and Hutchinson, J. W., J. Mech. Phys. Solids, 41, p. 1 119(1993).Google Scholar
2. Tvergaard, V. and Hutchinson, J. W., Phil. Mag., 70, p.641(1994).Google Scholar
3. Reimanis, I. E., Dalgleish, B. J., Brahy, M., Ruhle, M., , M. and Evans, A. G., Acta Metall. Mater., 38, p.2645(1990).Google Scholar
4. Reimanis, I. E., Dalgleish, B. J., and Evans, A. G., Acta Metall. Mater., 39, p.3133(1991).Google Scholar
5. Elssner, G., Kom, D. and Ruhle, M., Scripta Metallurgica et Materialia, 31, p.1037(1994).Google Scholar
6. Needleman, A., J. Appl. Mech., 54, p.525(1987).Google Scholar
7. Suo, Z., Shih, C. F. and Varias, A. G., Acta Metall. Mater., 41, p.1551(1993).Google Scholar
8. Beltz, G. E., Rice, J. R., Shih, C. F. and Xia, L., A Self-Consistent Model for Cleavage in the Presence of Plastic Flow, Submitted to Acta Metall. Mater., (1995).Google Scholar
9. Dean, R. H. and Hutchinson, J. W., Ouasi-static steady crack growth in small-scale yielding, Fracture Mechanics: Twelfth Conference, ASTM STP700, p.383(1980), Philadelphia, PA.Google Scholar