Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T02:10:20.189Z Has data issue: false hasContentIssue false

Thermodynamics and Kinetics of Interfacial Decohesion

Published online by Cambridge University Press:  10 February 2011

Y. Mishin
Affiliation:
Department of Materials Science and Engineering, Virginia Polytechnic Institute and State Univ., Blacksburg, VA 24061–0237
C. J. McMahon
Affiliation:
Department of Materials Science and Engineering, Univ. of Pennsylvania, Philadelphia, PA 19104
J. L. Bassani
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, Univ. of Pennsylvania, Philadelphia, PA 19104
P. Sofronis
Affiliation:
Department of Theoretical and Applied Mechanics, Univ. of Illinois at Urbana-Champaign, Urbana, IL 61801
Get access

Abstract

Thermodynamic and kinetic aspects of interfacial decohesion are analyzed for a uniform separation along an interface subjected to a uniform tensile stress normal to the interface. During the separation process, an embrittling impurity can penetrate into the interface and reduce its cohesive strength. Rice(1976) and Hirth and Rice (1980) analyzed this process in great detail, and in particular considered two limiting cases: slow separation (constant chemical potential of the impurity) and fast separation (constant impurity concentration). Our work extends their analysis to intermediate, time-dependent situations, which correspond to the problem at hand. A phenomenological model is introduced to describe the free energy of the interfacial “solid solution”, stress-separation curves as functions of the impurity concentration, and kinetics of separation. The observed separation kinetics, as well as the work of decohesion, cohesive strength and other interfacial properties, depend on the interrelation between the strain rate and the impurity diffusion rate. An equation of stress-driven diffusion along the interface is derived, and the origin of the stress effect on diffusion is analyzed.

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] McMahon, C. J., Mater. Sci. Eng. A 260, vii (1999).Google Scholar
[2] Rice, J. R., In Effect of Hydrogen on Behaviour of Materials, eds. Thompson, A. M. and Bernstein, I. M., TMS-AIME, New York (1976).Google Scholar
[3] Hirth, J. P. and Rice, J. R., Metall. Trans. A 11, 1501 (1980).Google Scholar
[4] Gibbs, J. W., Collected Works, volume 1, Yale University Press, New Haven, Connecticut (1957).Google Scholar
[5] Cahn, J. W., In Interfacial Segregation, eds. Johnson, W. C. and Blakely, J. M., ASM, Metals Park, OH (1979).Google Scholar