We use an expanded variational approach based on dissipation to study the motion of the boundary of a non-circular cylindrical, and thus essentially 2-dimensional, crystalline grain of arbitrary cross-section enclosed in another grain of the same material under conditions where the normal grain boundary motion is coupled to relative tangential motion of the grains along the grain boundary. Coupling leads to relative rotation of the crystal axes of the two grains and requires shape accommodation; we assume that the necessary mass transport for shape accommodation is by diffusion confined to the grain boundary. We include the recently-discovered fact that different modes of coupling with different coupling factors are crystallographically possible and do occur in molecular dynamic simulations.
1
New York University, United States
2
National Institute of Standards and Technology, Gaithersburg, USA
Jean E. Taylor; John W. Cahn. Shape accommodation of a rotating embedded crystal via a new variational formulation. Interfaces and free boundaries, Tome 9 (2007) no. 4, pp. 493-512. doi: 10.4171/ifb/174
@article{10_4171_ifb_174,
author = {Jean E. Taylor and John W. Cahn},
title = {Shape accommodation of a rotating embedded crystal via a new variational formulation},
journal = {Interfaces and free boundaries},
pages = {493--512},
year = {2007},
volume = {9},
number = {4},
doi = {10.4171/ifb/174},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/174/}
}
TY - JOUR
AU - Jean E. Taylor
AU - John W. Cahn
TI - Shape accommodation of a rotating embedded crystal via a new variational formulation
JO - Interfaces and free boundaries
PY - 2007
SP - 493
EP - 512
VL - 9
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/174/
DO - 10.4171/ifb/174
ID - 10_4171_ifb_174
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%J Interfaces and free boundaries
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%R 10.4171/ifb/174
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