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研究生： 陳郁翔
Chen, Yu-Hsiang
論文名稱： Flat-ended indentation creep of viscoelastic thin film on elastic substrate
探針在黏彈性薄膜上的潛變理論
指導教授： 李三保
Lee, Sanboh
口試委員: 楊聰仁
薛承輝
李三保
洪健龍
學位類別： 碩士
Master
系所名稱： 工學院 - 材料科學工程學系
Materials Science and Engineering
論文出版年： 2011
畢業學年度： 99
語文別： 英文
論文頁數： 169
中文關鍵詞： 壓痕探針 、潛變 、黏彈性
外文關鍵詞： indentation, creep, viscoelastic
相關次數： 點閱：3  下載：0 
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    • We study the indentation problems of film-substrate composites. Axisymmetric indentation problem involving elastic film-substrate composites considered by Yu, et al. [1] is revisited. The results are extended to viscoelastic thin film on elastic substrate with flat-ended indenter. Instead of using surface displacement as one of the boundary conditions, the stress distribution is relative to that for a homogeneous half-space. First, the displacement and stress components are considered based on Navier's equation and Hankel transform. We solved linear algebraic equation with two different boundary conditions, perfectly bonded and freely sliding. Secondly, viscoelastic models are introduced, and elastic solutions are replased by two viscoelastic models, standard linear solid model and Burgers model, which come from inverse of Laplace transform. Finally, we find displacement and stress with different positions, thickness and material constants.
    The method is simpler and easier to use and also describe the load-penetration relationship. Compared with the previous method, our solutions match the elastic solutions at t = 0. We can change boundary condition using the same equations. Moreover, the method will be extended to n-layer thin films rested on substrate straightforwardly. For fitting experimental data, it will be a new and convenient solution to understand unknown material constants.

    Acknowledgment Abstract Contents Figure Captions Chapter 1 Introduction Chapter 2 Theory 2.1 Stress and displacement 2.2 Boundary conditions 2.3 Indenter 2.4 Viscoelastic model Chapter 3 Results and discussion 3.1 Compare with elastic solution and boundary conditions 3.2 Effect with different parameters 3.3 Other applications 3.4 Uniform normal displacement Chapter 4 Conclusions References Appendix: Abstract Figure Captions Chapter 1 Introduction Chapter 2 Evaporation and condensation model Chapter 3 Experiment Chapter 4 Results and discussion Summary Acknowledgment References Table 1 & Table 2

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