Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T01:42:14.685Z Has data issue: false hasContentIssue false

Symmetry Investigation of Textured Polycrystal Properties (Invited)

Published online by Cambridge University Press:  10 February 2011

P. J. Maudlin
Affiliation:
Los Alamos National Laboratory, Los Alamos, NM 87545
J. F. Bingert
Affiliation:
Los Alamos National Laboratory, Los Alamos, NM 87545
G. T. Gray III
Affiliation:
Los Alamos National Laboratory, Los Alamos, NM 87545
R. K. Garrett Jr.
Affiliation:
Naval Surface Warfare Center, Indian Head Division, Indian Head, MD 20604–5035
Get access

Abstract

Tantalum plate and rod materials that demonstrate mild-to-strong anisotropic plastic flow during large deformation are analyzed in terms of tensorial property symmetry. Texture interrogations of these materials reveal duplex orientation components that have implications with regard to the symmetry realized during plastic deformation; specifically these materials show less symmetry than one would expect from a cursory examination of the texture. Mesoscale polycrystal simulations are performed to probe a general shape for the yield surface function based on a discrete orientation distribution representation of the material texture and previously established single-crystal deformation modes. The yield surface shape is mathematically represented in terms of second and higher-order tensors. A plastic compliance analysis is presented and applied to graphically map the deformation symmetry contained in these tensors for both ideal and real materials. Compliance results are shown to be consistent with finite element simulations of r-value specimens loaded in uniaxial tension.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, London, 1950, pp. 315340.Google Scholar
2. Maudlin, P. J., Bingert, J. F., House, J. W., and Chen, S. R., I. J. Plasticity, 15, p. 139166 (1999).Google Scholar
3. Zuo, Q. H. and Hjelmstad, K. D., J. Acoust. Soc. Am., 103, Number 4, p. 17271733 (1998).Google Scholar
4. Hearman, R.F.S., Applied Anisotropic Elasticity, Oxford University Press, London, 1961, pp. 6889.Google Scholar
5. Johnson, J. N., J. App. Phys., 42, Number 13, p. 55225530 (1971).Google Scholar
6. Fung, Y. C., Foundations of Solid Mechanics, Prentice-Hall, NJ, 1965, pp. 142145.Google Scholar
7. Peric, D. and D. Owen, R. J., Rep. Prog. Phys., 61, p. 14951574 (1998).Google Scholar
8. Malvem, L. E., Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, NJ, 1969, pp. 123132.Google Scholar
9. Tsai, S. W. and Wu, E. M., J. Composite Materials, 5, p. 5880 (1971).Google Scholar
10. Maudlin, P. J., Wright, S. I., Kocks, U. F. and Sahota, M. S., Acta mater., 44, Number 10, p. 40274032 (1996).Google Scholar
11. Bingert, J. F., Los Alamos National Laboratory, work in progress.Google Scholar