| 研究生: |
王思翰 Wang, Szu-Han |
|---|---|
| 論文名稱: |
生醫鈦合金(Ti-12Mo-6Zr-2Fe)在不同溫度下之高速撞擊特性與微觀組織 Dynamic impact response and microstructural evolution of Ti-12Mo-6Zr-2Fe biomedical alloy under high strain rate and various temperatures |
| 指導教授: |
李偉賢
Lee, Woei-Shyan |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2019 |
| 畢業學年度: | 107 |
| 語文別: | 中文 |
| 論文頁數: | 120 |
| 中文關鍵詞: | Ti-12Mo-6Zr-2Fe合金 、霍普金森桿 、高溫 、高應變速率 、差排密度 、亞穩定型β態生醫鈦合金 |
| 外文關鍵詞: | Ti-12Mo-6Zr-2Fe, dislocation density, spilt Hopkinson pressure bar, high temperature, high strain rate |
| 相關次數: | 點閱:87 下載:0 |
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本文係以利用霍普金森高速撞擊試驗機及加熱裝置,來探討Ti-12Mo-6Zr-2Fe第三代生醫鈦合金在不同溫度與高應變速率荷載下之塑性變形之行為與微觀結構之分析。分別於實驗溫度25°C、450°C、900°C及應變速率1000s-1、2000s-1、3000 s-1條件下,進行高速撞擊實驗,藉此分析材料在進行塑變行為中之巨觀機械性質變化,再利用(OM、TEM)對微觀結構進行分析,了解應變速率及溫度對材料塑性變形行為與微觀結構之影響;最後再藉由構成方程式來描述巨觀及微觀之間的關係。
根據實驗結果顯示,Ti-12Mo-6Zr-2Fe於相同溫度下,其塑流應力值、應變速率敏感性係數、加工硬化率、及溫度敏感性係數與理論溫升量,皆隨應變速率上升而上升;而當應變速率固定時,其塑流應力值、應變速率敏感性係數、加工硬化率、溫度敏感性係數與理論溫升量,皆隨溫度的上升而下降。反觀熱活化體積與活化能,在固定溫度條件下,其值隨應變速率上升而下降;在固定應變速率之下,則隨溫度上升而上升。最後各實驗條件下之塑變行為皆可使用Zerilli-Armstrong構成方程式進行模擬,並可作為往後工程模擬分析時之應用。
在微觀方面本次實驗使用光學顯微鏡(OM)對金相進行觀察,可發現本材料為介穩態之Beta相鈦合金,加熱至Beta轉換溫度(754°C)後可藉由快速冷卻之方法保持純Beta相,但在持續的加熱過程中將出現alpha相與omega相之相結合結構;而在穿透式電子顯微鏡(TEM)觀察下,可發現其差排密度隨著應變速率上升而上升,隨著溫度下降而下降。最後結合巨觀與微觀之結果顯示,Bailey-Hirsch方程式可描述塑流應力值與差排密度兩者之間的關係,透過穿透式電子顯微鏡的觀測,材料在遭受撞擊後差排會糾結在一起,因此差排密度將隨著應變速率的上升而增加,此外隨著應變速率的上升,甚至可觀察到差排環的產生。
In this study, Ti-12Mo-6Zr-2Fe was tested under different strain rates ranging from 1000s-1 to 3000s-1 and different temperatures of 25°C, 450°C, and 900°C by using split-Hopkinson pressure bar. The Aim is to investigate its dynamic impact response and microstructural evolution.
The experimental results reveal that strain rates, strain and temperature affect the mechanical properties of Ti-12Mo-6Zr-2Fe alloy strongly. The Zerilli-Armstrong constitutive law can be used to perfectly describe the deformation behave of this material under different strain rates, strains, and temperatures. Moreover, the flow stress, strain rate sensitivity, work hardening rate, theoretical temperature rise, and temperature sensitivity all increase with increasing strain rate, but decrease with increasing temperature. However, the activation energy and the thermal activation volume is found to decrease with increasing strain rate and increase with increasing temperature.
The optical microstructure shows that Ti-12Mo-6Zr-2Fe has a pure β type at room temperature. However with the increasing temperature it transfers into Hcp type. Above β transfer temperature(754°C), a pure β type appears. The transmission electron microscopic observations reveal that the dislocation density increases with the decreasing temperature or the increasing strain rate. The relationship between the stress and the dislocation density can be expressed by using Bailey-Hirsch equation.
[1]M. A. Meyers, Dynamic behavior of materials: John wiley & sons, 1994.
