博碩士論文 100322017 詳細資訊




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姓名 周佳俞(JIA-YU, JHOU)  查詢紙本館藏   畢業系所 土木工程學系
論文名稱 彈性材料橢圓型微孔開孔準則之近似解計算
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摘要(中) 含圓球微孔之不可壓縮材料受三軸拉力的力學問題,過去三十年,相關的研究不少,特別是John Ball在1982年發表的文章,另Hou和Abeyaratne在1992年發表的文章,由於問題不再具有圓對稱性,其求解析解之挑戰度極大, Hou和Abeyaratne提出近似解尊稱為Hou-Abeyaratne Field(簡稱HAF)。
本文推導出目前較少被推廣的橢球微孔之不對稱變形,利用HAF導入本文方法重新推導,再利用虛功原理推導出對應矩陣式,並繪出所得不同橢球微孔之破壞包絡線,並分析及探討其結果。
摘要(英) In last three decades, there are so many realated researchs about the mechanics problem of the incompressible material containing microporosity subjected to triaxial loading.Especially, the research published by John Ball in 1982 and the research published by Hou and Abeyaratne in 1992.It become a great challenge to obtain the analytical solution due to the problem possess no longer circular symmetry.
Hou and Abeyaratne propose that the approximate solution is called Hou-Abeyaratne Field.
The theme derivate the asymmetrical deformation of the ellipsoidal micro-void by importing the HAF, and use the principle of virtual work to derivate the corresponding matrix and draw the failure envelope of different ellipsoidal micro-void, and discuss the result.
關鍵字(中) ★ 橢圓型微孔開孔準則
★ 彈性材料
★ 近似解計算
關鍵字(英)
論文目次 摘要 I
目錄 III
表目錄 IV
圖目錄 V
第一章 導論 1
第二章 非線性彈性力學基礎理論 3
第三章 圓形微孔變形問題 7
第四章 橢圓形微孔變形場 25
第五章 橢圓形微孔之擴張 29
第六章 橢圓微孔擴張之程式分析 40
第七章 結論 62
參考文獻 64
附錄一 66
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[21]J. Li, D. Mayau and F. Song, A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading. Int. J. Solids Struct., 44(2007)6080-6100.
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指導教授 李顯智 審核日期 2017-1-23
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