Equation of state for aluminum containing helium bubbles
J. Appl. Phys. 106, 083519 (2009); doi:10.1063/1.3247960
Published 27 October 2009
You are logged in to this journal.
A theoretical model for equation of state (EOS) of aluminum with helium bubbles is presented. Based on this EOS, the influence of helium bubbles on shock loading is examined. The Hugoniot curve (temperature versus pressure as well as shock velocity versus particle velocity) for aluminum containing bubbles is calculated for various bubbles mass, bubbles percentage, and helium EOS models. The bubble mass and concentration seem to affect the measurably Hugoniot curve. The EOS model, implied for the helium in the bubbles, has minor significance, which means our model is not sensitive to the details of the helium EOS. Our findings are consistent with experiments available in the literature.
©2009 American Institute of Physics
| History: | Received 3 September 2009; accepted 7 September 2009; published 27 October 2009 |
| Permalink: |
http://link.aip.org/link/?JAPIAU/106/083519/1 |
REFERENCES (18)
-
A. Kubota, D. B. Reisman, and W. G. Wolfer, Appl. Phys. Lett. 88, 241924 (2006).
-
H. -Y. Wang, W. -J. Zhu, S. -J. Liu, Z. -F. Song, X. -L. Deng, X. -R. Chen, and H. -L. He, Nucl. Instrum. Methods Phys. Res. B 267, 849 (2009). [Inspec]
-
W. G. Wolfer, High Density Equation of State for Helium and Its Applications to Bubbles in Solids, UMWFDM-350, ASTM-STP (ASTM International, West Conshohocken, PA, 1981), pp. 201–212.
-
K. S. Holian et al., “T-4 handbook of material properties databases: Vol. I Equation of state,” LANL Report No. LA-10160-MS, UC-34, 1984.
-
N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).
-
H. Trinkaus, Radiat. Eff. 78, 189 (1983). [Inspec]
-
H. Trinkaus and B. N. Singh, J. Nucl. Mater. 323, 229 (2003). [ISI]
-
D. J. Steinberg, “Equation of state and strength properties of selected materials,” Lawrence Livermore Report No. UCRL-MA-106439 (1991).
-
J. A. Barker and D. Henderson, Rev. Mod. Phys. 48, 587 (1976).
-
D. A. Young, A. K. McMahan, and M. Ross, Phys. Rev. B 24, 5119 (1981). [ISI]
-
I. R. Brearley and D. A. MacInnes, J. Nucl. Mater. 95, 239 (1980). [Inspec]
-
J. A. Barker and D. Henderson, J. Chem. Phys. 47, 4714 (1967).
-
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
-
R. L. Mills, D. H. Liebenberg, and J. C. Bronson, Phys. Rev. B 21, 5137 (1980). [ISI]
-
C. S. Zha, H. K. Mao, and R. J. Hemley, Phys. Rev. B 70, 174107 (2004). [ISI]
-
Y. B. Zeldovich and Y. P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamics Phenomena (Dover, New York, 2002).
-
B. Glam, S. Eliezer, D. Moreno, L. Perelmutter, M. Sudai, and D. Eliezer, “Shock wave experiments in aluminum with helium bubbles,” Int. J. Fract. (to be published).
-
S Eliezer and K. Mima, Application of Laser Plasma Interaction (CRC, New York, 2009), p. 200.






