| 研究生: |
林漢偉 Lin, Han-Wei |
|---|---|
| 論文名稱: |
胸膜表面之軟彈液動潤滑分析 Soft Elastohydrodynamic Lubrication Analysis of Pleural Surfaces |
| 指導教授: |
李旺龍
Li, Wang-Long |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 材料科學及工程學系 Department of Materials Science and Engineering |
| 論文出版年: | 2015 |
| 畢業學年度: | 103 |
| 語文別: | 中文 |
| 論文頁數: | 109 |
| 中文關鍵詞: | 胸膜表面 、軟彈液動潤滑 、黏性剪切力 、橫向等向性 、摩擦係數分析 |
| 外文關鍵詞: | pleural surfaces, soft EHL, viscous shear stress, transversely isotropic, coefficient of friction |
| 相關次數: | 點閱:135 下載:0 |
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於多數生物系統上彈液動潤滑機制能保護軟組織免於外部傷害或磨損,胸膜表面間的運動即為其中一種,胸膜表面間的運動受到呼吸運動或是外部環境影響而產生不同的潤滑機制,因此維持正常的胸膜表面運動備受關注。
較少人針對胸膜的材料特性進行討論,為了更接近於生物軟組織的特性,本研究針對改變橫向等向性胸膜的各個材料特性及其他相關參數對潤滑結果的影響進行討論。藉由耦合雷諾方程式、線性彈性方程式和負載平衡方程式來進行求解,探討不同參數變化對軟彈液動潤滑結果的影響,同時加入流體黏性剪切力,計算胸膜表面間的摩擦係數。
經模擬結果發現,對於生物軟組織或是楊氏係數較低的軟材料而言,黏性剪切力產生的影響非常顯著,不能將此效應忽略。相較於一般彈液動潤滑分析,軟彈液動潤滑分析會因材料產生大變形而使流體壓力分佈於出口區不會有壓力突起(pressure spike)的產生。對於摩擦係數而言,負載和速度對摩擦係數的相關性最高,黏度和軸向楊氏係數中等相關,而橫向楊氏係數、橫向蒲松比和軸向蒲松比則影響較小。透過本研究的分析結果,期望能做為日後呼吸學及胸腔方面相關症狀或疾病的重要參考依據。
A soft elastohydrodynamic lubrication (EHL) model for a thin layer of fluid separating the transversely isotropic pleural surface from a rigid cylinder with an initial sinusoidal shape is presented. We consider the fluid viscous shear stress and discuss the fluid pressure, fluid thickness distribution, elastic deformation of pleura and coefficient of friction for various independent variables: Young’s modulus, Poisson’s ratio, viscosity, velocity and normal load. A finite element method (FEM) is utilized to solve the modified Reynolds equation, elasticity deformation equation and force balance equation simultaneously on a line contact soft EHL problem. The simulation results reveal that coefficient of friction is strongly dependent on normal load and velocity moderately dependent on the pleural viscosity and axial Young’s modulus, and weakly dependent on transverse Young’s modulus, transverse Poisson’s ratio and axial Poisson’s ratio. These characteristics are helpful to further investigate the biomechanical interactions between pleural surfaces with multilayer and viscoelastic properties.
[1] B. J. Hamrock, P. Pan, and R. T. Lee, "Pressure Spikes in Elastohydrodynamically Lubricated Conjunctions," Journal of Tribology-Transactions of the Asme, vol. 110, pp. 279-284, Apr 1988.
[2] R. T. Lee and B. J. Hamrock, "Squeeze and entraining motion in nonconformal line contacts. Part1. Hydrodynamic lubrication," Journal of Tribology-Transactions of the Asme, vol. 111, pp. 1-7, Jan 1989.
[3] R. T. Lee and B. J. Hamrock, "Squeeze and entraining motion in nonconformal line contacts. Part2. Elastohydrodynamic lubrication," Journal of Tribology-Transactions of the Asme, vol. 111, pp. 8-16, Jan 1989.
[4] J. Q. Yao and D. Dowson, "Elastohydrodynamic lubrication of soft‐layered solids at elliptical contacts: Part 2: film thickness analysis," Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol. 208, pp. 43-52, 1994.
