๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quantitative phase-field modeling for two-phase solidification process involving diffusion in the solid

โœ Scribed by Munekazu Ohno; Kiyotaka Matsuura

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
816 KB
Volume
58
Category
Article
ISSN
1359-6454

No coin nor oath required. For personal study only.

โœฆ Synopsis

A quantitative phase-field model for two-phase solidification processes is developed based on the anti-trapping current approach with the free energy functional formulated to suppress the formation of an extra phase at the interface. This model appropriately recovers the free boundary problem for the motion of interface in the thin-interface limit and, importantly, it is applicable to the solidification process in binary alloy systems with arbitrary values of the solid diffusivities and interfacial energies. The performance of the present model is investigated for the peritectic reaction process in carbon steel. The present model exhibits excellent convergence behavior with respect to the interface thickness.

๐Ÿ“œ SIMILAR VOLUMES

Solidification and Crystallization (HERL
Solidification and Crystallization (HERLACH:SOLID & CRYSTAL O-BK) || Modeling the Spatial Phase Separation Process in Hypermonotectic Alloys
โœ Herlach, Dieter M. ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Wiley-VCH Verlag GmbH & Co. KGaA ๐ŸŒ German โš– 278 KB ๐Ÿ‘ 2 views

current Interest In Research Of Solidification Of Melts Is Focused To Understand Crystal Nucleation And Crystal Growth. They Determine The Solidified Product With Its Physical Properties. A Detailed Description Of These Processes Lead To The Development And Validation Of Physical Models, Which May F

Solidification and Crystallization (HERL
Solidification and Crystallization (HERLACH:SOLID & CRYSTAL O-BK) || Phase-Field Modeling of Dendritic Solidification: Verification for the Model Predictions with Latest Experimental Data
โœ Herlach, Dieter M. ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Wiley-VCH Verlag GmbH & Co. KGaA ๐ŸŒ German โš– 132 KB ๐Ÿ‘ 1 views

current Interest In Research Of Solidification Of Melts Is Focused To Understand Crystal Nucleation And Crystal Growth. They Determine The Solidified Product With Its Physical Properties. A Detailed Description Of These Processes Lead To The Development And Validation Of Physical Models, Which May F

An adaptive, fully implicit multigrid ph
An adaptive, fully implicit multigrid phase-field model for the quantitative simulation of non-isothermal binary alloy solidification
โœ J. Rosam; P.K. Jimack; A.M. Mullis ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 551 KB

Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the proble

Existence of solutions to a phase-field
Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy
โœ J. Rappaz; J. F. Scheid ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB ๐Ÿ‘ 2 views

We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max