[2]H. Kolsky, "An investigation of the mechanical properties of materials at very high rates of loading," Proceedings of the Physical Society. Section B, vol. 62, p. 676, 1949.
[3]B. Butcher and C. Karnes, "Strain‐Rate Effects in Metals," Journal of Applied Physics, vol. 37, pp. 402-411, 1966.
[4]F. E. Hauser, "Techniques for measuring stress-strain relations at high strain rates," Experimental Mechanics, vol. 6, pp. 395-402, 1966.
[5]D. Steinberg, S. Cochran, and M. Guinan, "A constitutive model for metals applicable at high‐strain rate," Journal of Applied Physics, vol. 51, pp. 1498-1504, 1980.
[6]M. Niinomi, "Mechanical properties of biomedical titanium alloys," Materials Science and Engineering: A, vol. 243, no. 1-2, pp. 231-236, 1998.
[7]K. K. Wang, "Microstructure and properties of a New Beta Titanium Alloy, Ti-12Mo-6Zr-2Fe, Developed for Surgiacl Implants ," Medical Applications ASTM STP 1272, S. A. Brown and J. E. Lemons, Eds., American Society for Testing and materials, 1996.
[8]K. K. Wang, "The use of titanium for medical applications in the USA," Matericals Science and Engineering A213(1996) 134-137.
[9]Xueyuan Yang, Christopher R. Hutchinson, "Corrosion-wear of β-Ti alloy TMZF(Ti-12Mo-6Zr-2Fe) in simulated body fluid," Acta biomaterial 42(2016)429-439.
[10]M. P. C Leyens, Titanium and titanium alloys: fundamentals and applications. 2003.
[11] J. R. Jorge, V. A. Barao, J. A. Delben, L. P. Faverani, T. P. Queiroz, and W. G. Assuncao, "Titanium in dentistry: historical development, state of the art and future perspectives," J Indian Prosthodont Soc, vol. 13, no. 2, pp. 71-7, Jun 2013.
[12]C. Ouchi, H. Iizumi, and S. Mitao, "Effects of ultra-high purification and addition of interstitial elements on properties of pure titanium and titanium alloy,"Materials Science and Engineering: A, vol. 243, no. 1-2, pp. 186-195, 1998.
[13]E. Eisenbarth, D. Velten, M. Muller, R. Thull,and J. Breme."Biocompatibility of β-stabilizing elements of titanium alloys," Biomaterials, vol. 25, no. 26, pp.5705-5713,2004.
[14] Yufeng Zheng, M.S. ,"Nucleation Mechanisms of Refined Alpha Microstructure in Beta Titanium Alloys," 2013, Doctor of Philosophy, Ohio State University,Materials Science and Engineering.
[15] M. J. Donachie, Titanium: a technical guide. ASM international, 2000
[16] A. Choubey, R. Balasubramaniam, and B. Basu, "Effect of replacement of V by Nb and Fe on the electrochemical and corrosion behavior of Ti–6Al–4V in simulated physiological environment," Journal of Alloys and Compounds, vol. 381, no. 1-2, pp. 288-294, 2004.
[17] K. Bordji et al., "Cytocompatibility of Ti-6Al-4V and Ti-5Al-2.5 Fe alloys according to three surface treatments, using human fibroblasts and osteoblasts," Biomaterials, vol. 17, no. 9, pp. 929-940, 1996.
[18] H. Conrad, "Thermally activated deformation of metals," JOM, vol. 16, pp. 582-588, 1964.
[19] W. Ferguson, A. Kumar, and J. Dorn, "Dislocation damping in aluminum at high strain rates," Journal of Applied Physics, vol. 38, pp. 1863-1869, 1967.
[20] M. Geetha, A. K. Singh, R. Asokamani, and A. K. Gogia, "Ti based biomaterials, the ultimate choice for orthopaedic implants – A review," Progress in Materials Science, vol. 54, pp. 397-425, 2009.
[21] M. Niinomi, "Mechanical properties of biomedical titanium alloys," Materials Science and Engineering: A, vol. 243, no. 1-2, pp. 231-236, 1998.
[22] D. Kuroda, M. Niinomi, M. Morinaga, Y. Kato, and T. Yashiro, "Design and mechanical properties of new β type titanium alloys for implant materials," Materials Science and Engineering: A, vol. 243, no. 1-2, pp. 244-249, 1998.
