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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/82888完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳志鴻(Chih-Hung Chen) | |
| dc.contributor.author | Chun-Hsien Su | en |
| dc.contributor.author | 蘇峻賢 | zh_TW |
| dc.date.accessioned | 2022-11-25T08:01:49Z | - |
| dc.date.copyright | 2021-11-06 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-08-13 | |
| dc.identifier.citation | Alan Arnold Griffith. Vi. the phenomena of rupture and flow in solids. Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, 221(582593):163–198, 1921. Mokhtar Adda-Bedia, Rodrigo Arias, Martine Ben Amar, and Fernando Lund. Dynamic instability of brittle fracture. Physical review letters, 82(11):2314, 1999. Jeremy Bleyer and Jean-François Molinari. Microbranching instability in phase-field modelling of dynamic brittle fracture. Applied Physics Letters, 110(15):151903, 2017. Jay Fineberg and M Marder. Instability in dynamic fracture. Physics Reports, 313(1-2):1–108, 1999. Eran Sharon and Jay Fineberg. Universal features of the microbranching instability in dynamic fracture. Philosophical Magazine B, 78(2):243–251, 1998. Ariel Livne, Eran Bouchbinder, and Jay Fineberg. Breakdown of linear elastic fracture mechanics near the tip of a rapid crack. 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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/82888 | - |
| dc.description.abstract | "裂紋在生活中隨處可見，與人類文明的相聯性已非常久遠，裂紋的生成與傳播屬於工程上常見的問題，裂紋與材料科學的關係更是密不可分，任何新興材料的開發皆需考量其在負載作用下，經過變形、裂紋生成與傳播，最後破壞；儘管科技日新月異，所有材料皆仍有其壽命，即使在一般正常使用下亦會隨時間增長而不堪使用，透過研究裂紋如何生長有助於開發出性能更優異、更耐用的材料且能延長其使用壽命,因此我們認為裂紋具有高度的研究價值。 在種類繁多的材料中，脆性材料以具有高強度機械性質的優勢被廣泛使用，為深入瞭解在脆性材料之中的快速動態裂紋傳播，近年來出現許多實驗與理論試圖釐清裂紋在脆性材料中的生長機制，藉著前人的研究成果可以得知裂紋在高速傳播時前緣曲率受破裂不穩定性影響而無法保持平滑，並會伴隨速度的強烈震盪與微分歧現象(microbranch)的產生，使得經由裂紋生成的破裂平面具有特別的樣貌；本研究的重點著重於建立一個數學模型來分析裂紋的動態傳播，在彈性力學理論的基礎之下透過使用相場法分析，並同時運用有限差分法建立數值模型。系統以單一脆性材料為主，例如:壓克力(PMMA)、玻璃及脆性凝膠等，並透過在初始位置提供一微小種子裂紋，再施以單一方向的拉伸負載使得裂紋開始生長傳播，以模擬破壞理論中的開口式破裂模式（opening mode），並透過結果再進行各種材料參數（例如：Poisson's ratio、系統大小等等）對裂紋生長之影響進行分析。" | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-25T08:01:49Z (GMT). No. of bitstreams: 1 U0001-0308202116085300.pdf: 6970092 bytes, checksum: 87715be8e56709059be3daf0f331850a (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | Acknowledgements 1 摘要 2 Abstract 4 Contents 6 List of Figures 8 List of Tables 14 Chapter 1 緒論 1 1.1 研究介紹 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 微分歧現象 (microbranch) 與分歧線 (branchline) . . . . . . . . . . 2 1.3 文獻回顧 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 線彈性破壞力學 linear elastic fracture mechanics . . . . . . . . . . 9 Chapter 2 模擬系統與研究方法 15 2.1 模擬系統設定 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2 彈性力學方程 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.3 相場法 phase-field method . . . . . . . . . . . . . . . . . . . . . . . 18 2.4 數學模型 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.5 ec閥值與裂紋生長之關係 . . . . . . . . . . . . . . . . . . . . . . 22 2.6 模擬方法 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.7 運動方程式與應變能密度estrain離散化 . . . . . . . . . . . . . . . 26 Chapter 3 結果與討論 33 3.1 破裂過程區域 fracture process zone . . . . . . . . . . . . . . . . . . 34 3.2 裂紋不穩定性與裂紋速度之關係 . . . . . . . . . . . . . . . . . . 37 3.3 裂紋生長與ec閥值分布圖 . . . . . . . . . . . . . . . . . . . . . . 41 3.4 裂紋生長與應變能密度 . . . . . . . . . . . . . . . . . . . . . . . . 43 3.5 微分歧現象與裂紋速度增韌機制 (velocity-toughening mechanism) 44 3.6 微分歧現象與能量消散速率 D . . . . . . . . . . . . . . . . . . . . 49 Chapter 4 結論 52 References 54 | |
| dc.language.iso | zh-TW | |
| dc.title | 利用相場法探討動態裂紋微分歧不穩定現象 | zh_TW |
| dc.title | Phase-field study of microbranching instability in dynamic cracks | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 包淳偉(Hsin-Tsai Liu),詹楊皓(Chih-Yang Tseng),周佳靚 | |
| dc.subject.keyword | 微分歧不穩定性,相場法,破裂平面粗糙度,破裂能量,開口式破裂模式, | zh_TW |
| dc.subject.keyword | microbranch instability,phase-field method,fracture surface roughness,fracture energy,mode-I fracture, | en |
| dc.relation.page | 58 | |
| dc.identifier.doi | 10.6342/NTU202102052 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2021-08-15 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| dc.date.embargo-lift | 2024-09-01 | - |
| 顯示於系所單位： | 應用力學研究所 | |
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