scholarly journals Effects of surface energy anisotropy on void evolution during irradiation: A phase-field model

2016 ◽  
Vol 479 ◽  
pp. 316-322 ◽  
Author(s):  
W.B. Liu ◽  
N. Wang ◽  
Y.Z. Ji ◽  
P.C. Song ◽  
C. Zhang ◽  
...  
Keyword(s):  
Surface Energy ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Void Evolution ◽  
Surface Energy Anisotropy ◽  
Energy Anisotropy

scholarly journals Phase-field theory of edges in an anisotropic crystal

2006 ◽  
Vol 462 (2075) ◽  
pp. 3363-3384 ◽  
Author(s):  
A.A Wheeler
Keyword(s):  
Phase Field ◽  
Field Model ◽  
Equilibrium Shape ◽  
Phase Field Model ◽  
New Approach ◽  
Anisotropic Crystal ◽  
Strong Surface ◽  
Equilibrium Shapes ◽  
Surface Energy Anisotropy ◽  
Energy Anisotropy

In the presence of sufficiently strong surface energy anisotropy, the equilibrium shape of an isothermal crystal may include corners or edges. Models of edges have, to date, involved the regularization of the corresponding free-boundary problem resulting in equilibrium shapes with smoothed out edges. In this paper, we take a new approach and consider how a phase-field model, which provides a diffuse description of an interface, can be extended to the consideration of edges by an appropriate regularization of the underlying mathematical model. Using the method of matched asymptotic expansions, we develop an approximate solution which corresponds to a smoothed out edge from which we are able to determine the associated edge energy.

scholarly journals Concepts of modeling surface energy anisotropy in phase-field approaches

2017 ◽  
Vol 5 (1) ◽  
Author(s):  
Oleg Tschukin ◽  
Alexander Silberzahn ◽  
Michael Selzer ◽  
Prince G. K. Amos ◽  
Daniel Schneider ◽  
...  
Keyword(s):  
Surface Energy ◽  
Phase Field ◽  
Surface Energy Anisotropy ◽  
Energy Anisotropy ◽  
Field Approaches

Interfacial Energy Anisotropy Affecting Dendrite Growth of Magnesium Alloy

2015 ◽  
Vol 1088 ◽  
pp. 238-241
Author(s):  
Xun Feng Yuan ◽  
Yan Yang
Keyword(s):  
Magnesium Alloy ◽  
Numerical Simulations ◽  
Phase Field ◽  
Interfacial Energy ◽  
Field Model ◽  
Phase Field Model ◽  
Dendrite Growth ◽  
Secondary Branch ◽  
Energy Anisotropy ◽  
Interfacial Energy Anisotropy

Numerical simulations based on a new regularized phase field model were presented, simulating the solidification of magnesium alloy. The effects of weak and strong interfacial energy anisotropy on the dendrite growth are studied. The results indicate that with weak interfacial energy anisotropy, the entire dendrite displays six-fold symmetry and no secondary branch appeared. Under strong interfacial energy anisotropy conditions, corners form on both the main stem and the tips of the side branches of the dendrites, the entire facet dendrite displays six-fold symmetry. As the solidification time increases, the tip temperature and velocity of the dendrite and facet dendrite finally tend to stable values. The stable velocity of the facet dendrite is 0.4 at ε6 is 0.05 and this velocity is twice that observed (0.2) at ε6 is 0.005.

Phase field model for strong interfacial energy anisotropy of HCP materials

2014 ◽  
Vol 24 (9) ◽  
pp. 2911-2919 ◽  
Author(s):  
Xun-feng YUAN ◽  
Bao-ying LIU ◽  
Chun LI ◽  
Chun-sheng ZHOU ◽  
Yu-tian DING
Keyword(s):  
Phase Field ◽  
Interfacial Energy ◽  
Field Model ◽  
Phase Field Model ◽  
Hcp Materials ◽  
Energy Anisotropy ◽  
Interfacial Energy Anisotropy
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