The Finite Element Method Analysis of Steady State Cellular Growth
| Autor: | Rui-Fang Wu, 吳瑞芳 |
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| Rok vydání: | 2004 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 92 In a process of solidification, the variations of the temperature and concentration fields will directly affect the microstructures of materials, which have very close relations with the qualities of materials. In this paper, a mathematical model is built to study the cellular growth. Firstly, the Scheil equation with forward diffusion is used to calculate the initial cellular shape. Secondly, a complete model is set up, including the temperature and concentration fields and the effects of capillarity and atomic attachment. The numerical method is the finite element method and the skyline storage mode and the LU decomposition method are used to solve the matrix equations. In the proposed model, the shape of the solid/liquid interface of cellular growth is not known a priori, rather it is calculated as part of solution to the field problem. The direct iteration method is utilized to compute the self-consistent cellular shape. In this paper, the effects of different control parameters, which are growth rate, temperature gradient and the initial concentration, are investigated. It is hoped that the results of this study can be referred to for the further study. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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