Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T00:35:27.536Z Has data issue: false hasContentIssue false
  • English
  • Français

The molecular wedge in a brittle crack: A simulation of mica/water

Published online by Cambridge University Press:  31 January 2011

Robb Thomson
Robb Thomson
Affiliation:
Institute for Materials Science and Engineering, National Institute of Standards and Technology, Gaithersburg, Maryland 20899
Get access

Abstract

This paper presents an atomic calculation of the wedging effect which occurs in a brittle crack when molecules of a chemisorbing species of molecules of sufficient size enter the crack mouth. A surface tension develops at the tip of the wedge caused by the difference between the covered and vacuum surface energies. This force draws the chemisorbing molecules toward the crack tip and distorts the crack faces, causing, in turn, a compensating elastic force on the molecules which tends to eject the molecules. We calculate the equilibrium penetration of the wedging molecules and the configuration of the crack and wedge by an atomistic calculation. We simulate mica/water chemistry by means of a simplification of the mica lattice and calculate interactions between the water and mica on the basis of Born–Mayer. Water is found to form a wedge tongue of two or three molecular thicknesses and a length of about 20 molecular distances, which penetrates into the crack tip cohesive zone. When strong wedging action occurs at a crack tip, crack advance near threshold loadings will be limited by molecular diffusion through the wedge tongue.

Type
Articles
Information
Journal of Materials Research , Volume 5 , Issue 3 , March 1990 , pp. 524 - 534
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

1Wiederhorn, S. M., Fuller, E. R., and Thomson, R., Metal Science 14, 450 (1980).CrossRefGoogle Scholar
2Lawn, B.R., Appl. Phys. Lett. 47, 809 (1985).CrossRefGoogle Scholar
3Lawn, B. R., Roach, D. H., and Thomson, R. M., J. Mater. Sci. 22, 4036 (1987).CrossRefGoogle Scholar
4Chan, D.Y. C. and Horn, R. G., J. Chem. Phys. 83, 5311 (1985).CrossRefGoogle Scholar
5Thomson, R. M., Scripta Metall. 22, 385 (1988).CrossRefGoogle Scholar
6Thomson, R. M., Tewary, V. K., and Masuda-Jindo, J., J. Mater. Res. 2, 619 (1987).CrossRefGoogle Scholar
7Wan, K-T., Aimard, N., Lathabai, S., Horn, R. G., and Lawn, B. R., J. Mater. Res. 5 (1), 172 (1990).CrossRefGoogle Scholar
8M. Tosi, Solid State Phys., edited by F. Seitz and D. Turnbull, 16, 1 (1964).Google Scholar
9Gaines, G. L. and Tabor, D., Nature 178, 1304 (1956).CrossRefGoogle Scholar
10Geise, R. F., Jr.Nature 248, 580 (1974).CrossRefGoogle Scholar
11Trott, G., Gutshall, P. L., and Phillips, J. M., Int. Vac. Cong., Proc. 3rd Int. Conf. Solid Surf. (1977), Vienna.Google Scholar
12Baranblatt, G.I., Adv. Appl. Math. 7, 55 (1962).Google Scholar
13Jackson, W.W. and J. West, Z. Kryst. 76, 211 (1930).Google Scholar
14Jackson, W.W. and West, J., Z. Kryst. 85, 160 (1933).Google Scholar
15Radoslovich, E.W., Acta Cryst. 13, 919 (1959).CrossRefGoogle Scholar
16Thiel, P. A. and Madey, T. E., Surf. Sci. Rpts. 7, 211 (1987).CrossRefGoogle Scholar