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研究生：	許庭維 Hsu, Ting-Wei
論文名稱：	多孔性材料黏彈特性與流動相依行為之區別 Discriminating the Viscoelastic Properties from Flow-Dependent Behavior in Porous Material
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：	2014
畢業學年度：	102
語文別：	英文
論文頁數：	89
中文關鍵詞：	多孔黏彈性材料、近似模型、有限元素模擬、時間相依柏松比
外文關鍵詞：	poroviscoelstic material, approximate model, finite element simulation, time-dependent Poisson's ratio
相關次數：	點閱：131 下載：5
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多孔性材料是一種由固體骨架和存在於骨架孔隙間之流體所組成的雙相材料。除了固體骨架與流體間速度相依交互作用所產生的效應外，固體骨架本身也可能呈現與時間相依之黏彈特性。這兩者其物理機制不同之處為流動相依行為與排水路徑的長短有關，而黏彈行為則不。假設固體骨架之本質柏松比為定值下，Strange et al. (2013)提出一近似模型，多孔黏彈性材料之鬆弛行為是以上兩種物理機制的乘積。本文將仿照Strange 之方式延伸此近似模型，考慮到固體骨架之本質柏松比隨時間變化之實際情形。我們透過有限元素套裝軟體 ABAQUS 模擬三種常見的實驗，並利用數值結果測定多孔性材料參數。本文對於本質柏松比為時間相依的多孔黏彈性材料參數，進行了兩種方法測定:一是根據近似模型，二是由Laplce變換和數值逆轉換所得之解。欲在沒有任何前提假設下求得多孔材料的本質黏彈性質，我們建議當本質黏彈行為主宰時，在無圍束試驗下量測側向變形或在圍束試驗下量測側向力。改變試體尺寸重複實驗並使用適當的正規化，即可區分流動相依與黏彈反應，以決定此兩種時間相依行為的特性。

The porous material is a biphasic material composed of a solid skeleton and a fluid (liquid or gas) filled the voids. In addition to the effect of the rate-dependent interaction between two phases, the solid phase may exhibit intrinsic viscoelastic behavior. The physical mechanisms are different in that flow-dependent behavior varies with specimen size while viscoelastic behavior does not. Strange et al. (2013) offer an approximate model in which the poroviscoelastic load-relaxation is the product of the poroelastic and viscoelastic responses, based on constant intrinsic Poisson's ratio. The present research extends the Strange’s approximate model to include the poroviscoelastic material with time-dependent intrinsic Poisson’s ratio. We simulate three common experiments by finite element software ABAQUS and use the numerical data of different specimens to characterize the poroviscoelasticity of porous material. For poroviscoelastic materials with time-dependent intrinsic Poisson’s ratios, the characterizations are carried out by two methods: one is based on the modified approximate model, and the other is based on the solutions obtained from Laplace transform and numerical inverse transform. To obtain the intrinsic viscoelastic behavior including Poisson’s ratio without prior assumption, we suggest to measure lateral displacements in unconfined compression test or the lateral loads in confined compression tests, when the intrinsic viscoelastic behavior is dominated. Changing the specimen size and using appropriate normalization allow us to separate the poroelastic and viscoelastic responses, and thus determine both properties successfully.

摘要	I
Abstract	II
誌謝	III
Contents	IV
Tables	VI
List of Figures	VII
Chapter 1 Introduction	1
Chapter 2 Theoretical Background	4
2.1 Poroelastic Theory	4
2.1.1 Continuum Formulation	4
2.1.2 Micromechanical Approach	6
2.1.3 Field Equations	8
2.2 Poroviscoelastic Theory	9
2.2.1 Continuum Formulation	10
2.2.2 Micromechanical Approach	11
2.2.3 Field Equations	11
2.3 Approximate poroviscoelastic response	15
Chapter 3 Simulations for Experimental Tests	21
3.1 Unconfined Compression Test	21
3.1.1 Finite Element Model	21
3.1.2 Fitting with Approximate Model	22
3.2 Confined Compression Test	23
3.2.1 Finite Element Model	24
3.2.2 Fitting with Approximate Model	25
3.3 Indentation Test	26
3.3.1 Finite Element Model	27
3.3.2 Fitting with Approximate Model	27
Chapter 4 Results	35
4.1 Verification of the approximate model and extended approximate model	35
4.2 Constant intrinsic Poisson’s ratio	39
4.2.1 Unconfined Compression Test	39
4.2.2 Confined Compression Test	41
4.2.3 Indentation Test	42
4.3 Time-dependent intrinsic Poisson’s ratio	43
4.3.1 Confined Compression Test	43
4.3.2 Indentation Test	44
4.3.3 Unconfined Compression Test	45
4.3.3.1 Monotonically increasing Poisson’s ratio	45
4.3.3.2 Monotonically decreasing Poisson’s ratio	47
4.3.3.3 Separating relaxation behaviors using specimen sizes	48
Chapter 5 Summary	74
References	76
Appendix A: Viscoelastic and Poroelastic Solutions	80
Appendix B: PVE solutions in Laplace domain	85
Appendix C: Numerical Laplace Inversion	88
                                    

ABAQUS 6.10 User’s Manual
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