Motion by curvature in generalized Cahn-Allen models

1994 ◽  
Vol 77 (1-2) ◽  
pp. 173-181 ◽  
Author(s):  
Paul C. Fife ◽  
Andrew A. Lacey
Keyword(s):  
Motion By Curvature

scholarly journals Motion by curvature of planar networks

2009 ◽  
pp. 235-324
Author(s):  
Carlo Mantegazza ◽  
Matteo Novaga ◽  
Vincenzo Maria Tortorelli
Keyword(s):  
Motion By Curvature ◽  
Planar Networks

scholarly journals Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

2002 ◽  
Vol 13 (1) ◽  
pp. 25-52 ◽  
Author(s):  
PAUL C. FIFE ◽  
XIAO-PING WANG
Keyword(s):  
Free Boundary ◽  
Grain Boundary ◽  
Extended Model ◽  
Forced Motion ◽  
Chemically Induced ◽  
Thin Film Model ◽  
Motion By Curvature ◽  
Boundary Model ◽  
Grain Boundary Motion ◽  
Boundary Dynamics

The free boundary model of diffusion-induced grain boundary motion derived in Cahn et al. [3], Fife et al. [6] and Cahn & Penrose [4] is extended, in the case of thin metallic films, to account for bidirectional motion, together with the appearance of S-shapes and double seam configurations. These are often observed in the laboratory. Computer simulations based on the extended model are given to illustrate these and other features of bidirectional motion. More generally, the extension accounts for the motion of grain boundaries whose traces on the film's surface are curved. The new free boundary model is one of forced motion by curvature, the forcing term possibly changing sign due to the bidirectionality. The thin film model is derived systematically under explicit assumptions, and an adjustment for grooving is included.

Motion by curvature by scaling nonlocal evolution equations

1993 ◽  
Vol 73 (3-4) ◽  
pp. 543-570 ◽  
Author(s):  
A. De Masi ◽  
E. Orlandi ◽  
E. Presutti ◽  
L. Triolo
Keyword(s):  
Evolution Equations ◽  
Motion By Curvature ◽  
Nonlocal Evolution Equations

Topological transformation of grains in three-dimensional normal grain growth

2001 ◽  
Vol 16 (7) ◽  
pp. 2136-2142 ◽  
Author(s):  
F. Wakai ◽  
Y. Shinoda ◽  
S. Ishihara ◽  
A. Domínguez-Rodríguez
Keyword(s):  
Distribution Function ◽  
Grain Growth ◽  
Three Dimensional ◽  
Boundary Motion ◽  
Surface Evolver ◽  
Topological Transformation ◽  
Motion By Curvature ◽  
The Difference ◽  
Number Of Faces

The topological transformation of grains in three-dimensional normal grain growth was analyzed by Brakke's Surface Evolver method that simulated the boundary motion by curvature. The statistics on elemental processes, which change the number of faces f of a grain, were determined from the simulation. The distribution function of the number of faces P( f ) in a steady structure could be predicted from the difference in the current of grains arriving at and leaving from state f. For the disappearance of one grain, face-creation switching occurred 3.7 times and face-elimination switching occurred 13.2 times on the average.

scholarly journals Motion by curvature of networks with two triple junctions

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Carlo Mantegazza ◽  
Matteo Novaga ◽  
Alessandra Pluda
Keyword(s):  
Triple Junctions ◽  
Long Time Existence ◽  
Embedded Network ◽  
Motion By Curvature ◽  
Long Time ◽  
Time Existence

AbstractWe consider the evolution by curvature of a general embedded network with two triple junctions. We classify the possible singularities and we discuss the long time existence of the evolution.

A Regularized Equation for Anisotropic Motion-by-Curvature

1992 ◽  
Vol 52 (4) ◽  
pp. 1111-1119 ◽  
Author(s):  
Antonio Di Carlo ◽  
Morton E. Gurtin ◽  
Paolo Podio-Guidugli
Keyword(s):  
Anisotropic Motion ◽  
Motion By Curvature

Motion by curvature and impurity drag: resolution of a mobility paradox

2000 ◽  
Vol 48 (13) ◽  
pp. 3425-3440 ◽  
Author(s):  
J.W. Cahn ◽  
A. Novick-Cohen
Keyword(s):  
Motion By Curvature ◽  
Impurity Drag
Sign in / Sign up

Export Citation Format

Share Document