臺灣博碩士論文加值系統

黏附力是一種發生在兩接觸表面的正向力或法向負載和剪切力共同作用之吸引力，在石化工業發展以來聚合物材料已在生活中廣泛使用，不管是微機電材料的電活性聚合物(EAP)、醫療的自潤滑人工膝蓋(PE)、工業治具用的工程塑膠(POM)亦或是生活常見之壓克力板(PMMA)等等，在了解不同粗糙度下之黏附力效應後以期增加聚合物使用效力。
本論文設計構想利用Prasanta Sahoo 等人[3]所使用之兩固體表面之彈塑性負載計算方程式不同聚合物材料之間之接觸負載與脫拔力之關係，並分為理論與實驗二部份，在實驗部分利用3D光學表面粗度儀量(3D Optical Profilometer)測試不同聚合物材料的面粗糙度及自相關函數ACF及其他函數後，代入MATLAB code計算可分析所需要之實際彈性塑性負載，並利用原子力顯微鏡AFM (atomic force microscope)量測其脫拔力，並比較其黏附力之關係。
實驗結果發現1.當材料表面粗糙度增加的時候，其黏附係數亦會增加，且拉力負載也會增加。2.相關長度及表面粗糙度的大小會直接的影響黏附係數以及塑性指數。3.比較了同一種粗糙度下的聚合物材料無因次負載，發現其粗糙度增加則拉力負載減小。4. 5個聚合物比較後發現PMMA材料擁有最小無因次負載，而PVC則有最大的無因次負載。

Adhesion is attraction of some forces that occurs between two solid surfaces when they are in contact, either under a pure normal load (or) combined normal load and shear forces. Since the development of the petrochemical industry, polymer materials have been widely used in daily life, whether it is electroactive polymers (EAP) for microelectromechanical materials, polyethylene (PE) for medical self-lubricating artificial knees, and engineering plastics (POM) for industrial jigs, or the common acrylic sheet (PMMA), etc., in order to increase the effectiveness of the polymer, here they used Polyamide 66(PA 66), Polymethyl methacrylate (PMMA), Nyla cast Polyacetal (POM-C), Polypropylene (PP) and Polyvinyl chloride (PVC) as different polymer materials. so, all these polymer materials are used in the many industrial applications, medical field, manufacturing products, etc.,
The major aim of this research is to measure the relation between dimensionless load vs dimensionless separation resulted based on the Prasanta Sahoo study [3] at various contact properties measured by experimentally. Parameters such as adhesion index, plasticity index, adhesion work, surface roughness and adhesive force have to be tested to measure the pull-off force at various contact properties. The adhesion work can be measured by using the contact angle measurement unit. 3D optical profilometer machines need to be used to measure the surface roughness, correlation length, correlation coefficient and the height of the peak value also. And AFM (Atomic Force Microscopy) is used to measure the adhesive force. By using the MATLAB program to analyze the total contact load-separation height performance of the adhesion index and plasticity index to different polymer materials at the different surface roughness. The results show that (1) If the surface roughness decreases then the adhesion index and load will be increases. (2) Adhesion index and plasticity index will be depending on both the correlation length and surface roughness. (3) For comparing the different polymer materials under the same roughness, it shows that if the surface roughness is increased then the pull-off force decreases, and (4) Among all these polymer materials PMMA material has the less pull-off force and PVC material has the more pull-off force.

