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研究生：	林鼎鈞 Lin, Ting-Chun
論文名稱：	橢圓蜂巢材料之面內與面外力學性質與微結構有效性 In-Plane and Out-of-Plane Mechanical Properties and Microstructural Efficiency of Elliptical Cell Honeycombs
指導教授：	黃忠信 Huang, Jong-Shin
學位類別：	博士 Doctor
系所名稱：	工學院 - 土木工程學系 Department of Civil Engineering
論文出版年：	2013
畢業學年度：	101
語文別：	英文
論文頁數：	190
中文關鍵詞：	橢圓形蜂巢材料、六角形蜂巢材料、分析模型、材料性質、平面外彈性行為、潛變斷裂
外文關鍵詞：	Elliptical Cell Honeycombs, Hexagonal honeycombs, Modeling, Mechanical properties, Out-of-plane elastic properties, Creep rupturing
相關次數：	點閱：104 下載：5
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本研究針對具工程應用潛力之新型橢圓蜂巢材料，採用理論分析與數值模擬方法，探討此橢圓蜂巢材料於承受初始外力作用下，其面內與面外之彈性力學性質，再藉由與傳統規則六角形蜂巢材料之相互比較，評估其面內與面外力學性質之微結構有效性。首先，建立一單細胞理論分析模型，推導獲得橢圓蜂巢材料於常溫環境下之面內力學性質，包括彈性模數、蒲松比、脆性斷裂強度與塑性降伏強度等。同時，考量高溫環境下之潛變破裂行為，當假設組成固體材料遵循Monkman-Grant關係式，理論求得此橢圓蜂巢材料之潛變破裂行為，例如，Monkman-Grant參數、潛變破裂時間與潛變應變速率之理論表示式。此外，採用一最小重複單元體之三維數值分析模型，數值分析橢圓蜂巢材料之面外力學性質，獲得彈性模數、剪力模數、壓力挫曲強度與剪力挫曲強度等之數值分析結果，其中有關微結構對其面外力學性質之影響，使用一束制常數與細胞幾何參數，於面外力學性質關係式中加以代表。理論與數值分析結果顯示，面內與面外之彈性力學行為受其微結構影響甚大，並且，研究結果可表示成相同相對密度圓形蜂巢材料力學性質與細胞幾何參數之乘積，進而獲得橢圓蜂巢材料面內與面外彈性力學性質之理論表示式。最後，將各種常見相對密度與橢圓率橢圓蜂巢材料之力學性質製成參數設計圖，以利後續工程設計所需。

In the study, the in-plane and out-of-plane mechanical properties of novel and promising elliptical cell honeycombs are analyzed theoretically and numerically. The results of elliptical cell honeycombs are then compared with those of regular hexagonal honeycombs to evaluate their microstructural efficiency. At first, the in-plane mechanical properties of elliptical cell honeycombs including elastic moduli, Poisson’s ratios, brittle crushing strengths and plastic yielding strengths are analyzed theoretically using a unit cell model. Next, the theoretical expressions for the creep-rupturing times, creep strain rates and Monkman-Grant parameters of elliptical cell honeycombs subjected to uniaxial tension or compression at elevated temperatures are analyzed theoretically. In addition, a three-dimensional representative volume element model with appropriate periodic boundary conditions is proposed and employed to numerically calculate the out-of-plane elastic modulus, shear moduli, compressive buckling strengths and shear buckling strengths of elliptical cell honeycombs. The effects of solid distribution in cell walls on the out-of-plane mechanical properties are evaluated to give the theoretical expressions including end constraint factors and cell-geometry coefficients. The results indicate that the in-plane and the out-of-plane mechanical properties of elliptical cell honeycombs are affected significantly by the ellipticity of cell walls. The theoretical expressions for describing the mechanical properties of elliptical cell honeycombs can be written as the product of the mechanical properties of same relative-density circular cell honeycombs and a function of the ellipticity of cell walls. A series of design maps for the in-plane and out-of-plane mechanical properties of elliptical cell honeycombs are generated, and these can be utilized to determine the lowest relative density and a particular ellipticity of cell walls of elliptical cell honeycombs when a set of required mechanical properties is prescribed.

Abstract	I
Acknowledgement	IV
Table of Contents	V
List of Tables	IX
List of Figures	X
Chapter 1	Introduction	1
1	Literature Review	3
2	Scope of Thesis	7
Chapter 2	Honeycomb Model	10
1	Circular Cell Honeycombs	10
1.1	Cell Geometry	11
1.2	Elastic Modulus and Poisson’s Ratio	11
2	Elliptical Cell Honeycombs	12
2.1	Cell Geometry	13
2.2	Elastic Modulus and Poisson’s Ratio 	14
3	Hexagonal Honeycombs with Variable Thickness and Curved cell Edges	
	15
3.1	Cell Geometry	15
3.2	The In-Plane Mechanical Properties of Regular Hexagonal Honeycombs	17
3.3	The Out-of-Plane Mechanical Properties of Regular Hexagonal Honeycombs	19
Chapter 3	In-Plane Mechanical Properties of Circular Cell Honeycombs	29
1	Theoretical Analysis	30
1.1	Elastic Modulus	30
1.2	Poisson’s Ratio	36
1.3	Brittle Crushing Strength	38
1.4	Plastic Yielding Strength	40
2	Finite Element Analysis	42
3	Results and Discussion	43
3.1	Elastic Modulus	44
3.2	Poisson’s Ratio	45
3.3	Brittle Crushing Strength	46
3.4	Plastic Yielding Strength	47
4	Conclusions	47
Chapter 4	In-Plane Mechanical Properties of Elliptical Cell Honeycombs	61
1	Theoretical Analysis	62
1.1	Elastic Modulus	62
1.2	Poisson’sRatio	65
1.3	Brittle Crushing Strength	67
1.4	Plastic Yielding Strength	68
2	Finite Element Analysis	69
3	Results and Discussion	70
3.1	Elastic Modulus	70
3.2	Poisson’s Ratio	72
3.3	Brittle Crushing Strength	73
4	Conclusions	74
Chapter 5	Creep-Rupturing of Elliptical and Circular Cell Honeycombs	87
1	Theoretical Analysis	88
2	Results and Discussion	98
2.1	Creep-Rupturing of Circular Cell Honeycombs	98
2.2	Elastic Modulus	100
2.3	Creep-Rupturing of Elliptical Cell Honeycombs	101
3	Conclusions	103
Chapter 6	Out-of-plane Mechanical Properties of Hexagonal Honeycombs
	114
1	Numerical Analysis	115
2	Results and Discussion	116
2.1	Elastic Modulus	117
2.2	Shear Modulus	117
2.3	Compressive Buckling Strength	120
2.4	Shear Buckling Strength	124
3	Conclusions	127
Chapter 7	Out-of-Plane Mechanical Properties of Elliptical and Circular Cell Honeycombs	141
1	Finite Element Analysis	142
2	Results and Discussion	143
2.1	Elastic Modulus	143
2.2	Shear Modulus	144
2.3	Compressive Buckling Strength	146
2.4	Shear Buckling Strength	149
3	Conclusions	152
Chapter 8	The Effects of Microstructure Efficiency of Honeycombs on their Mechanical Properties	168
1	A uniformly Perfect Geometry	168
2	Effects of   on the Mechanical Properties	171
3	Effects of   on the Mechanical Properties	172
4	Effect of   on the Mechanical Properties	173
Chapter 9	Conclusions and Suggestions	175
1	Conclusions	175
2	Suggestions	181

References	183
                                    

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校內：2015-07-22公開
校外：2015-07-22公開

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