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Coherency Strain and a New Yield Criterion

Published online by Cambridge University Press:  14 March 2011

N.B. Jayaweera
Affiliation:
Department of Physics, Queen Mary, University of London, London E1 4NS, UK
J.R. Downes
Affiliation:
Department of Physics, Queen Mary, University of London, London E1 4NS, UK
D.J. Dunstan
Affiliation:
Department of Physics, Queen Mary, University of London, London E1 4NS, UK
A.J. Bushby
Affiliation:
Department of Materials, Queen Mary, University of London, London E1 4NS, UK
P. Kidd
Affiliation:
Department of Physics, Queen Mary, University of London, London E1 4NS, UK
A. Kelly
Affiliation:
Department of Materials Science and Metallurgy, University of Cambridge, Pembroke St., Cambridge CB2 3QZ, UK
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Abstract

We have studied the onset of plasticity in coherently-strained semiconductor superlattices, using nano-indentation with spherical indenter tips to observe the full stress-strain curve. The yield pressure is reduced by as much as a factor of two by the presence of the coherency strain. By varying the thicknesses and strains of the superlattice layers, we provide a proof that yield commences over a finite volume. It is properties averaged or summed over this volume which determine the yield pressure. We show that the relevant yield criterion for our experimental data is the rate of change of elastic strain energy with plastic relaxation, integrated over a volume of the order of a micron across. This result is expected to be valid for other systems with highly inhomogenous strain fields, and hence to be applicable to modelling of point contact, and to the design and understanding of structural materials which have coherently-strained microstructure.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

1. Cook, G., Engineering, 132, 343 (1931).Google Scholar
2. Kelly, A., and Macmillan, N.H., Strong Solids (Clarendon Press, Oxford, 1986) 3rd edition, p. 116 and Sect. 4.3.4 – 4.3.5.Google Scholar
3. Jayaweera, N.B., Bushby, A.J., Kidd, P., Kelly, A. and Dunstan, D.J., Phil. Mag. Lett. 79, 343 (1999).Google Scholar
4. Brenchley, M.E., Hopkinson, M., Kelly, A., Kidd, P., and Dunstan, D.J., Phys. Rev. Lett. 78, 3912 (1997).Google Scholar
5. Field, J.S., and Swain, M.V., J. Mater. Res., 8, 297 (1993); 78 10, 101 (1995).Google Scholar
6. Bushby, A.J., Downes, J.R., Jayaweera, N.B., Kidd, P., Kelly, A. and Dunstan, D.J., in,, Mat. Res. Soc. Symp. Proc, ‘Fundamentals of nanoindentation and nanotribology II’ (2001)Google Scholar