ABSTRACT...i
摘要...iii
ACKNOWLEDGEMENTS...v
TABLE OF CONTENTS...vi
LIST OF TABLES...x
LIST OF FIGURES...xii
SYMBOLS...xviii
CHAPTER 1 INTRODUCTION...1
1.1 INTRODUCTION...1
CHAPTER 2 LITERATURE REVIEW...6
2.1 INTRODUCTION...6
2.2 LITERATURE REVIEW...6
CHAPTER 3 METHODOLOGY...9
3.1 INTRODUCTION...9
3.2 THEORETICAL METHOD...9
3.2.1 ELASTIC-PLASTIC ADHESIVE INTERACTION...9
3.3 INTRODUCTION TO MATLAB SOFTWARE...12
3.3.1 PROCEDURE IN MATLAB...13
3.3.2 OPERATIONS OF MATLAB & DIFFERNET CHARACTERS...15
3.4 EXPERIMANTAL METHODS...16
3.4.1 CONTACT ANGLE MEASUREMENT DEVICE...17
3.4.2 3D OPTICAL PROFILOMETER...21
3.4.3 ATOMIC FORCE MICROSCOPY (AFM)...25
3.5 MATERIAL PROPERTIES...30
3.5.1 POLYAMIDE 66 (PA 66)...31
3.5.2 POLYMETHYL METHACRYLATE (PMMA)...32
3.5.3 POLYVINYL CHLORIDE (PVC)...33
3.5.4 NYLA CAST POLYACETAL (POM-C)...34
3.5.5 POLY PROPYLENE (PP)...35
3.6 EXPERIMENTAL PROCEDURE...36
3.7 DETAILED EXPLANATION OF CALCULATION...37
3.7.1 SURFACE ROUGHNESS...37
3.7.2 CORRELATION LENGTH...38
3.7.3 CONTACT ANGLE...40
3.7.4 SURFACE ENERGY...40
3.7.5 ADHESION WORK...42
3.7.6 ADHESION INDEX...43
3.7.7 PLASTICITY INDEX...44
3.7.8 ADHESION FORCE...44
CHAPTER 4 RESULTS & DISCUSSION...46
4.1 INTRODUCTION...46
4.2 THEORETICAL RESULTS...46
4.2.1 AT SURFACE ROUGHNESS (σ = 0.406 μm)...48
4.2.2 AT SURFACE ROUGHNESS (σ = 0.106 μm)...53
4.2.3 AT SURFACE ROUGHNESS (σ = 50 nm)...58
4.3 EXPERIMENTAL RESULTS...61
4.3.1 POLYAMIDE 66...62
4.3.2 POLYMETHYL METHACRYLATE (PMMA)...70
4.3.3 NYLA CAST POLYACETAL (POM-C)...75
4.3.4 POLY PROPYLENE (PP)...81
4.3.5 POLYVINYL CHLORIDE (PVC)...86
4.4.6 DIMENSIONLESS LOAD VS. DIMENSIONLESS SEPARATION FOR DIFFERENT POLYMER MATERIALS AT SURFACE ROUGHNESS σ = 0.2 μm ± 50 nm...92
4.4.7 DIMENSIONLESS LOAD VS. DIMENSIONLESS SEPARATION FOR DIFFERENT POLYMER MATERIALS AT SURFACE ROUGHNESS σ = 0.3 μm ± 50 nm...93
4.4.8 DIMENSIONLESS LOAD VS. DIMENSIONLESS SEPARATION FOR DIFFERENT POLYMER MATERIALS AT SURFACE ROUGHNESS σ = 0.4 μm ± 50 nm...94
4.4.9 DIMENSIONLESS LOAD VS. DIMENSIONLESS SEPARATION FOR DIFFERENT POLYMER MATERIALS AT SURFACE ROUGHNESS σ = 0.5 μm ± 50 nm...95
4.4.10DIMENSIONLESS LOAD VS. DIMENSIONLESS SEPARATION FOR DIFFERENT POLYMER MATERIALS AT SURFACE ROUGHNESS σ = 0.6 μm ± 50 nm...96
4.4.11MEASUREMNT OF ADHESION FORCE FOR POLYMER MATERIALS AT DIFFERENT SURFACE ROUGHNESS BY USING ATOMIC FORCE MICROSCOPY (AFM)...98
CHAPTER 5 CONCLUSION...109
5.3 THEORETICAL RESULTS...109
5.4 EXPERIMENTAL RESULTS...109
5.5 FUTURE WORK...111
REFERENCES...112
EXTENDED ABSTRACT...115

[1] Popov. V. L. (2009). Contact Mechanics and Friction. Springer German,
[2] Hesam, G., Amin, M., Philip, J. B., and Musa, R. K. (2014) Effect of Polyamide 66 on the Mechanical and Thermal Properties of Post-Industrial Waste Polyamide 6, Polymer-Plastics Technology and Engineering, 53:17, 1794-1803, DOI: 10.1080/03602559.2014.935398
