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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 葉超雄(Chau-Shioung Yeh) | |
| dc.contributor.author | Bei-Sih Kuo | en |
| dc.contributor.author | 郭唄楒 | zh_TW |
| dc.date.accessioned | 2021-06-16T10:22:40Z | - |
| dc.date.issued | 2013 | |
| dc.date.submitted | 2013-08-16 | |
| dc.identifier.citation | [1] Bardzokas, D.I., M.L. Filshtinsky, and L.A. Filshtinsky, “Mathematical Methods in Electro-Magneto-Elasticity,” Springer Berlin Heidelberg New York, 2007.
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/60591 | - |
| dc.description.abstract | 本文探討半無限軟鐵磁性區域表面V型缺口底部裂紋所引致之磁漏現象及其破壞力學分析問題，由於材料構件本身結構會存在一些微小缺陷問題，一般可利用漏磁檢測技術進行現場即時檢測，找出缺陷的尺寸及位置。首先，基於1973年Pao與Yeh所發表之軟鐵磁材料之磁彈耦合線性化理論，本文採用再簡化分析模型(擾動態磁場忽略不計)。其次，透過Schwarz-Christoffel 變換，映射函數將表面V型缺口底部裂紋映射至單位圓內，並用有理函數近似之，並利用解析函數區域內部的值可由邊界上的值來表示的特性，將位移、應力及邊界條件以解析函數來表示之，其中，彈性力學及磁場的複變函數解法是以Muskhelishvili Method為基本理論。雖然所有問題皆可以用冪級數進行求解，但因其收斂太慢，需要取到非常高的項數才能達到所要求之精度，而本文所使用之有理函數近似及疊代法便可取代原本的映射函數，最後求得磁漏場及裂紋尖端應力強度因子之數值結果。 | zh_TW |
| dc.description.abstract | This research deals with the problem of a sharp crack emanating from the root of a V-notch in a semi-infinite soft ferromagnetic solid under the uniform magnetic field at infinity. First, based on the linear theory of magnetoelasticity for soft ferromagnetic materials of Pao and Yeh in 1973. The linear theory has made it possible to obtain analytical results for boundary value problems of magnetoelastic interactions. Moreover, we assume that the strain is so small that its back-coupling can be neglected. Second, a mapping function that maps a V-notch with a crack into a unit circle is obtained by the Schwarz-Christoffel transformation. Also, the complex variable method with the rational mapping function technique is used in the analysis for both magnetic field and mechanical field. Otherwise, Muskhelishvili shows that a closed solution can be obtained if a rational mapping function is used. Stress components and boundary conditions are expressed in terms of two complex stress functions and the magnetic field intensity, it can be obtained by taking Cauchy integrals. The method to form the rational mapping function is briefly discussed in the following. The magnetic flux leakage as well as the singularity of stress intensity in the vicinity of crack tip can also be determined. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T10:22:40Z (GMT). No. of bitstreams: 1 ntu-102-R00543013-1.pdf: 3965944 bytes, checksum: cfed626fd146297f034d8f5850e640a7 (MD5) Previous issue date: 2013 | en |
| dc.description.tableofcontents | 口試委員會審定書 i
謝誌 ii 摘要 iii Abstract iv 目錄 v 圖目錄 vii 表目錄 ix 第一章 緒論 1 1-1 研究動機與背景 1 1-2 文獻回顧 1 1-3 研究架構 4 第一章圖 5 第一章表 7 第二章 磁彈簡介及線性化理論 9 2-1 磁性材料簡介 9 2-2 磁彈耦合理論簡介 11 2-2-1 基本靜磁學 12 2-2-2 磁彈組成律與控制方程式 12 2-2-3 控制方程式及邊界條件的線性化 14 2-2-4 磁彈組成律線性化 17 2-2-5 線性理論總整理 18 2-3 線性理論之再簡化分析模型之一 19 2-3-1 磁場表示式 19 2-3-2 應力場表示式 21 2-3-3 位移場表示式 23 2-3-4 邊界條件表示式 25 2-3-5 磁場與其相對應之彈性場複變解總整理 26 第二章圖 28 第三章 彈性力學及磁場之複變函數解法 31 3-1 複變函數的發展 31 3-2 Kolosoff-Muskhelishvili Method之推導 31 3-3 Kolosoff-Muskhelishvili Method總整理 35 3-4 磁彈邊緣裂紋問題的映射函數解法 35 第三章圖 42 第四章 邊緣裂紋問題之數值分析 45 4-1 水平張應力作用下之表面垂直裂紋 45 4-2 均勻磁場作用下之表面垂直裂紋 49 4-3 均勻磁場作用下之表面V型缺口底部裂紋 54 第四章圖 60 第四章表 67 第五章 結論與未來展望 69 5-1 結論 69 5-2 未來展望 69 附錄A : Schwarz-Christoffel Mapping 71 A-1 Schwarz-Christoffel Mapping簡介 71 A-2 將z平面之多邊形映為 平面之單位圓 72 A-3 表面V型缺口底部裂紋之Schwarz-Christoffel變換 73 A-4 表面V型缺口底部裂紋之數值分析 78 附錄A圖 79 附錄A表 83 附錄B :有理函數近似及疊代法 85 附錄B圖 94 參考文獻 95 | |
| dc.language.iso | zh-TW | |
| dc.subject | 應力強度因子 | zh_TW |
| dc.subject | 磁漏場 | zh_TW |
| dc.subject | V型缺口 | zh_TW |
| dc.subject | 馬克斯威爾應力 | zh_TW |
| dc.subject | 複變函數法 | zh_TW |
| dc.subject | 科西積分 | zh_TW |
| dc.subject | 有理映射函數 | zh_TW |
| dc.subject | Schwarz-Christoffel變換 | zh_TW |
| dc.subject | 疊代法 | zh_TW |
| dc.subject | V-notch | en |
| dc.subject | complex variable method | en |
| dc.subject | Maxwell stress | en |
| dc.subject | stress intensity factors | en |
| dc.subject | iterative method | en |
| dc.subject | Schwarz-Christoffel transformation | en |
| dc.subject | rational mapping function | en |
| dc.subject | magnetic flux leakage | en |
| dc.subject | Cauchy integral | en |
| dc.title | 半無限軟鐵磁性區域表面V型缺口底部裂紋所引致之磁漏現象及其破壞力學分析 | zh_TW |
| dc.title | Magnetic Flux Leakage and Fracture Analysis of a Sharp Crack
Emanating from the Root of a V-Notch in Semi-Infinite Soft Ferromagnetic Region subjected to Uniform Magnetic Field | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 101-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳東陽(Tung-Yang Chen),鄧崇任(Tsung-Jen Teng),廖文義(Wen-I Liao),洪信安(Hsin-An Hung) | |
| dc.subject.keyword | 磁漏場,V型缺口,馬克斯威爾應力,複變函數法,科西積分,有理映射函數,Schwarz-Christoffel變換,疊代法,應力強度因子, | zh_TW |
| dc.subject.keyword | magnetic flux leakage,V-notch,Maxwell stress,complex variable method,Cauchy integral,rational mapping function,Schwarz-Christoffel transformation,iterative method,stress intensity factors, | en |
| dc.relation.page | 99 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2013-08-16 | |
| 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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