[5] D. Dowson and J. Q. Yao, "A full solution to the problem of film thickness prediction in natural synovial joints," Proceedings of the Sixteenth Leeds-Lyon Symposium on Tribology, pp. 91-102, 1990.
[6] C. J. Hooke, "The elastohydrodynamic lubrication of a cylinder on an elastomeric layer," Wear, vol. 111, pp. 83-99, 1986.
[7] D. Dowson and Z. M. Jin, "Micro-elastohydrodynamic lubrication of synovial joints," Engineering in Medicine, vol. 15, pp. 63-65, April 1986.
[8] M. J. Jaffar, "Two-dimensional elastohydrodynamic lubrication of elastic strips," Wear, vol. 139, pp. 335-350, 1990.
[9] A. A. Elsharkawy and B. J. Hamrock, "EHL of Coated Surfaces: Part I—Newtonian Results," Journal of Tribology, vol. 116, pp. 29-36, 1994.
[10] A. A. Elsharkawy and B. J. Hamrock, "EHL of Coated Surfaces: Part II—Non-Newtonian Results," Journal of Tribology, vol. 116, pp. 786-793, 1994.
[11] K. Iwamoto, M. Shima, and J. Sato, "Stress distribution of coated film under EHL condition: part1.," In Proceedings of the JAST Tribology Conference, pp. 699-702, 1993.
[12] D. Dowson and Z. M. Jin, "Microelastohydrodynamic lubrication of low-elastic-modulus solids on rigid substrates," Journal of Physics D-Applied Physics, vol. 25, pp. A116-A123, Jan 14 1992.
[13] M. J. Jaffar, "On the microelastohydrodynamic lubrication of an elastomeric bonded layer," Tribology International, vol. 35, pp. 193-200, Mar 2002.
[14] A. A. Elsharkawy, M. J. A. Holmes, H. P. Evans, and R. W. Snidle, "Micro-elastohydrodynamic lubrication of coated cylinders using coupled differential deflection method," Proceedings of the Institution of Mechanical Engineers Part J-Journal of Engineering Tribology, vol. 220, pp. 29-41, Feb 2006.
[15] T. Fujino, K. Iwamoto, N. Akuzawa, and K. Tanaka, "Stress distribution of a coated film with an interlayer under elastohydrodynamic lubrication conditions," Proceedings of the Institution of Mechanical Engineers Part J-Journal of Engineering Tribology, vol. 223, pp. 553-562, May 2009.
[16] L. M. Chu, C. Y. Chen, C. K. Tee, Q. D. Chen, and W. L. Li, "Elastohydrodynamic Lubrication Analysis for Transversely Isotropic Coating Layer," Journal of Tribology-Transactions of the Asme, vol. 136, Jul 2014.
[17] Z. J. Wang, C. J. Yu, and Q. Wang, "Model for Elastohydrodynamic Lubrication of Multilayered Materials," Journal of Tribology-Transactions of the Asme, vol. 137, p. 14, Jan 2015.
[18] D. Dowson and V. Wright, "Bio-tribology," In Proceedings of the conference on the rheology of lubrication. The Institute of Petroleum, The Institution of Mechanical Engineers and the British Society of Rheology, pp. 81-88, 1973.
[19] Z. M. Jin and D. Dowson, "A general analytical solution to the problem of microelastohydrodynamic lubrication of low elastic modulus compliant bearing surfaces under line contact conditions," Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, vol. 211, pp. 265-272, 1997.
[20] J. F. Greenleaf, M. Fatemi, and M. Insana, "Selected methods for imaging elastic properties of biological tissues," Annual Review of Biomedical Engineering, vol. 5, pp. 57-78, 2003.
[21] J. M. Skotheim and L. Mahadevan, "Soft lubrication: The elastohydrodynamics of nonconforming and conforming contacts," Physics of Fluids, vol. 17, p. 23, Sep 2005.
[22] D. Dowson and Z. M. Jin, "Elastohydrodynamic lubrication in biological systems," Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol. 219, pp. 367-380, 2005.
[23] T. Osawa, T. Matsumoto, H. Naito, and M. Tanaka, "Evaluation of viscoelastic property of articular cartilage based on mechanical model considering tissue microstructure," Journal of Biomechanical Science and Engineering, vol. 7, pp. 31-42, 2012.