[3] Sahoo, P., Mitra, A., & Saha, K. (2009). Elastic-plastic adhesive contact of rough surfaces using n-point asperity model. Journal of Physics D: Applied Physics, 42(6). https://doi.org/10.1088/0022-3727/42/6/065302
[4] Chowdhury, S. K. R., and Ghosh, P. (1994). Adhesion and adhesion friction at the contact between solids. Wear, 174(1–2), 9–19. https://doi.org/10.1016/0043-1648(94)90081-7
[5] Sahoo, P., & Banerjee, A. (2005). Asperity interaction in elastic-plastic contact of rough surfaces in presence of adhesion. Journal of Physics D: Applied Physics, 38(16), 2841–2847. https://doi.org/10.1088/0022-3727/38/16/016
[6] Greenwood, J. A., and Tripp, J. H. (1970). The Contact of Two Nominally Flat Rough Surfaces. Proceedings of the Institution of Mechanical Engineers, 185(1), 625–633. Doi:10.1243/pime_proc_1970_185_069_02
[7] Johnson, K. L., Kendall, K., and Roberts, A. D. (1971). Surface energy and the contact of elastic solids. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 324(1558), 301–313. https://doi.org/10.1098/rspa.1971.0141
[8] Roy Chowdhury, S. K., and Pollock, H. M. (1981). Adhesion between metal surfaces: The effect of surface roughness. Wear, 66(3), 307–321. https://doi.org/10.1016/0043-1648(81)90124-1
[9] Utracki, L. A. (2003). Introduction to Polymer Blends. Polymer Blends Handbook, (January), 1–122. https://doi.org/10.1007/0-306-48244-4_1
[10] Tabor, D. (1977). Surface forces and surface interactions. Journal of Colloid and Interface Science, 58(1), 2–13. Doi:10.1016/0021-9797(77)90366-6
[11] Evseev, D. G., Medvedev, B. M., and Grigoriyan, G. G. (1991). Modification of the elastic-plastic model for the contact of rough surfaces. Wear, 150(1-2), 79–88. Doi:10.1016/0043-1648(91)90307-g
[12] Mukherjee, S., Ali, S. M., and Sahoo, P. (2004). An improved elastic-plastic contact model of rough surfaces in the presence of adhesion. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 218(6), 557–568. Doi:10.1243/1350650042794789
[13] Bhushan, B., (1990). Solid Surface Characterization. Tribology and Mechanics of Magnetic Storage Devices, 63–156. https://doi.org/10.1007/978-1-4684-0335-0_2
[14] Yang, S., Zhang, H., & Hsu, S. M. (2007). Correction of random surface roughness on colloidal probes in measuring adhesion. Langmuir, 23(3), 1195–1202. https://doi.org/10.1021/la0622828
[15] Hariri, A., Zu, J. W., and Ben, M. R., (2006). Modeling of elastic/plastic contact between nominally flat rough surfaces using an n-point asperity model. Journal of Tribology, 128(4), 876–885. https://doi.org/10.1115/1.2345409
[16] Waghmare, A. K., and Sahoo, P. (2015). Adhesive friction at the contact between rough surfaces using n-point asperity model. Engineering Science and Technology, an International Journal, 18(3), 463–474. https://doi.org/10.1016/j.jestch.2015.03.006