Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T00:33:01.281Z Has data issue: false hasContentIssue false

Stresses and Elastic Constants at the Atomic Scale and the Link to the Continuum

Published online by Cambridge University Press:  01 February 2011

T.J. Delph*
Affiliation:
Dept. of Mechanical Engineering & MechanicsLehigh UniversityBethlehem, PA 18015, USA
Get access

Abstract

We report here on recent work aimed at clarifying the definition of various atomic-level stress measures and the relationships between them. We also offer a definition for the local elastic constants. Finally, we examine the convergence of volume-averaged versions of these quantities to their continuum counterparts as the length scale, the radius of the averaging volume in the present case, approaches the continuum scale.

Type
Research Article
Copyright
Copyright © Materials Research Society 2005

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

1 Hardy, R.J. J. Chem. Phys. 76, 622 (1982).Google Scholar
2 Zimmerman, J.A. Webb, E.B. III, Hoyt, J.J. Jones, R.E. Klein, P.A. and Bammann, D.J. Modelling Simulation Mater. Sci. Eng. 12, S319 (2004).Google Scholar
3 Keating, P.M. Phys. Rev. 145, 637 (1966).Google Scholar
4 Martin, J.M. J. Phys. C 8, 2837 (1975).Google Scholar
5 Delph, T.J. Proc. Roy. Soc. A 461, 1869 (2005).Google Scholar
6 Kluge, M.D. Wolf, D. Lutsko, J.F. and Philpot, S.R. J. Appl. Phys. 67, 2370 (1990).Google Scholar
7 Cormier, J. Rickman, J.M. and Delph, T.J. J. Appl. Phys. 89, 99 (2001)Google Scholar
8 Delph, T.J. Modelling Sim. Modelling Simul. Mater. Sci. Eng. 13, 585 (2005)Google Scholar
9 Lutsko, J.F. J. Appl. Phys. 64, 1152 (1988)Google Scholar