Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-25T17:55:20.157Z Has data issue: false hasContentIssue false

The Nature of Crack Tip Fields in Atomic Scale Models of Aluminum

Published online by Cambridge University Press:  16 February 2011

R. G. Hoagland
Affiliation:
Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164–2920
M. S. Daw
Affiliation:
Sandia Natinal Laboratories, Livermore, CA 94551–0969
S. M. Foiles
Affiliation:
Sandia Natinal Laboratories, Livermore, CA 94551–0969
M. I. Baskes
Affiliation:
Sandia Natinal Laboratories, Livermore, CA 94551–0969
Get access

Abstract

The stresses, displacement gradients, and Eshelby's F and M integrals are obtained for two crack orientations in an EAM atomic model of aluminum. For a sharp crack, the stresses are shown to agree quite well with the linear elastic prediction, and F is essentially path independent and also in good agreement with the linear elastic prediction. When dislocation emission and blunting ensues, the path independence of F disappears. In addition, for circular contours with origin at the crack tip, the M-integral is linear in contour radius with slope equal to twice the surface energy and zero intercept for a sharp crack, but acquires a nonzero intercept as blunting occurs. The shift in intercept is related to the movement of singularities away from the origin.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

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. Eshelby, J. D., in Prog. Solid State Physics, edited by Seitz, F. and Turnbull, D., 3, (Academic Press, N. Y., 1956), p. 79.Google Scholar
2. Eshelby, J. D., J. Elasticity, 5, 321 (1975).Google Scholar
3. Hirth, J. P., Hoagland, R. G., and Popelar, C., Acta Metall., 32, 371 (1984).Google Scholar
4. Rice, J. R., J. Appl. Mech., 35, 379 (1968).Google Scholar
5. Hoagland, R. G., Daw, M. S., Foiles, S. M., and Baskes, M. I., J. Mater. Res, 5, 313 (1990).Google Scholar
6. Rice, J. R., in Fundamentals of Deformation and Fracture, edited by Bilby, B. A., et. al., (1975), p. 33.Google Scholar
7. Sih, G. C. and Liebowitz, H., in Fracture - An Advanced Treatise, edited by Liebowitz, H., 2, (Academic Press, N. Y., 1968), p. 67.Google Scholar