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Finite Element Analysis of Nanoscale Thermal Measurements of Superlattices

Published online by Cambridge University Press:  11 February 2011

Jason R. Foley
Affiliation:
Thermal Sciences Laboratory, Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, 14853
C. Thomas Avedisian
Affiliation:
Thermal Sciences Laboratory, Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, 14853
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Abstract

A finite element analysis applicable to two- and three-dimensional heat flow in samples of arbitrary geometry and composition is presented for use in a thermal wave experiment. The finite element formulation is summarized, including the use of symmetry to simplify the problem, and the governing differential equations for the heat transport are found to be in the form of the Helmholtz equation for the specific case of a modulated heat source. Simulated data for a Nb/Si superlattice is calculated using the finite element code and is shown to agree with predictions from an analytical model, validating the approach taken.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

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References

REFERENCES

1. Huebner, K. H., Dewhirst, D. L., Smith, D. E., and Byrom, T. G., The Finite Element Method for Engineers, 4th ed., Wiley, New York, pp. 4056, 288–303, 654–655 (2001).Google Scholar
2. Mandelis, A., Phys. Today 20, 2934 (2000).Google Scholar
3. Ångström, A. J., Annln. Phys. Lpz. 114, 513520 (1861).Google Scholar
4. Cahill, D. G., Rev. Sci. Instrum. 61, 802808 (1990).Google Scholar
5. Jackson, W., Amer, N. M., Boccara, A. C., and Fournier, D., Appl. Opt. 20, 13331344 (1981).Google Scholar
6. Murphy, J. C. and Aamodt, L. C., J. Appl. Phys. 51, 45804588 (1980).Google Scholar
7. Foley, J. R. and Avedisian, C. T., Proc. of the 2002 IMECE, ASME, IMECE2002–32443 19 (2002).Google Scholar
8. Arpaci, V. S., Conduction Heat Transfer, Addison-Wesley, Reading, 167178 (1966).Google Scholar
9. CASCA and FRANC2D are available from the Cornell Fracture Group (downloadable from www.cfg.cornell.edu), courtesy of Prof. Tony Ingraffea.Google Scholar