以微分式內涵塑性理論分析材料受軸向循環負載之塑性行為

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李文正(wen-jeng li) 查詢紙本館藏

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機械工程學系

論文名稱

以微分式內涵塑性理論分析材料受軸向循環負載之塑性行為

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摘要(中)

摘要

本文係使用內涵塑性理論對金屬材料於承受軸向循環負載(Loading)、卸載(Unloading)、再加載(Reloading)的作用下，所引起的循環塑性行為加以研究。

為驗證本文所提出的材料函數材料函數(Material function)，我們採用台灣大學蕭雅柏之實驗結果做比較，並與研究內涵塑性理論之學者專家所提出之材料函數之理論結果比較。台灣大學蕭雅柏所實驗材料為2024鋁合金、SAE4340及RHA鋼材，其負載條件包含軸向等振幅循環、軸向非對稱等振幅循環、軸向漸增振幅循環、軸向漸變均值循環及軸向漸增振幅及漸變均值循環等。驗證結果本文所提之材料函數，使得理論有較多的彈性及調整空間，驗證時也使應力-應變圖形較能吻合實驗的結果。就應力-應變的塑性行為，本文模式對於包辛格效應之膝部的吻合、循環硬化(軟化)及塑性行為之應力穩定飽和的描述，具有良好的結果。

摘要(英)

關鍵字(中)

★ 參考內涵時間刻度
★ 內涵時間
★ 內涵時間刻度

關鍵字(英)

★ intrinsic time scale
★ intrinsic time

論文目次

"目錄
頁次
摘要Ⅰ
目錄Ⅱ
圖表說明Ⅳ
符號說明Ⅷ
第一章緒論
1-1前言1
1-2 文獻回顧4
1-3 研究動機和方法7
第二章內涵塑性理論
2-1引言9
2-2內涵組成方程式12
2-3微分式內涵組成方程式13
2-4 材料函數的模式15
2-4-1材料函數的性質 17
2-4-2記憶消除效應(Erasur of Memory) 18
第三章數值計算
3-1 相關方程式20
3-2 數值計算 24
3-3 單軸向應力值計算 25
第四章分析、結果與討論
4-1實驗負載路徑28
4-2數值計算之內涵理論參數值29
4-3結果與討論30
4-3-1軸向等振幅循環30
4-3-2軸向非對稱等振幅循環32
4-3-3軸向漸增振幅循環32
4-3-4軸向漸變均值循環 33
4-3-5軸向漸增振幅及漸變均值循環 34
第五章結論36
參考文獻38
圖表說明
表1 2024鋁合金數值之材料參數43
表2 SAE4340合金鋼之材料參數43
表3 RHA(均質裝甲板)之材料參數44
圖1-1 等向硬化模式45
圖1-2 運動硬化模式45
圖1-3 組合等向運動硬化45
圖2-1 循環應載下材料函數 ((2-5)式)與值之關係曲線46
圖2-2 循環應載下材料函數 ((2-6)式)與值之關係曲線46
圖2-3 循環應載下之值與本文所提材料函數、D值之關係
(a)D>1,C >1, S<1 (b)D>1, C>1, 1(d) D<1,C <1, S>1 (e) D<1, C<1, C圖2-4 記憶消除效應之軸-扭應變路徑圖49
圖2-5 記憶消除效應之軸-扭應力圖49
圖2-6 記憶消除效應之軸向應力-應變圖50
圖2-7 記憶消除效應之扭向應力-應變圖50
圖3-2 程式運算流程圖51
圖4-1 軸向等振幅循環,軸向控制應變歷程52
圖4-2 軸向非對稱等振幅循環,軸向控制應變歷程52
圖4-3 軸向漸增振幅循環,軸向控制應變歷程53
圖4-4 軸向漸變均值循環,軸向控制應變歷程53
圖4-5 軸向漸增振幅及漸變均值循環,軸向控制應變歷程54
圖4-6 鋁2024軸向等振幅循環
(a) 軸向應力與應變關係55
(b) 軸向應力與等效應變關係55
圖4-7 SAE4340軸向等振幅循環
(a) 軸向應力與應變關係56
(b) 軸向應力與等效應變關係56
圖4-8 RHA軸向等振幅循環
(a) 軸向應力與應變關係57
(b) 軸向應力與等效應變關係57
圖4-9 鋁2024軸向非對稱等振幅循環
(a) 軸向應力與應變關係58
(b) 軸向應力與等效應變關係58
圖4-10 SAE4340軸向非對稱等振幅循環
(a) 軸向應力與應變關係59
(b) 軸向應力與等效應變關係59
圖4-11 RHA軸向非對稱等振幅循環
(a) 軸向應力與應變關係60
(b) 軸向應力與等效應變關係60
圖4-12 鋁2024軸向漸增振幅循環
(a) 軸向應力與應變關係 61
(b) 軸向應力與等效應變關係 61
圖4-13 SAE4340軸向漸增振幅循環
(a) 軸向應力與應變關係 62
(b) 軸向應力與等效應變關係 62
圖4-14 RHA軸向漸增振幅循環
(a) 軸向應力與應變關係 63
(b) 軸向應力與等效應變關係 63
圖4-15 鋁2024軸向漸變均值循環
(a) 軸向應力與應變關係 64
(b) 軸向應力與等效應變關係 64
圖4-16 SAE4340軸向漸變均值循環
(a) 軸向應力與應變關係 65
(b) 軸向應力與等效應變關係 65
圖4-17 RHA軸向漸變均值循環
(a) 軸向應力與應變關係 66
(b) 軸向應力與等效應變關係 66
圖4-18 鋁2024軸向漸增振幅及漸變均值循環
(a) 軸向應力與應變關係67
(b) 軸向應力與等效應變關係67
圖4-19 SAE4340軸向漸增振幅及漸變均值循環
(a) 軸向應力與應變關係68
(b) 軸向應力與等效應變關係68
圖4-20 RHA軸向漸增振幅及漸變均值循環
(a) 軸向應力與應變關係69
(b) 軸向應力與等效應變關係69"

參考文獻

參考文獻
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指導教授

葉維磬(Wei-Ching Yeh)

審核日期

2002-7-17

推文