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Elastic Analysis of Twinning in Misfitting Thin Films

Published online by Cambridge University Press:  15 February 2011

N. Sridhar ,
J.M. Rickman  and
D.J. SroIovitz
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, The University of Michigan, Ann Arbor, MI 48109, U.S.A..
D.J. SroIovitz
Affiliation:
Department of Materials Science and Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A..
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Abstract

We examine the conditions under which a misfitting thin film on a substrate will twin and the pattern of the twin microstructure that will form. Using linear elasticity theory, we present exact analytical results for the energy released due to the formation of a periodic array of twinned domains as well as that for a single embedded twin domain. While the analysis is applicable to general misfit strain tensors, we specifically analyze the energetics of twinned domain formation for a tetragonal film on a cubic substrate. The analysis shows that for a periodic distribution of twins, the equilibrium width of the domains of the two variants are identical. Our results also show that the equilibrium periodicity of the microstructure scales inversely with film thickness for large film thickness and decays exponentially with increasing film thickness for small film thicknesses.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 389: Symposium R – Modedling and Simulation of Thin-Film Processing , 1995 , 149
Copyright
Copyright © Materials Research Society 1995

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References

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