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研究生：	李威德 Lee, Wei-te
論文名稱：	邊界條件及超彈性層厚度對黏著接觸問題之影響 Effects of Boundary Conditions and Layer Thickness on the Adhesive Contact of Hyperelastic Solids
指導教授：	林育芸 Lin, Yu-yun
學位類別：	碩士 Master
系所名稱：	工學院 - 土木工程學系 Department of Civil Engineering
論文出版年：	2007
畢業學年度：	95
語文別：	英文
論文頁數：	80
中文關鍵詞：	超彈性、黏著
外文關鍵詞：	JKR, hyperelastic, adhesion
相關次數：	點閱：63 下載：2
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本研究主要探討大變形及材料非線性對JKR理論中Neo-Hookean超彈性層與剛性球體間的黏著接觸問題之影響。超彈性層之黏著接觸的結果是利用大變形JKR理論求得；此理論係建立在能量釋放率的概念，並需已知相關大變形Hertz(非黏著接觸)問題之解。本文共考慮超彈性層的頂端表面與底面之三種邊界條件組合，而相關大變形Hertz問題則是經由有限元素分析求解。最後討論邊界條件及超彈性厚度對黏著接觸問題之影響。

We study in detail the effect of large deformation and material nonlinearity on the JKR (Johnson-Kendall-Roberts) theory of adhesive contact for a spherical rigid indenter in contact with a Neo-Hookean layer. The solution of adhesive contact of hyperelastic layer is obtained by using the large deformation JKR theory, which is based on the concept of energy releases rate and requires the solution of corresponding large deformation Hertz (non-adhesive contact) problem. In this thesis, we consider 3 types of boundary conditions on both top and bottom surfaces of hyperelastic layer. The corresponding LDH problem is solved using finite element analyses. Finally, the effects of the layer thickness and the boundary conditions on the adhesive contact are discussed.

摘要...................................................................................................................................I
Abstract.............................................................................................................................II
Acknowledgement...........................................................................................................III
Table of Contents.............................................................................................................IV
List of Figures..................................................................................................................VI
Chapter 1 Introduction.......................................................................................................1
1.1 Objective.....................................................................................................................1
1.2 Thesis Content.............................................................................................................2
Chapter 2 Theory...............................................................................................................4
2.1 Theoretical Background...............................................................................................4
2.2 JKR Theory..................................................................................................................6
2.3 Large Deformation JKR Theory...................................................................................7
Chapter 3 Finite Element Model of the Non-adhesive Contact of Hyperelastic Layers.....12
3.1 Problem Description...................................................................................................12
3.2 Material Behavior.......................................................................................................12
3.3 Normalization.............................................................................................................13
3.4 Finite Element Model..................................................................................................14
Chapter 4 Results of the Frictionless-Top and Fixed-Bottom Hyperelastic Layers............18
4.1 Finite Element Results of Non-adhesive Contact........................................................18
4.2 Results of Adhesive Contact.......................................................................................21
Chapter 5 Results of the Rough-Top and Fixed-Bottom Hyperelastic Layers...................38
5.1 Finite Element Results of Non-adhesive Contact........................................................38
5.2 Results of Adhesive Contact.......................................................................................40
Chapter 6 Results of the Rough-Top and Roller-Bottom Hyperelastic Layers..................57
6.1 Finite Element Results of Non-adhesive Contact........................................................57
6.2 Results of Adhesive Contact......................................................................................59
Chapter 7 Discussion and Conclusion.............................................................................75
7.1 Discussion.................................................................................................................75
7.2 Conclusion................................................................................................................76
Reference........................................................................................................................79
自述................................................................................................................................80
                                    

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[11] 陳信揚，“非線性彈性體之黏著接觸力學分析”，國立成功大學土木工程學系，碩士論文，(2005)。
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校內：2009-08-07公開
校外：2009-08-07公開

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