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研究生: 彭琮洋
Peng, Tsung-Yang
論文名稱: 泰勒模型模擬B.C.C.金屬中剪切帶之織構研究
Texture Simulation of Shear Bands in B.C.C. Metals Using Taylor-Based Models
指導教授: 郭瑞昭
Kuo, Jui-Chao
學位類別: 碩士
Master
系所名稱: 工學院 - 材料科學及工程學系
Department of Materials Science and Engineering
論文出版年: 2016
畢業學年度: 104
語文別: 中文
論文頁數: 197
中文關鍵詞: Taylor模型剪切帶軋延織構B.C.C.金屬
外文關鍵詞: Taylor model, Shear band, B.C.C., Deformation texture.
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  • 為了探討B.C.C.金屬中軋延形變以及剪切帶形成過程之織構演化,本研究首先使用完全限制(Full-Constraints)Taylor晶體變形模型,將啟動的滑移系統定為變數,對於多晶的B.C.C.金屬進行模擬,並對照實驗結果中軋延後產生的-fiber及γ-fiber晶粒分佈,得到了以{110}, {112}和{123}三組的滑移平面沿著<111>方向的滑移系統同時啟動的情況下,與實驗最為符合,並進一步分析此條件下各別滑移所貢獻的剪應變,發現在-fiber中,低軋延量(30%)時,以{110}<111>滑移系統主導變形,而在中軋延量時(60%),則由{110}及{123}<111>滑移系統共同主導;而在ϒ-fiber中則由三組滑移系統共同主導變形。

    而在模擬剪切帶中織構方面,結合了Taylor模型以及剪切帶幾何模型,以實驗常見的{111}[112 ̅]作為起始方位,代入啟動的滑移系統、剪切帶類型及形成剪切帶與軋延方向的角度作為變數進行模擬。可以發現在單滑移系統{110}<111>或是{112}<111>啟動的情況下,剪切帶中的織構會沿著±TD作旋轉。但是一旦單滑移系統 ({123}<111>)、雙滑移系統 ({110}<111>和{112}<111>,{110}<111>和{123}<111>,{112}<111>和{123}<111>) 或是三滑移系統({110}<111>、{112}<111>及{123}<111>) 啟動的情況下,剪切帶內的織構會出現了隨機的旋轉。

    Four kinds of strain tensor in shear bands and full-constraint Taylor model were combined to simulate the texture inside shear bands on B.C.C. (111) [112 ̅] single crystals. Orientation inside shear bands rotates along ±TD while only one slip system {110}<111> or {112}<111> is activated. Random texture inside shear bands are observed assuming one slip system ({123}<111>), two slip systems ({110}<111> and {112}<111>, {110}<111> and {123}<111>, {112}<111> and {123}<111>) and three slip systems ({110}<111>, {112}<111> and {123}<111>).

    Also, simulations were done on polycrystalline B.C.C. by full-constraint Taylor model. The complete -fiber are shown under 60% reduction ratio assuming two slip systems ({110} <111> and {112} <111>, {110}<111> and {123} <111>) and three slip system ({110}<111>, {112}<111> and {123}<111>).

    中文摘要 I Extended Abstract III 致謝 XXXII 總目錄 XXXIV 表目錄 XXXVII 圖目錄 XLI 第一章 前言 1 第二章 相關理論與文獻回顧 3 2-1 Schmid’s law 3 2-2 Pencil glide 5 2-3 B.C.C.金屬的軋延織構 8 2-4 B.C.C.金屬中的剪切帶 14 2-5 Taylor 模型 22 2-6 剪切帶理論與模型 36 第三章 模擬流程 44 3-1 多晶B.C.C.金屬平面軋延變形(Plane Strain Compression) 46 3-2 單晶B.C.C.(111)[112 ̅]金屬之剪切帶變形 54 第四章 泰勒模型模擬結果 67 4-1 多晶B.C.C.金屬平面軋延變形(Plane Strain Compression) 67 4-1-1 單滑移系統{110}<111> 67 4-1-2 單滑移系統{112}<111> 71 4-1-3 單滑移系統{123}<111> 75 4-1-4 雙滑移系統{110}<111>與{112}<111> 79 4-1-5 雙滑移系統{110}<111>與{123}<111> 83 4-1-6 雙滑移系統{112}<111>與{123}<111> 87 4-1-7 三滑移系統{110}<111>、{112}<111>與{123}<111> 91 4-2 單晶B.C.C.(111)[112]金屬之剪切帶變形 95 4-2-1 單滑移系統{110}<111> 95 4-2-2 單滑移系統{112}<111> 106 4-2-3 單滑移系統{123}<111> 116 4-2-4 雙滑移系統{110}<111>與{112}<111> 126 4-2-5 雙滑移系統{110}<111>與{123}<111> 136 4-2-6 雙滑移系統{112}<111>與{123}<111> 146 4-2-7 滑移系統{110}<111>、{112}<111>與{123}<111> 156 第五章 討論 166 5-1 泰勒模型模擬B.C.C.金屬平面軋延應變的結果 166 5-2 剪切帶形成之不均勻塑性變形過程 184 第六章 結論 191 參考文獻 193

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