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Finite Element Studies of Homogeneous and Heterogeneous Dislocation Nucleation based on the Rice-Peierls Framework

Published online by Cambridge University Press:  22 August 2011

T.L. Li ,
J.H. Lee  and
Y.F. Gao
T.L. Li
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996, U.S.A.
J.H. Lee
Affiliation:
Division for Research Reactor, Korea Atomic Energy Research Institute, Daejeon 305-353, Republic of Korea
Y.F. Gao
Affiliation:
Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996, U.S.A. Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, U.S.A.
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Abstract

The study of dislocation nucleation has gained increasing attentions recently primarily due to the advancement of small scale mechanical testing methods. Based on the classic Rice model of dislocation nucleation from a crack tip in which the dislocation core is modeled by a continuous slip field, a nonlinear finite element method can be formulated with the interplanar potential as the input, and the development of interplanar slip field can be solved from the resulting boundary value problems. The effects of geometric boundary conditions, loading patterns, etc. can be conveniently determined, as opposed to the time consuming molecular simulations. To validate the method, we compare the simulations results of homogeneous dislocation nucleation and heterogeneous dislocation nucleation from a two-dimensional crack tip to the literature results. As proposed by Rice and Beltz (J. Mech. Phys. Solids, 1994), the activation energy for dislocation nucleation from a three-dimensional crack tip depends on the finite thickness in the direction parallel to the crack tip, which has been successfully reproduced in the finite element simulation results reported here.

Keywords

dislocationsfracturesimulation
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1363: Symposium RR – Fundamental Science of Defects and Microstructure in Advanced Materials for Energy , 2011 , mrss11-1363-rr03-01
Copyright
Copyright © Materials Research Society 2011

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References

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