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Strain Tensors at the Atomic Scale

Published online by Cambridge University Press:  10 February 2011

M.F. Horstemeyer  and
M.I. Baskes
M.F. Horstemeyer
Affiliation:
Sandia National Laboratories, MS9405, Livermore, CA 94550, [email protected]
M.I. Baskes
Affiliation:
Los Alamos National Laboratory, MST-8, Los Alamos, NM 87545, [email protected]
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Abstract

Almansi and Green strain tensors are developed for use in large deformation molecular dynamics/statics simulations that employ Embedded Atom Method (EAM) potentials for metals. The strain tensors are formulated with respect to the deformation gradient. A scalar potential function is used with a weighting function that is dependent upon a cutoff radius for the deformation gradient. For a homogeneous or inhomogeneous deformation, a cutoff distance of one lattice parameter can be used to approximate local strain level. Inhomogeneous deformation reveals different results for Almansi and Green strain tensors indicating that the small strain assumption cannot be used to determine large atomic strains.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 578: Symposia A/C – Multiscale Phenomena in Materials - Experiments in Modeling , 1999 , 15
Copyright
Copyright © Materials Research Society 2000

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References

Refereces

1. Mott, P.H., Argon, A.S., and Suter, U.W., J. Comp. Physics, V101, No.1, p. 140 (1992).Google Scholar
2. Falk, M.L., Phys. Rev B., Vol. 60, No. 10, p. 7062 (1999).Google Scholar
3. Daw, M.S. and Baskes, M.I., Phys. Rev., Vol B29, p. 6443 (1984)Google Scholar
4. Angelo, J.E., Moody, N.R., and Baskes, M.I., J. Modell. Simul. Mater. Sci. Eng., Vol. 3, p. 289 (1995).Google Scholar
5. Baskes, M.I., Sha, X., Angelo, J.E., and Moody, N.R., J. Modell. Simul. Mater. Sci. Eng., Vol. 5, p. 651 (1997)Google Scholar
6. Horstemeyer, M.F. and Baskes, M.I., J. Engring. Matls, Techn., V121, p. 114 (1999)Google Scholar