Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-19T01:54:23.846Z Has data issue: false hasContentIssue false
  • English
  • Français

Representation of the Microstructural Dependence of the Anisotropic Elastic Constants of Textured Materials

Published online by Cambridge University Press:  21 February 2011

Stephen C. Cowin
Stephen C. Cowin*
Affiliation:
Department of Mechanical Engineering, City College of the City University of New York, New York, N. Y. 10031
Get access

Abstract

This paper addresses the question of representing the dependence of the elastic coefficients in the anisotropic form of Hooke's law upon the microstructure of a material. The concern is with textured material symmetries, that is to say materials such as natural and man-made composites whose material symmetry is determined by microstructural organization. The approach is to relate the anisotropic elastic coefficients to local geometric or stereological measures of the microstructure. The predictions of micromechanical models and continuum mechanical models are compared and are found to be consistent with each other.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 207: Symposium I – Mechanical Properties of Porous and Cellular Materials , 1990 , 83
Copyright
Copyright © Materials Research Society 1991

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

1. Cowin, S. C., Mech. Mater., 4, 137 (1985).Google Scholar
2. Cowin, S. C., ASME J. Biomech. Eng. 108, 83 (1986).Google Scholar
3. Turner, C. H., Cowin, S. C., Rho, J. Y., Ashman, R. B., Rice, J. C., J. Biomech. 22, 549 (1990).Google Scholar
4. Huber, A. T. and Gibson, L. J., J. Mater. Sci 2, 3031 (1988).Google Scholar
5. Turner, C. H. and Cowin, S. C., J. Mater. Sci. 22, 3178 (1987).Google Scholar
6. Cowin, S. C., in US-Japan Seminar on Continuum Mechanical and Statistical Approaches in the Mechanics of Granular Materials, edited by Cowin, S. C. and Satake, M., (Gakujutsu Bunken Fukyu-kai, Sendai, 1978), pp. 162–170.Google Scholar
7. Whitehouse, W. J., J. Microscopy 101, 153 (1974).Google Scholar
8. Whitehouse, W. J., Dyson, E. D., J. Anatomy 118, 417 (1974).Google Scholar
9. Harrigan, T. P., Mann, R. W., J. Mater. Sci. 19, 761 (1984).Google Scholar
10. Hodgskinson, R. and Currey, J. D., Proc. Instn. Mech. Engrs. 204, 101 (1990).Google Scholar
11. Oda, M., Soils Found. 12, 17 (1972).Google Scholar
12. Oda, M., Konishi, J., Nemat-Nasser, S., Geotechnique 30, 497 (1980).CrossRefGoogle Scholar
13. Satake, M., Theor. AppI. Mech. 26, 257 (1978).Google Scholar
14. Ishibashi, I., Agarwal, T., Ashraf, S. A., in Proc. 1st US Conf. on Discrete Element Methods. (1989)Google Scholar
15. Tovey, N. K., J. Microscopy 120, 303 (1980).CrossRefGoogle Scholar
16. Oda, M., Mech. Mater. 2, 163 (1983).Google Scholar
17. Oda, M., Suzuki, K., Maeshibu, T., Soils Found. 24, 27 (1984).Google Scholar
18. Ericksen, J. L., in Encyclopedia of Physics edited by Truesdell, C. A., (Springer, Berlin, 1960), pp. 794–858.Google Scholar
19. Kanatani, K., J. Jpn. Soil Mech. Found Eng. 23, 171 (1983).Google Scholar
20. Kanatani, K., Int. J. Eng. Sci. 22, 149(1984).CrossRefGoogle Scholar
21. Kanatani, K., Int. J. Eng. Sci. 22, 531 (1984).CrossRefGoogle Scholar
22. Kanatani, K., Soils Found. 25, 77 (1985).CrossRefGoogle Scholar
23. Kanatani, K., Int. J. Eng. Sci. 22, 587 (1985).Google Scholar
24. Philofsky, E. M., Hillard, J. E., Quart. Appl. Math. 27, 79 (1969)Google Scholar
25. Voigt, W., Lehrbuch der Kristallphysik Leipzig, 1910).Google Scholar
26. Love, A. E. H., Elasticity (Dover, New York, 1927).Google Scholar
27. Hearmon, R. F. S., An Introduction to Applied Anisotropic Elasticit.y (Oxford University Press, Oxford, 1961).Google Scholar
28. Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Elastic Body (Holden Day, San Francisco, 1963).Google Scholar
29. Fedorov, F. I., Theory of Elastic Waves in Crystals (Plenum Press, New York, 1968)Google Scholar
30. Tozeren, A., Skalak, R., J. Mater. Sci. 24, 1700 (1989).CrossRefGoogle Scholar
31. Luo, G. M., Sadegh, A. M., Cowin, S. C., J. Mater. Sci. (1991, in press).Google Scholar