Hostname: page-component-84b7d79bbc-5lx2p Total loading time: 0 Render date: 2024-07-29T23:01:52.840Z Has data issue: false hasContentIssue false
  • English
  • Français

Chaotic dynamics in an atomistic model of environmentally assisted fracture

Published online by Cambridge University Press:  31 January 2011

Alan J. Markworth ,
J. Kevin McCoy  and
Roger W. Rollins
Alan J. Markworth
Affiliation:
Physical Metallurgy Section, Battelle Columbus Division, Columbus, Ohio 43201
J. Kevin McCoy
Affiliation:
Physical Metallurgy Section, Battelle Columbus Division, Columbus, Ohio 43201
Roger W. Rollins
Affiliation:
Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701
Get access

Abstract

A simple atomistic model of a crack tip is used to demonstrate the existence of chaotic motion of crack-tip atoms. The model, which has been developed in detail elsewhere in the literature, consists of a linear chain of four atoms. Nearest neighbors interact via Morse-function potentials, with environment-induced lattice decohesion simulated by reducing the strength of the inner bond. Dynamic calculations are carried out by allowing the two inner atoms to move freely, starting from rest in a given initial configuration, with the two end atoms being held rigidly in place, Under certain conditions, associated with large departures from minimum potential energy, the motion of the inner atoms is shown to be chaotic in a manner that is consistent with the Kosloff-Rice description of chaotic dynamics in a classical Hamiltonian system. Possible implications of the results relative to the fracture of actual materials are discussed.

Type
Articles
Information
Journal of Materials Research , Volume 3 , Issue 4 , August 1988 , pp. 675 - 686
Copyright
Copyright © Materials Research Society 1988

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

1Wilson, E. B.Am. Scientist 74, 70 (Jan.-Feb. 1986).Google Scholar
2Collins, M. A. and Rice, S. A.J. Chem. Phys. 77, 2607 (1982).CrossRefGoogle Scholar
3Hirth, J. P. in Stress Corrosion Cracking and Hydrogen Embrittlement of Iron Base Alloys, edited by Staehle, R. W.Hochmann, J.McCright, R. D. and Slater, J. E. NACE-5 (National Association of Corrosion Engineers, Houston, TX, 1977), p. 1.Google Scholar
4Markworth, A. J. and Hirth, J. P.J. Mater. Sci. 16, 3405 (1981).CrossRefGoogle Scholar
5Markworth, A. J.J. Mater. Sci. Lett. 3, 210 (1984).CrossRefGoogle Scholar
6Markworth, A. J.Mater. Lett. 2, 333 (1984).CrossRefGoogle Scholar
7Kosloffand, R.Rice, S. A.J. Chem. Phys. 74, 1947 (1981).CrossRefGoogle Scholar
8Moon, F. C.Chaotic Vibrations, an Introduction for Applied Scientists and Engineers (Wiley-Interscience, New York, 1987).Google Scholar
9Henon, M.Physica D 5, 412 (1982).CrossRefGoogle Scholar
10Lambert, J. D.Computational Methods in Ordinary Differential Equations (Wiley, New York, 1973), p. 196.Google Scholar
11Markworth, A. J. and Holbrook, J. H. in Hydrogen Degradation of Ferrous Alloys, edited by Oriani, R. A.Hirth, J. P. and Smia-lowski, M. (Noyes, Park Ridge, NJ, 1985), p. 535.Google Scholar
12Moon, F. C.Engineering: Cornell Q. 20 (3), 3 (1986).Google Scholar
13Reference 8, pp. 89–91.Google Scholar