The Application of Parallel Computation and Fast Algorithm th The Study of Martensitic and Ferromagnetic Materials
Date Issued
2006
Date
2006
Author(s)
Chen, Hung-Chih
DOI
zh-TW
Abstract
The goal of the present thesis has two folds. First, we develop an algorithm to simulate microstructure in shape-memory alloys with parallel computation. Second, we develop a fast algorithm (FFT) to compute magnetoelastic stress in ferromagnetic materials.
For shape-memory alloys, a new MPI numerical structure is implemented in the code which was developed based on the novel phase-field method. The material in the present consideration has two variants. The results provide not only an accurate distribution of martensitic variants, but also show a significant reduction in time needed for simulation.
For ferromagnetic materials, a fast algorithm is developed to compute the stress-induced magnetic field in a finite body. It is based on the Fast Fourier Transform and 9-point Gaussian integration. The material in the present consideration has large magnetostriction. The results provide not only an accurate distribution of magnetic domains, but also show a significant increase in simulation scales.
Subjects
平行演算法
快速傅立葉轉換
微結構
Parallel Programming
Fast Fourier Transform in West
Microstructure
Type
thesis
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