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研究生:盧宥融
研究生(外文):Yu-JungLu
論文名稱:填角銲趾半橢圓形裂縫應力強度因子之三維有限元素分析
論文名稱(外文):The Three-Dimensional Finite-Element Analyses for Stress Intensity Factors of Semi-Elliptical Cracks at Fillet Weld Toes
指導教授:鍾興陽
指導教授(外文):Hsin-Yang Chung
學位類別:碩士
校院名稱:國立成功大學
系所名稱:土木工程學系碩博士班
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:187
中文關鍵詞:十字接頭T型接頭銲趾裂縫半橢圓形裂縫應力強度因子最小二乘法三維有限元素分析
外文關鍵詞:Cruciform JointT-Shaped JointSemi-Elliptical CrackWeld Toe CrackStress Intensity FactorLeast-Squares MethodThree-Dimensional Finite-Element Analysis
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  • 被引用被引用:1
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本論文主要利用三維有限元素法程式來計算與分析兩種接頭之填角銲銲趾半橢圓形裂縫的應力強度因子,所研究的第一種接頭為鋼板與鋼板填角銲接的十字接頭,第二種接頭為模擬箱型鋼管與鋼板全周填角銲接的T型接頭,本論文將建立兩種接頭的三維有限元素模型,並在填角銲銲趾處模擬半橢圓形裂縫,再藉由不同重要幾何參數的變化,來探討這些重要幾何參數對銲趾半橢圓形裂縫應力強度因子的影響,本論文除了透過三維有限元素程式計算裂縫應力強度因子外,亦將利用三維有限元素模型所模擬半橢圓形裂縫最深處的裂縫張開位移,配合最小二乘法計算出其應力強度因子。模擬結果顯示:兩種接頭都以張裂模式影響最大,而半橢圓形裂縫的裂縫前線,由表面尖端點至最深點,其應力強度因子KI隨著裂縫深度增加而遞減,裂縫表面尖端點應力強度因子K都大於裂縫最深點應力強度因子K,T型接頭之附板受拉力且裂縫只在主板時,所受之應力強度因子較裂縫只在附板時為大,而T型接頭之附板受相同量值的剪力且裂縫只在附板時,所受之應力強度因子較裂縫只在主板時為大。
This thesis mainly employed a three-dimensional finite-element program to compute and analyze the stress intensity factors (SIFs) of semi-elliptical cracks at fillet weld toes in two types of joints. The first type of joint was the cruciform joint which was used to connect steel plates by fillet welds. The second type of joint was the T-shaped joint which was created to simulate the joint connecting a steel box-column and a steel plate by all-around fillet weld. A semi-elliptical crack was simulated in the fillet weld toe of each joint. This thesis developed three-dimensional finite-element models for two types joints, and, in each type of joint, a number of finite-element joint models were created by varying the key geometric parameters to investigate the influences of the key geometric parameters to the SIFs of semi-elliptical cracks at fillet weld toes. In addition to acquiring the SIFs directly from the three-dimensional finite-element program, this thesis also utilized the crack opening displacements (CODs) of the deepest point in the semi-elliptical crack that were simulated from the three-dimensional finite-element program, and then computed the SIFs of the deepest point by least-squares method. The simulation results showed that semi-elliptical cracks in the two types of joints were affected by tensile/opening mode (mode I) significantly. The SIFs at crack front decreased from the surface point to the deepest point. The SIFs of crack front at surface point were all greater than those at the deepest point. When the attachment plate of the T-shaped joint was applied with the tensile force, the weld toe semi-elliptical crack occurred only in the main plate yielded greater SIFs than the weld toe semi-elliptical crack occurred only in the attachment plate. When the attachment plate of the T-shaped joint was applied with the shear force of the same magnitude, the weld toe semi-elliptical crack occurred only in the attachment plate yielded greater SIFs than the weld toe semi-elliptical crack occurred only in the main plate.
摘要 I
Abstract III
誌謝 V
目錄 VII
表目錄 XI
圖目錄 XV
符號表 XXI
第一章 緒論 1
1.1研究背景與動機 1
1.2 研究目的 2
1.3 研究方法 3
1.4 研究範圍 4
1.5 論文架構 5
第二章 文獻回顧 13
2.1 前言 13
2.2 填角銲趾裂縫相關文獻 13
2.3 數值模擬相關文獻 15
2.3.1 J積分相關文獻 15
2.3.2 最小二乘法相關文獻 16
第三章 數值模擬分析相關理論 17
3.1 前言 17
3.2 三維有限元素軟體分析相關理論 17
3.2.1 奇異元素 17
3.2.2 三維三角形元素 20
3.2.3 J積分理論 21
3.2.4 應力強度因子K 22
3.3 最小二乘法相關理論 25
第四章 數值模擬設定分析 37
4.1 前言 37
4.2 半橢圓形裂縫問題之相關文獻驗證 37
4.3 模擬模型幾何尺寸規劃 38
4.3.1 十字接頭幾何尺寸與幾何參數規劃 39
4.3.2 T型接頭幾何尺寸與幾何參數規劃 40
4-4 模擬分析模型材料設定與基本假設 42
4.5 ABAQUS有限元素軟體模擬分析設定 43
4.5.1 基本模型建立與分析步驟設定 43
4.5.2 應力與邊界條件設定 44
4.5.3 使用元素與網格設定 45
4.5.4 分析後處理 47
第五章 數值模擬分析結果 89
5.1 前言 89
5.2 十字接頭數值模擬分析結果 89
5.2.1 十字接頭在相同主板厚參數下模擬結果 90
5.2.2 十字接頭在不同主板厚參數之影響 91
5.3 T型接頭數值模擬分析結果 92
5.3.1 附板受拉力且裂縫在主板不同裂縫形狀之影響 93
5.3.2 附板受拉力且裂縫在附板不同裂縫形狀之影響 94
5.3.3 附板受剪力且裂縫在主板不同裂縫形狀之影響 96
5.3.4 附板受剪力且裂縫在附板不同裂縫形狀之影響 97
5.3.5 附板受拉力且裂縫在主板不同主板厚度之影響 98
5.3.6 附板受拉力且裂縫在附板於不同主板厚度之影響 99
5.3.7 附板受剪力且裂縫在主板於不同主板厚度之影響 100
5.3.8 附板受剪力且裂縫在附板於不同主板厚度之影響 101
5.4 最小二乘法分析結果 102
5.4.1 十字接頭最小二乘法分析結果 102
5.4.2 T型接頭最小二乘法分析結果 103
第六章 T型接頭不同幾何參數對MK之影響 161
6.1 T型接頭不同裂縫位置之影響 162
6.2 T型接頭不同作用力之影響 162
第七章 結論與建議 169
參考文獻 173
附錄A 176

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