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Numerical simulation of microstructu...

Yun, Myung Sik.

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Numerical simulation of microstructural evolution of inhomogeneous elastic media.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical simulation of microstructural evolution of inhomogeneous elastic media./
Author:	Yun, Myung Sik.
Description:	120 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 3859.
Contained By:	Dissertation Abstracts International64-08B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3101627

Numerical simulation of microstructural evolution of inhomogeneous elastic media.
Yun, Myung Sik.

Numerical simulation of microstructural evolution of inhomogeneous elastic media. - 120 p.

Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 3859.

Thesis (Ph.D.)--University of California, Irvine, 2003.

We develop a new diffuse interface model for studying morphology of precipitate during the evolution of inhomogeneous elastic media (binary alloys) in two and three dimensions. In this model, evolution is occurred by lowering the generalized Cahn-Hilliard free energy. Many researchers have acknowledged that elasticity plays an important role in microstructural evolution of binary alloys. We carefully implemented elasticity to the model and it is solved by preconditioned conjugate gradient method. A pseudo spectral method is used to solve the diffuse interface system. By linear analysis, we show linear stability of the numerical method.Subjects--Topical Terms:

515831
Mathematics.

Numerical simulation of microstructural evolution of inhomogeneous elastic media.
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008 130614s2003 eng d
035 $a (UnM)AAI3101627
035 $a AAI3101627
040 $a UnM $c UnM
100 1 $a Yun, Myung Sik. $3 1945763
245 1 0 $a Numerical simulation of microstructural evolution of inhomogeneous elastic media.
300 $a 120 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-08, Section: B, page: 3859.
500 $a Chair: Qing Nie.
502 $a Thesis (Ph.D.)--University of California, Irvine, 2003.
520 $a We develop a new diffuse interface model for studying morphology of precipitate during the evolution of inhomogeneous elastic media (binary alloys) in two and three dimensions. In this model, evolution is occurred by lowering the generalized Cahn-Hilliard free energy. Many researchers have acknowledged that elasticity plays an important role in microstructural evolution of binary alloys. We carefully implemented elasticity to the model and it is solved by preconditioned conjugate gradient method. A pseudo spectral method is used to solve the diffuse interface system. By linear analysis, we show linear stability of the numerical method.
520 $a Through numerical simulations, we show that the new model captures accurate morphology of precipitate. One particle evolution shows a good agreement with the three-dimensional results of Mueller <italic>et al</italic>. [16][17], and Thompson and Voorhees [38], such as transitions from spheres to convex or concave cuboids. Merging of two particles is studied including the required conditions, and the velocity of merging depending on softness of materials and initial placements. Plate structures are observed for two soft particles placed on <110> directions and four particles placed on the <italic>z</italic> = 0 plane. These studies confirm the importance of elasticity in microstructural evolution of elastically stressed binary alloys.
590 $a School code: 0030.
650 4 $a Mathematics. $3 515831
650 4 $a Engineering, Materials Science. $3 1017759
650 4 $a Engineering, Metallurgy. $3 1023648
690 $a 0405
690 $a 0794
690 $a 0743
710 2 0 $a University of California, Irvine. $3 705821
773 0 $t Dissertation Abstracts International $g 64-08B.
790 1 0 $a Nie, Qing, $e advisor
790 $a 0030
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3101627