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Finite element simulation of exfoliation experiments

Published online by Cambridge University Press:  29 June 2016

Gerald L. Nutt*
Affiliation:
Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, California 94550
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Abstract

We previously reported bond strength measurements of metal/ceramic interfaces using shock waves to separate the bond by spallation. The technique relies on interpretation of the free surface velocity of a metal film as it is spalled from its substrate. A number of questions have been raised concerning the details of the interaction of the shock and interface. We provide answers by numerically modeling the experiments. We rederive the relationship between the maximum stress at the bond interface and the free surface velocity of the metal overlayer. We compare the analytical result with numerical calculations based on less restrictive assumptions, thereby supporting the analysis. We illustrate important design considerations of the experiment with numerical calculation and in the process, evaluate the effect of the artificial damping on the numerical results.

Type
Articles
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1.Nutt, Gerald L., Lai, William, Froeschner, Kenneth E., and King, Wayne E., in Metal-Ceramic Interfaces, edited by Riihle, M., Evans, A.G., Ashby, M.F., and Hirth, J. P. (Acta-Scripta Metallurgica, 1989), pp. 307312.Google Scholar
2.Nutt, Gerald L., Lai, William, Froeschner, Kenneth E., and King, Wayne E., in Interfaces between Polymers, Metals, and Ceramics, edited by DeKoven, B.M., Gellman, A.J., and Rosenberg, R. (Mater. Res. Soc. Symp. Proc. 153, Pittsburgh, PA, 1989), pp. 385390.Google Scholar
3.Snowden, W.E., Mater. Sci. Res. 14, 651 (1981).Google Scholar
4.Gupta, V., Argon, A.S., Cornie, J.A., and Parks, D.M., Mater. Sci. & Eng. A 126, 105117 (1990).Google Scholar
5.Hallquist, J.O., Users' Manual for DYNA2D, an Explicit Two-Dimensional Hydrodynamic Finite Element Code with Interactive Rezoning, Technical Report UCID 18756, Rev. 2, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA, 1984.Google Scholar
6.Zel'dovich, Ya. B. and Raizer, Yu.P., Physics of Shock Waves and High Temperature Hydrodynamic Phenomena (Academic Press, New York, 1967), Vol. II.Google Scholar
7.von Neumann, J. and Richtmyer, R.D., J. Appl. Phys. 21, 232237 (1950).Google Scholar
8.Viecelli, J.A., J. Comp. Phys. 12, 187201 (1973).Google Scholar
9.White, J.W., J. Comp. Phys. 16 (2), 119126 (1974).Google Scholar
10.White, J.W., A Different Approach to Artificial Viscosity, Technical Report UCRL 89196, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA, 1983.Google Scholar
11.Gathers, G. Roger, J. Appl. Phys. 67, 40904092 (1990).CrossRefGoogle Scholar
12.van Thiel, M., Compendium of Shock Wave Data, Technical Report UCRL 50108, vol. 1, Rev. 1, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA, 1977.Google Scholar
13.LASL Shock Hugoniot Data, edited by Marsh, Stanley P. (University of California Press, Berkeley, CA, 1980).Google Scholar
14.Barker, L.M. and Hollenbach, R.E., J. Appl. Phys. 41 (10), 42084226 (1970).Google Scholar
15.Steinberg, Daniel J., Equation of State and Strength Properties of Selected Materials, Technical Report UCRL-MA-106439, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA, 02 13, 1991.Google Scholar
16.Nutt, Gerald L., in Atomic Scale Structure of Interfaces, edited by Bringans, R.D., Feenstra, R.M., and Gibson, J. M. (Mater. Res. Soc. Symp. Proc. 159, Pittsburgh, PA, 1990), pp. 465471.Google Scholar
17.Ferrante, J. and Smith, J.R., Phys. Rev. B 31 (6), 34273434 (1985).Google Scholar
18.Novikov, S.A. and Chernov, A.V., J. Appl. Mech. Tech. Phys. 23, 703705 (1982).Google Scholar