國立中央大學-HAF描述圓形微孔非對稱變形的誤差計算

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姓名

邱盟哲(Meng-zhe Qiu) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

國立中央大學-HAF描述圓形微孔非對稱變形的誤差計算

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摘要(中)

本文探討橡膠材料中微小孔洞的擴張情況。我們使用兩種方法，一種是有限元素法(FEM)，一種是Hou-Abeyaratne Field (簡稱HAF)，並比較這兩種方法所計算出的解，以有限元素法所計算出的解為基準，來計算HAF與FEM之間的誤差。

摘要(英)

This paper discusses the void growth in the rubber material. We use two methods, one uses the finite element method (FEM), one uses the Hou-Abeyaratne Field (HAF), and compare the two solution which calculated from FEM and HAF. The differences between these two solutions are calculated.

關鍵字(中)

★ 橡膠材料
★ 孔洞擴張
★ 誤差
★ HAF

關鍵字(英)

★ HAF
★ rubber
★ void growth
★ error

論文目次

摘要 I
Abstract II
致　　　謝 III
目錄 IV
圖目錄 VI
表目錄 X
符號表 XII
第一章導論 1
第二章基礎理論 3
2-1 不可壓縮非線性彈性變形控制方程 3
2-2 材料模型 5
2-2-1 Ogden材料應變能密度函數[23-27] 5
2-2-2 Neo-Hookean材料應變能密度函數 5
第三章含圓孔材料非對稱變形近似解 6
3-1 圓對稱變形精確解 6
3-2 Hou-Abeyaratne Field (HAF) 6
第四章 HAF應用於含微孔Neo-Hookean材料時的誤差 9
第五章 HAF描述含微孔的Ogden材料時的誤差 16
5-1 有限元素模型建立 17
5-2 材料模型的選取 23
5-3 外力的施加 24
5-3-1 圓孔徑為0.01的模型-外力為壓力控制 25
5-3-2 圓孔徑為0.001的模型-外力為壓力控制 31
5-3-3 圓孔徑為0.0001的模型-外力為壓力控制 37
5-3-4 圓孔徑為0.001的模型-外力為位移控制 43
5-3-4-1四面體元素網格 43
5-3-4-2 八面體元素網格 50
5-3-4-3 大比例長短軸比(Neo-Hookean) 56
5-3-5 圓孔徑為0.001的模型-外力為單軸traction控制 61
5-3-6 圓孔徑為0.001的模型微孔面上及遠離微孔的比較 62
第六章計算結果的分析 65
第七章結論 67
參考文獻 68

參考文獻

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指導教授

李顯智(Hin-chi Lei)

審核日期

2013-7-17

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