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Bubble Density Dependent Functionals to Describe Deformation and Stress Equilibrium Evolution for In-Reactor Nuclear Fuel Materials

Published online by Cambridge University Press:  26 February 2011

Ray B. Stout
Ray B. Stout*
Affiliation:
raybstout@comcast.net, Rho Beta Sigma Affaires, Analyses, 954 Venus Way, Livermore, CA, 94550, United States, 925 449 4176
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Abstract

Future designs of nuclear fuels require an increased understanding of fission gas bubble density evolution. Derivations will be provided for a generic Boltzmann bubble density evolution equation, a bubble density deformation field equation, and a Cauchy stress/bubble-pressure equilibrium equation.

Keywords

nucleation & growthkineticsporosity
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 981: Symposium JJ – Structural and Refractory Materials for Fusion and Fission Technologies , 2006 , 0981-JJ07-04
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES

1. Boltzmann, , Ludwig, [1964 translation]: Lectures on Gas Theory, translated by Brush, S. for University of California Press, Berkeley, CA.Google Scholar
2. Stout, R.B.[2006]: Stochastic Deformations and Bubble Density Evolution in Nuclear Materials, ρβσ A Report 00016, Jun06Google Scholar
3. Shilov, G.E., and Gurevich, B.L.[1977]: Integal, Measure,& Derivative: A Unified Approach, Dover Publications, Inc.( NY).Google Scholar
4. Riesz, F. and Sz.-Nagy, B.[1990]: Functional Analysis, Dover Publications(NY) paperback edition of Ungar-Publication Co.(NY) 1955 edition.Google Scholar
5. Oden, J.T., J.T., [1972] Finite Elements of Non-linear Continua; 1972 McGraw-Hill, Inc.Google Scholar
6. Eringen, A.C. [1967], Mechanics of Continua, John Wiley & Sons, NY.Google Scholar
7. Ferry, C., Poinssot, C., Broudic, V., Cappelaere, C., Desgranges, L., Garcia, P., Jegou, C., Lovera, P., Marimbeau, P., Piron, J-P., Poulesquen, A., Roudil, D., Gras, J-M., and Bouffioux, P.[2005], Synthesis on the Spent Fuel Long Term Evolution, CEA Saclay PRECCI-Rapport CER-R- 6084, July05.Google Scholar
8. Wiss, T.A.G., Konings, R.J.M., Walker, C.T., and Thiele, H.[2003], Microstructure characterization of irradiated AM-containing MgAl2O4, J. Nuclear Materials, vol.324, pages 85–95.Google Scholar
9. Wiss, T.A.G., Damen, P.M.G., Hiernaut, J-P., and Ronchi, C.[2004], Helium and xenon behaviour in irradiated AM-containing MgAl2O4, J. Nuclear Materials, vol.324, pages 1-12.Google Scholar