進階搜尋


   電子論文尚未授權公開,紙本請查館藏目錄
(※如查詢不到或館藏狀況顯示「閉架不公開」,表示該本論文不在書庫,無法取用。)
系統識別號 U0026-1607202020574800
論文名稱(中文) 連通型泡沫材料彈塑性行為之研究
論文名稱(英文) Analyses on the Elasto-Plastic Behavior of Open-cell Foams
校院名稱 成功大學
系所名稱(中) 土木工程學系
系所名稱(英) Department of Civil Engineering
學年度 108
學期 2
出版年 109
研究生(中文) 林孟言
研究生(英文) Meng-Yen Lin
學號 N66074467
學位類別 碩士
語文別 中文
論文頁數 152頁
口試委員 指導教授-黃忠信
口試委員-王雲哲
口試委員-林育芸
口試委員-侯琮欽
口試委員-張瑞宏
中文關鍵字 連通型泡沫材料  完美塑性  應變硬化  彈塑性變形  初始降伏  完全塑性  有限元素數值分析  共軛梁法 
英文關鍵字 perfectly-plastic  strain-hardening  conjugated beam method  finite element numerical analysis  open-cell foam 
學科別分類
中文摘要 連通型泡沫材料,乃微觀構件間無薄膜之多孔輕質材料,其彈塑性變形機制主要受撓曲變形所影響。因此,本研究藉由不同邊界束制條件之細長梁,模擬泡沫材料中微觀構件之受力與撓曲變位行為,進而探討連通型泡沫材料之彈塑性應力應變關係。首先,使用有限元素套裝軟體ABAQUS,進行數值分析,並透過塑性變形理論推導,分別探討完美塑性材料與應變硬化材料所構成之細長梁,其彈塑性變位行為。經數值分析與理論推導後發現,將不同邊界束制條件下之細長梁,其外載集中力及作用處變位量,除以各自對應之初始降伏點,加以正規化處理後,可獲得一致的正規化彈塑性變形關係,此關係可由一理論變位函數加以描述。此外,當集中力作用處與梁中承受最大彎矩位置重疊時,可忽略不同斷面幾何形狀與加載條件所造成之影響,因此,該理論表示式適用於描述,具有不同邊界轉動束制條件微觀構件之彈塑性變位關係,由此微觀構件之理論彈塑性變位函數,經因次分析後,可進一步求得連通型泡沫材料之彈塑性應力應變關係,並與泡沫鋁單軸壓力試驗結果相互比較,以驗證本研究所建立連通型泡沫材料彈塑性行為理論表示式之適用性。
英文摘要 The dominant deformation mechanism of lightweight open-cell foams, which are composed of an interconnected network of solid struts, is the flexural deflection of each slender cell strut. Thus, a slender beam under different boundary conditions can be employed to analyze the elasto-plastic behavior of open-cell foams. In the study, the elasto-plastic deflection of a rectangular cross-section slender beam, made from either a perfectly plastic or a strain-hardening solid and subjected to a concentrated force, is first analyzed numerically by using a finite element software ABAQUS, and then compared to the theoretical results derived from conjugated beam method. Furthermore, the normalized concentrated force and flexural deflection of the slender beam are defined as the values at any instance divided by those at the outset of initial yielding. It is found that the relationship between the normalized concentrated force and flexural deflection can be described well by a simple function, regardless of the boundary condition of the slender beam. Meanwhile, the effects of boundary condition, concentrated force location and cross-sectional shape on the normalized simple function are insignificant when the concentrated force is loaded at the critical section of the beam. As a result, the normalized simple function of the slender beam can be utilized to analyze the elastic-plastic stress-strain relationship of open-cell foams. Finally, the theoretical elasto-plastic behavior derived here is compared with the experimental results of uniaxial compression test for aluminum alloy foams to verify its validity and accuracy.
論文目次 摘要 I
Extended Abstract II
誌謝 XII
目錄 XIII
表目錄 XV
圖目錄 XVII
符號定義 XXIII
第一章 緒論 1
1.1 研究動機與目的 1
1.1 研究內容與組織 2
第二章 相關理論與文獻回顧 4
2.1 細胞型材料 4
2.2 泡沫材料之變形機制 5
2.3 泡沫材料之材料性質 6
2.4 細長梁於純彎矩作用下之塑性變形理論 8
第三章 基本梁之數值分析與理論推導 15
3.1 完美塑性材料 15
3.1.1 數值分析模型設定 16
3.1.2 塑性變形理論推導 17
3.1.3 數值分析與理論結果比較 26
3.2 應變硬化材料 28
3.2.1 數值分析模型設定 29
3.2.2 數值分析結果 30
3.2.3 塑性變形理論推導 31
第四章 簡化梁之數值分析與理論推導 50
4.1 完美塑性材料 50
4.1.1 承受負彎矩之簡化梁 50
4.1.1.1 數值分析設定 51
4.1.1.2 塑性變形理論推導 52
4.1.1.3 數值與理論結果比較 52
4.1.2 承受正彎矩之簡化梁 55
4.1.3 承受反對稱彎矩之簡化梁 56
4.1.4 偏移集中載重之簡化梁 58
4.1.5 不同剖面形狀之簡化梁 62
4.1.5.1 矩形斷面梁之數值分析 62
4.1.5.2 圓形斷面梁之數值分析 65
4.2 應變硬化材料 67
4.2.1 數值分析模型設定 68
4.2.2 數值分析結果 68
第五章 連通型泡沫材料 113
5.1 理論推導 113
5.1.1 線彈性階段 113
5.1.2 初始降伏至完全塑性階段 116
5.1.3 塑性崩塌階段 121
5.2 試驗結果與理論推導之比較 122
5.2.1 泡沫鋁單軸壓力試驗 122
5.2.2 以理論推導擬合泡沫鋁單軸壓力試驗結果 125
第六章 結論與建議 147
6.1 結論 147
6.2 建議 149
參考文獻 150

