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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 舒貽忠(Yi-Chung Shu) | |
| dc.contributor.author | Hung-Chih Chen | en |
| dc.contributor.author | 陳宏志 | zh_TW |
| dc.date.accessioned | 2021-06-13T02:09:15Z | - |
| dc.date.available | 2011-07-31 | |
| dc.date.copyright | 2007-07-16 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2007-06-27 | |
| dc.identifier.citation | [1] A. G. Khachaturyan.(1983). Theory of Structural Transformations in Solid. Wiley, New York.
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Phase field microelasticalty theory of dislocation dynamics in a polycrystal：model and three – dimensional simulations. Phil. Mag. Letters.,81：607-616. [42] 徐建輝.(2007).新式相場模擬法應用於麻田散鐵微結構之研究.台灣大學應用力學研究所碩士論文. [43] 顏睿亨.(2003).磁性薄膜磁力互動模型分析與數值模擬之研究.台灣大學應用力學研究所碩士論文. [44] 施威銘研究室.(2006).Linux Fedora Core 5 實務應用.旗標出版股份有限公司. [45] 張智星.(2000).MATLAB程式設計與應用.清蔚科技股份有限公司. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30576 | - |
| dc.description.abstract | 本文(1)以開發平行架構從事形狀記憶合金微結構之數值模擬研究；(2)以發展快速傅立葉轉換計算鐵磁材料磁力耦合之數值模擬研究。
在形狀記憶合金中，本文以之前所發展之新式相場法為雛型，再利用MPI將整體改寫為平行版。所考量之問題為具有兩個方向之兄弟晶微結構材料，利用所開發之平行架構進行分析模擬，除得到正確的微結構分佈外，數值模擬效率亦大幅提昇。 在鐵磁材料中，本文以之前所發展之磁力互動模型為基本，再利用快速傅立葉轉換計算有界物體其應力引發之等效磁場，並配合九點高斯積分增加其準確度。所考量之問題為具大磁致伸縮應變之鐵磁薄膜，利用所開發之快速傅立葉轉換進行微磁域分析模擬，除得到正確的微磁域分佈外，所能劃分之網格數亦大幅提昇。 | zh_TW |
| dc.description.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. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T02:09:15Z (GMT). No. of bitstreams: 1 ntu-95-R94543041-1.pdf: 8220437 bytes, checksum: 6fa17bf6cccb24359e1ee98ce1120a35 (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | 摘要 1
Abstract 2 誌謝 3 目錄 4 圖目錄 8 表目錄 13 第１章 導論 14 1-1 研究動機 14 1-2 簡介MPI(Message-Passing Interface)平行計算軟體 17 1-3 簡介FFTW(Fast Fourier Transform in the West) 18 1-4 OOMMF(Object Oriented MicroMagnetic Framework) 19 1-5 文獻回顧 20 1-6 本文架構 22 第２章 理論架構 23 2-1 麻田散鐵材料 23 2-1-1 數學模型 23 2-1-2 能量極小原理 25 2-1-3 演化方程式 28 2-1-4 傅立葉轉換解彈性力學平衡問題 31 2-2 鐵磁材料 36 2-2-1 數學模型 36 2-2-2 能量極小原理 41 2-2-3 演化方程式 45 2-2-4 以邊界積分方程式解磁力耦合問題 47 2-2-5 平均磁致伸縮應變能、外應力勢能與平均應力 52 第３章 數值方法 53 3-1 麻田散鐵材料 53 3-1-1 數值積分法 53 3-1-2 能量的離散形式 55 3-1-3 平行架構 57 3-2 鐵磁材料 61 3-2-1 數值積分法 61 3-2-2 能量的離散形式 64 3-2-3 邊界元素法 71 3-2-4 褶積形式之應力 77 3-2-5 高斯積分法 78 3-2-6 快速傅立葉轉換解有限域褶積應力問題 81 第４章 數值模擬結果—麻田散鐵 83 4-1 麻田散鐵材料 83 4-1-1 單機版與平行版兩種兄弟晶、平均應變為零之模擬 83 4-1-2 單機版與平行版兩種兄弟晶、平均應變不為零之模擬 88 4-1-3 單機版與平行版之計算效率比較 93 4-2 鐵磁材料 95 4-2-1 高斯積分之比較 95 4-2-2 Terfenol-D不同尺寸之分析 104 4-2-3 Terfenol-D不同網格數之分析 107 4-2-4 之材料不同尺寸之分析 109 4-2-5 之材料不同網格數之分析 112 4-2-6 快速演算法之效率提昇 114 第５章 結論與未來展望 116 5-1 結論 116 5-2 未來展望 117 參考文獻 120 附錄A FFTW & FFTW_MPI之使用 126 附錄B 磁力耦合有限域褶積形式展開計算之說明 132 附錄C 邊界元素法之上下標詳細說明 136 附錄D 快速傅立葉轉換應用於有限域與無限域褶積問題 141 | |
| dc.language.iso | zh-TW | |
| dc.subject | 平行演算法 | zh_TW |
| dc.subject | 微結構 | zh_TW |
| dc.subject | 快速傅立葉轉換 | zh_TW |
| dc.subject | Parallel Programming | en |
| dc.subject | Fast Fourier Transform in West | en |
| dc.subject | Microstructure | en |
| dc.title | 平行架構與快速演算法應用於麻田散鐵與磁性材料微結構之研究 | zh_TW |
| dc.title | The Application of Parallel Computation and Fast Algorithm th The Study of Martensitic and Ferromagnetic Materials | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳正宗,陳瑞琳 | |
| dc.subject.keyword | 平行演算法,快速傅立葉轉換,微結構, | zh_TW |
| dc.subject.keyword | Parallel Programming,Fast Fourier Transform in West,Microstructure, | en |
| dc.relation.page | 125 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-06-29 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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