[24] R. K. Korhonen and W. Herzog, "Depth-dependent analysis of the role of collagen fibrils, fixed charges and fluid in the pericellular matrix of articular cartilage on chondrocyte mechanics," Journal of Biomechanics, vol. 41, pp. 480-485, 2008.
[25] R. C. Appleyard, D. Burkhardt, P. Ghosh, R. Read, M. Cake, M. V. Swain, et al., "Topographical analysis of the structural, biochemical and dynamic biomechanical properties of cartilage in an ovine model of osteoarthritis," Osteoarthritis and Cartilage, vol. 11, pp. 65-77, Jan 2003.
[26] T. Osawa, T. Matsumoto, H. Naito, and M. Tanaka, "Evaluation of mechanical and material properties of degenerated cartilage at functionally different regions," Transactions of Japanese Soceity for Medical and Biological Engineering (in Japanese), vol. 47, pp. 554-559, 2009.
[27] F. Boschetti, G. Pennati, F. Scienza, F. Gervaso, M. Colombo, G. M. Peretti, et al., "Depth dependent creep response of human articular cartilage during compression: experimental testing and simulation," Summer Bioengineering Conference, Sonesta Beach Resort in Key Biscayne, Florida, 2003.
[28] K. H. Albertine, J. P. Wienerkronish, J. Bastacky, and N. C. Staub, "No evidence for mesothelial cell contact across the costal pleural space of sheep," Journal of Applied Physiology, vol. 70, pp. 123-134, Jan 1991.
[29] N. S. Wang, "The regional difference of pleural mesothelial cells in rabbits," American Review of Respiratory Disease, vol. 110, pp. 623-633, 1974.
[30] H. V. Hayek, The Human Lung. New York: Hafner, 1960.
[31] A. C. Guyton, Textbook of Medical Physiology, Third Edition. Philadelphia: Saunders, 1968.
[32] C. Nagaishi, Functional Anatomy And Histology of The Lung. Published by University Park Press, Baltimore, 1972.
[33] R. G. Fraser and J. A. P. Pare, Organ Physiology: Structure and Function of the Lung. Philadelphia: Saunders, 1977.
[34] E. H. Oldmixon and F. G. Hoppin, "Comparison of amounts of collagen and elastin in pleura and parenchyma of dog lung," Journal of Applied Physiology, vol. 56, pp. 1383-1388, 1984.
[35] D. Stamenovic, "Mechanical-properties of pleural membrane," Journal of Applied Physiology, vol. 57, pp. 1189-1194, 1984.
[36] E. Agostoni, Mechanics of the Pleural Space.Handbook of Physiology, Section 3: The Respiratory System, Vol. 2: Mechanics of Breathing, part 2. . American Physiological Society, Bethesda, MD, 1986.
[37] P. M. Wang and S. J. LaiFook, "Effect of mechanical ventilation on regional variation of pleural liquid thickness in rabbits," Lung, vol. 175, pp. 165-173, May-Jun 1997.
[38] L. Zocchi, A. Raffaini, E. Agostoni, and D. Cremaschi, "Diffusional permeability of rabbit mesothelium," Journal of Applied Physiology, vol. 85, pp. 471-477, Aug 1998.
[39] J. Lai, A. Gouldstone, J. P. Butler, W. J. Federspiel, and S. H. Loring, "Relative motion of lung and chest wall promotes uniform pleural space thickness," Respiratory Physiology & Neurobiology, vol. 131, pp. 233-243, Aug 2002.
[40] A. Gouldstone, R. E. Brown, J. P. Butler, and S. H. Loring, "Elastohydrodynamic separation of pleural surfaces during breathing," Respiratory Physiology & Neurobiology, vol. 137, pp. 97-106, Aug 2003.
[41] A. Gouldstone, R. E. Brown, J. P. Butler, and S. H. Loring, "Stiffness of the pleural surface of the chest wall is similar to that of the lung," Journal of Applied Physiology, vol. 95, pp. 2345-2349, Dec 2003.
[42] M. A. Hajji, "Indentation of a membrane on an elastic half space," Transactions of the ASME. Journal of Applied Mechanics, vol. 45, pp. 320-324, June 1978.
[43] M. A. Hajji, T. A. Wilson, and S. J. Laifook, "Improved measurements of shear modulus and pleural membrane tension of the lung," Journal of Applied Physiology, vol. 47, pp. 175-181, 1979.
