臺灣博碩士論文加值系統

本文主要目的在於分析複合材料的等效磁致伸縮係數(effective magnetostriction)。論文中利用複合材料理論中的各種微觀力學模式如Reuss模式、Voigt模式、dilute模式、Mori-Tanaka模式與自洽模式(self-consistent method)等求出三維多晶體、顆粒加強複合材料、二維多晶體與纖維加強複合材料的等效彈性模數與等效磁致伸縮係數。

this artical show some models of composites materials
and their magnetostriction. We use Reuss, Voigt, dilute, Mori-Tanaka and self-consistent methods to solve effective magnetostriction of three dimensional polycrystals, particle-reinforced composite materials
,two dimensional polycrystals and fibrous-reinforced
composite materials.

摘要 Ⅰ
誌謝 Ⅱ
目錄 Ⅲ
表目錄 Ⅵ
圖目錄 Ⅷ
符號表 XI
第一章序論 1
1.1 理論背景 1
1.2 文獻回顧 1
1.3 論文內容簡介 3
第二章磁致伸縮材料介紹 5
2.1 磁性來源 5
2.2 磁致伸縮物性介紹 8
2.2.1 磁致伸縮現象 8
2.2.2 單晶立方體磁致伸縮材料 8
2.2.3 等向性磁致伸縮材料 10
2.2.4 多晶體磁致伸縮 10
2.3 尤拉角介紹 11
2.4 各種平均分佈的意義 13
第三章顆粒加強複合材料的等效磁致伸縮係數 17
3.1 Reuss模式多晶體的磁致伸縮值 17
3.2 Voigt模式多晶體的磁致伸縮值 21
3.3 Dilute模式的磁致伸縮值 23
3.4 Mori-Tanaka模式的磁致伸縮值 28
3.5 自洽模式的磁致伸縮值 32
3.6 等向性材料精確解 35
第四章纖維加強複合材料的等效磁致伸縮係數 47
4.1 等效彈性模數與等效磁致伸縮係數關聯 47
4.2 Reuss模式 50
4.2.1 Reuss模式二維多晶體的磁致伸縮值 50
4.2.2 Reuss模式纖維加強複合材料的磁致伸縮值 57
4.3 Voigt模式 58
4.3.1 Voigt模式二維多晶體的磁致伸縮值 58
4.3.2 Voigt模式纖維加強複合材料的磁致伸縮值 60
4.4 Dilute模式的磁致伸縮值 61
4.5 Mori-Tanaka模式的磁致伸縮值 62
4.6 自洽模式的磁致伸縮值 63
第五章結果與討論 74
5.1 結果與討論 74
5.1.1 單晶立方對稱磁致伸縮值 74
5.1.2 多晶立方對稱磁致伸縮值 74
5.1.3 顆粒加強複合材料 75
5.1.4 纖維加強複合材料 76
5.2 結論 80
參考文獻 82
附錄A 85
附錄B 88
附錄C 90
附錄D 95
附錄E 97
附錄F 102

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