Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-29T07:45:46.809Z Has data issue: false hasContentIssue false

Analysis of Microfabricated Textured Multicrystalline Beams: I. Homogenization Approach

Published online by Cambridge University Press:  15 February 2011

Dariush Mirfendereski
Affiliation:
Department of Civil Engineering, University of California, Berkeley CA 94720.
Mauro Ferrari
Affiliation:
Department of Civil Engineering, University of California, Berkeley CA 94720. also, Department of Materials Science and Mineral Engineering.
Armen Der Kiureghian
Affiliation:
Department of Civil Engineering, University of California, Berkeley CA 94720.
Get access

Abstract

This paper discusses a deterministic approach to the stress and deformation analysis of miniaturized structures. Analytical Voigt-Reuss-Hill averages for the elements of the fourth-ranked elasticity tensor representing a polycrystal are evaluated for a planar problem and the variations of elastic moduli with respect to the degree of anisotropy and the mean and coefficient of variation of the preferred orientation direction are studied. The applicability of the averaging methods to the characterization of materials used in micro-electro-mechanical systems are then assessed.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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. Mullen, R. L., Mehregany, M., Omar, M. P., and Ko, W. H., “Theoretical Modeling of Boundary Conditions in Microfabricated Beams.” Proc. IEEE Microelectromechanical Systems, Nara Japan, 154159 (1991).Google Scholar
2. Pourahmadi, F., Barth, P., and Petersen, K., Sensors and Actuators, A21–A23, 850 (1990).Google Scholar
3. Bunge, H. J., Texture Analysis in Materials Science, (Butterworth, Berlin 1982), p. 42.Google Scholar
4. Voigt, W., Lehrbuch der Kristallphysik, (Teubner, Leipzig 1928), p. 962.Google Scholar
5. Hirsekorn, S., Textures and Microstructures, 12, 1 (1990).Google Scholar
6. Chandrasekar, S. and S., Santhanam, J. Mat. Sci., 24, 4265 (1989).Google Scholar
7. Kröner, E., J., Engng. Mech. Div. ASCE, 106, 889 (1980).Google Scholar
8. Reuss, A. Z., angew. Math. Mech., 9, 55 (1929).CrossRefGoogle Scholar
9. Hill, R., Proc. Phys. Soc., A 65, 349 (1952).Google Scholar
10. Bunge, H. J., Krist. Tech., 3, 431 (1968).Google Scholar
11. Morris, Peter R., Int. J. Engng. Sci., 8, 49 (1970).Google Scholar
12. Ferrari, Mauro and Johnson, George C., J. Appl. Phys., 63, 4460 (1988).CrossRefGoogle Scholar
13. Ferrari, Mauro and Johnson, George C., to appear in J. Appl. Phys.Google Scholar
14. Rand, R. H., Computer Algebra in Applied Mathematics: An Introduction to MACSYMA (Pitman Publishers, Marshfield, MA, 1984).Google Scholar
15. Hashin, Z. and Shtrikman, S. J., J. Mech. Phys. Solids, 10, 343 (1962).CrossRefGoogle Scholar
16. Morawiec, A., Phys. Stat. Sol. (b), 154, 535 (1989).Google Scholar