[44] S. H. Loring, R. E. Brown, A. Gouldstone, and J. P. Butler, "Lubrication regimes in mesothelial sliding," Journal of Biomechanics, vol. 38, pp. 2390-2396, Dec 2005.
[45] T. Moghani, J. P. Butler, J. L. W. Lin, and S. H. Loring, "Finite element simulation of elastohydrodynamic lubrication of soft biological tissues," Computers & Structures, vol. 85, pp. 1114-1120, Jun 2007.
[46] T. Moghani, J. P. Butler, and S. H. Loring, "Determinants of friction in soft elastohydrodynamic lubrication," Journal of Biomechanics, vol. 42, pp. 1069-1074, May 29 2009.
[47] E. Agostoni and L. Zocchi, "Pleural liquid and its exchanges," Respiratory Physiology & Neurobiology, vol. 159, pp. 311-323, Dec 2007.
[48] K. H. Albertine, J. P. Wienerkronish, and N. C. Staub, "The structure of the parietal pleura and its relationship to pleural liquid dynamics in sheep," Anatomical Record, vol. 208, pp. 401-409, 1984.
[49] J. D. Humphrey, D. L. Vawter, and R. P. Vito, "Mechanical-behavior of excised canine visceral pleura," Annals of Biomedical Engineering, vol. 14, pp. 451-466, 1986.
[50] J. R. Turner, "Contact on a transversely isotropic half-space, or between 2 transversely isotropic bodies," International Journal of Solids and Structures, vol. 16, pp. 409-419, 1980.
[51] W. Lin, C. H. Kuo, and L. M. Keer, "Analysis of a transversely isotropic half space under normal and tangential loadings," Transactions of the ASME. Journal of Tribology, vol. 113, pp. 335-338, April 1991.
[52] F. Rohrer, "Physiologie der Atembewegung. In Handbuch der normalen und pathologischen Physiologie," Springer, vol. 2, pp. 70-127, 1925.
[53] S. Yamada, "Über die seröse Flüssigkeit in der Pleurahöhle der gesunden Menschen," Zeitschrift für die gesamte experimentelle Medizin, vol. 90, pp. 342-348, 1933.
[54] Miserocc.G and E. Agostoni, "Contents of the pleural space," Journal of Applied Physiology, vol. 30, pp. 208-213, 1971.
[55] I. Setnikar, E. Agostoni, and A. Taglietti, "Entità, caratteristiche e origine della depressione pleurica," Archives of Biological Sciences, vol. 41, pp. 312-325, 1957.
[56] C. J. A. Roelands, J. C. Vlugter, and H. I. Waterman, "The viscosity-temperature-pressure relationship of lubricating oils and its correlation with chemical constitution," Journal of Fluids Engineering, vol. 85, pp. 601-607, 1963.
[57] C. Barus, "Isothermals, isopiestics and isometrics relative to viscosity," American Journal of Science, pp. 87-96, 1893.
[58] D. Dowson and G. R. Higginson, " Elastohydrodynamic lubrication: fundamentals of roller and gear lubrication," Pergamon Press, 1966.
[59] S. R. Wu, "A penalty formulation and numerical approximation of the Reynolds-Hertz problem of elastohydrodynamic lubrication," International Journal of Engineering Science, vol. 24, pp. 1001-1013, 1986.
[60] W. Habchi, D. Eyheramendy, P. Vergne, and G. Morales-Espejel, "A full-system approach of the elastohydrodynamic line/point contact problem," Journal of Tribology-Transactions of the Asme, vol. 130, p. 10, Apr 2008.
[61] L. Li and C. T. Hao, "Constraints on anisotropic parameters in transversely isotropic media and the extensions to orthorhombic media," Chinese Journal of Geophysics, vol. 54, pp. 798-809, 2011.
[62] J. Raphson, Analysis Aequationum universalis vol. 2: typis T. B. prostant venales apud A. & I. Churchill, 1702.
[63] M. R. Silva, Z. J. Yuan, J. H. Kim, Z. G. Wang, M. Hoyos, Y. T. Pan, et al., "Spherical indentation of lungs: Experiments, modeling and sub-surface imaging," Journal of Materials Research, vol. 24, pp. 1156-1166, Mar 2009.
校內:2020-07-20公開