Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-24T00:48:33.086Z Has data issue: false hasContentIssue false
  • English
  • Français

Longitudinal Relaxation of a Thermally Stressed Fiber by Prismatic Dislocation Punching

Published online by Cambridge University Press:  26 February 2011

David C. Dunand  and
Andreas Mortensen
David C. Dunand
Affiliation:
Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139
Andreas Mortensen
Affiliation:
Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139
Get access

Abstract

A model predicting the number of prismatic loops dislocation punched at the ends of a cylindrical fiber by thermal mismatch stresses is presented and compared to another based on a mismatching ellipsoid. The longitudinal stress in the fiber and the interfacial shear stress are derived by adapting a shear-lag model to the plastic portion of the interface. In certain cases, the central part of the fiber is strained by plastic and elastic interfacial shear until it exhibits no mismatch with the matrix. This leads to a critical fiber length above which the number of punched loops is constant.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 209: Symposium K – Defects in Materials , 1990 , 305
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

REFERENCES

1. Weatherly, G.C., Met. Sci. J. 2, 237 (1968).CrossRefGoogle Scholar
2. Votava, E., Acta Metall. 11, 1105 (1963).CrossRefGoogle Scholar
3. Carrington, W., Hale, K.F., Mc Lean, D., Proc. Roy. Soc. A 259, 203 (1961).Google Scholar
4. Kim, C.T., Lee, J.K., Plichta, M.R., Metall. Trans. 21A, 673 (1990).CrossRefGoogle Scholar
5. Vogelsang, M., Arsenault, R.J., Fisher, R.M., Metall. Trans. 17A, 379 (1986).Google Scholar
6. Taya, M., Mori, T., Acta Metall. 35, 155 (1987).Google Scholar
7. Dunand, D.C., Mortensen, A., “On Plastic Relaxation of Thermal Stresses in Reinforced Metals”accepted in Acta Metall. Mater.Google Scholar
8. Dunand, D.C., Mortensen, A., “Thermal Mismatch Dislocations Produced by Large Particles in a Strain-Hardening Matrix”, accepted in Mater. Sci. Eng. A.Google Scholar
9. Eshelby, J.D., Proc. Roy. Soc. A 241, 376 (1957).Google Scholar
10. Cox, H.L., Brit. J. Appl. Phys. 3., 72 (1952).CrossRefGoogle Scholar
11. Dunand, D.C., Mortensen, A., “Dislocation Emission at Fibers: Part 1: Theory of Longitudinal Punching by Thermal Stresses”, submitted to Acta Metall. Mater. 1990.Google Scholar
12. Dunand, D.C., Mortensen, A., “Relaxed Configuration of a Row of Punched Prismatic Dislocation Loops”, submitted to Acta Metall. Mater. 1990.CrossRefGoogle Scholar
13. Dunand, D.C., Mortensen, A., “Dislocation Emission at Fibers: Part 2. Experiments and Microstructure of Thermal Punching ”, submitted to Acta Metall. Mater. 1990.Google Scholar