scholarly journals Phase field disconnections: A continuum method for disconnection-mediated grain boundary motion

2020 ◽  
Vol 186 ◽  
pp. 6-10
Author(s):  
Brandon Runnels ◽  
Vinamra Agrawal
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Boundary Motion ◽  
Grain Boundary Motion

An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion

2001 ◽  
Vol 131 (6) ◽  
pp. 1323-1344 ◽  
Author(s):  
Klaus Deckelnick ◽  
Charles M. Elliott
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Uniqueness Result ◽  
Degenerate Diffusion ◽  
Boundary Motion ◽  
Regularization Technique ◽  
Additional Regularity ◽  
Grain Boundary Motion

We consider a phase-field model for diffusion-induced grain boundary motion. The model couples a parabolic variational inequality to a degenerate diffusion equation. Using a regularization technique, we prove an existence theorem for the resulting system. We also obtain a uniqueness result, provided the solution has some additional regularity.

A phase-field model for diffusion-induced grain-boundary motion

1997 ◽  
Vol 45 (10) ◽  
pp. 4397-4413 ◽  
Author(s):  
J.W. Cahn ◽  
P. Fife ◽  
O. Penrose
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Boundary Motion ◽  
Grain Boundary Motion

scholarly journals A phase-field model of grain boundary motion

2008 ◽  
Vol 53 (5) ◽  
pp. 433-454 ◽  
Author(s):  
Akio Ito ◽  
Nobuyuki Kenmochi ◽  
Noriaki Yamazaki
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Boundary Motion ◽  
Grain Boundary Motion
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