參考文獻 [1] L. J. Gibson and M. F. Ashby, “Cellular Solid: Structure and Properties”, 2nd edition, Cambridge U.K., Cambridge University Press,1997

[2] A. N. Gent and A. G. Thomas, “The Deformation of Foamed Elastic Materials’’, Journal of Applied Polymer Science, Vol.1, No.1,pp.107-113, 1959

[3] A. N. Gent and A. G. Thomas, “Mechanics of Foamed Elastic Materials’’, Rubber Chemistry and Technology, Vol.36 ,pp.597-610, 1963

[4] R. Chan and M. Nakamura, “Mechanical Properties of Plastic Foams”, Journal of Cellular Plastics, Vol.5, pp.112-118, 1969

[5] L. J. Gibson and M. F. Ashby, “The mechanics of three-dimensional cellular materials”, Proceeding of the Royal Society Lond, A382, pp.43-59, 1982

[6] W. E. Warren, A. M. Kraynik, “The Linear Elastic Properties of Open-Cell Foams”, Journal of Applied Mechanics, Vol.55, pp.341-346, 1988

[7] W. E. Warren, A. M. Kraynik, “The Nonlinear Elastic Behavior of Open-cell Foams”, Vol.58, pp.376-381, 1991


[8] H. X. Zhu, J. F. Knott, N.J. Mills, “Analysis of the Elastic Properties of Open-Cell Foams With Tetrakaidecahedral Cells”, Journal of the Mechanics and Physics of Solids, Vol.45, pp.319-469, 1997

[9] A. Mendelson, “Plasticity: theory and application”, Mac-Millan, New York, 1968

[10] S.Kaliszky, “Plastisity: Theory and Engineering Application”, Elsevier Publishing Company, Amsterdam, 1989

[11] J.M. Gere, S. Timoshenko, “Mechanics of Material”, 3rd edition, PWS-KENT Publishing Company, 1990

[12] B. S ̌tok, M. Halilovic ̌, “Analytical Solution in Elasto-Plastic Bending of Beams with Rectangular Cross Section”, Applied Mathematical Modelling, Vol.33, pp1749-1760, 2009

[13] S. Timoshenko, “Strength Of Materials”, 2nd edition,1940

[14] ISO 13314:2011—Mechanical Testing of Metals—Ductility Testing—Compression Test for Porous and Cellular Metals; ISO: Geneva, Switzerland, 2011.

[15] ASM International. Handbook Committee, “Properties and Selection: Nonferrous Alloys and Special-Purpose Materials”, ASM Handbook, Vol.2, ASM International, 1990

[16] S. K. Maiti, L .J. Gibson and M .F. Ashby, “Deformation and energy absorption for cellular solids’’, Acta Metall.Mater, Vol.32, No.11, pp.1963-1975, 1984

[17]邱己豪, “發泡鋁材料之力學性質’’, 國立成功大學土木研究所碩士論文, 2000.

論文全文使用權限
  • 同意授權校內瀏覽/列印電子全文服務,於2021-07-01起公開。
  • 同意授權校外瀏覽/列印電子全文服務,於2021-07-01起公開。


  • 如您有疑問,請聯絡圖書館
    聯絡電話:(06)2757575#65773
    聯絡E-mail:etds@email.ncku.edu.tw