[23] X. H. Min ,S. Emura ,N. Sekido ,T. Nishimura ,K. Tsuchiya ,K. Tsuzaki, "Effect of Fe addition on tensile deformation mode and crevice corrosion resistance in Ti-15Mo alloy,"Material Science and Engineering A527(2010)2693-2701.
[24] Wen-Fu Ho ,Shih-Ching Wu ,Shih-Kuang Hsu ,Yu-chi Li ,Hsueh-Chuan Hsu,"Effects of molubdenum content on the structure and mechanical properties of as-cast Ti-10Zr-based alloys for biomedical applications," Materical Science and Engineering C 32(2012)517-522.
[25]P. Mohan, Abou Bakr Elshalakany, T.A. Osman, V. Amigo, Alaa Mohamed , "Effect of fe content, sintering temperature and power processing on the microstructure, fracture and mechanical behaviors of Ti-Mo-Zr-Fe alloys," Joumal of Alloys and Compounds.
[26] U. S. Lindholm, "High strain rate tests," Measurement of mechanical properties, vol. 5, pp. 199-271, 1971.
[27] U. Lindholm and L. Yeakley, "High strain-rate testing: tension and compression," Experimental Mechanics, vol. 8, pp. 1-9, 1968.
[28]J. Achenbach, Wave propagation in elastic solids vol. 16: Elsevier, 2012.
[29]B. Dodd, Adiabatic shear localization: occurrence, theories, and applications: Pergamon Press, 1992.
[30]W.-S. Lee and C.-F. Lin, "Plastic deformation and fracture behaviour of Ti–6Al–4V alloy loaded with high strain rate under various temperatures," Materials Science and Engineering: A, vol. 241, pp. 48-59, 1998.
[31]A. Kumar, F. Hauser, and J. Dorn, "Viscous drag on dislocations in aluminum at high strain rates," Acta Metallurgica, vol. 16, pp. 1189-1197, 1968.
[32] J. Campbell and W. Ferguson, "The temperature and strain-rate dependence of the shear strength of mild steel," Philosophical Magazine, vol. 21, pp. 63-82, 1970.
[33] R. Broudy, "Dislocations and Mechanical Properties of Crystals," Journal of the American Chemical Society, vol. 80, pp. 5009-5010, 1958.
[34] H. Conrad, "Thermally activated deformation of metals," JOM, vol. 16, pp. 582-588, 1964.
[35] W. Ferguson, A. Kumar, and J. Dorn, "Dislocation damping in aluminum at high strain rates," Journal of Applied Physics, vol. 38, pp. 1863-1869, 1967.
[36]J. Campbell and A. Dowling, "The behaviour of materials subjected to dynamic incremental shear loading," Journal of the Mechanics and Physics of Solids, vol. 18, pp. 43-63, 1970.
[37]J. Campbell, "Dynamic plasticity: macroscopic and microscopic aspects," Materials Science and Engineering, vol. 12, pp. 3-21, 1973.
[38]P. Ludwik, "Elemente der Technologischen Mechanik Julius Springer," Berlin, Germany, 1909.
[39]Z. Gronostajski, "The constitutive equations for FEM analysis," Journal of Materials Processing Technology, vol. 106, pp. 40-44, 2000
[40]Y. Bai and B. Dodd, "Adiabatic Shear Localization: Occurrence, Theories and Applications, 1992," ed: Pergamon Press, Oxford.
[41] ] F. J. Zerilli and R. W. Armstrong, "The effect of dislocation drag on the stress-strain behavior of FCC metals," Acta Metallurgica et Materialia, vol. 40, pp. 1803-1808, 1992.
[42] R. Liang and A. S. Khan, "A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures," International Journal of Plasticity, vol. 15, pp. 963-980, 1999.
[43] D. Umbrello, R. M’saoubi, and J. Outeiro, "The influence of Johnson–Cook material constants on finite element simulation of machining of AISI 316L steel," International Journal of Machine Tools and Manufacture, vol. 47, pp. 462-470, 2007.
[44] L. Meyer, N. Herzig, T. Halle, F. Hahn, L. Krueger, and K. Staudhammer, "A basic approach for strain rate dependent energy conversion including heat transfer effects: An experimental and numerical study," Journal of materials processing technology, vol. 182, pp. 319-326, 2007.
[45] G. R. Johnson and W. H. Cook, "A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures," in Proceedings of the 7th International Symposium on Ballistics, 1983, pp. 541-547.
[46]U. Andrade, M. Meyers, and A. Chokshi, "Constitutive description of work-and shock-hardened copper," Scripta metallurgica et materialia, vol. 30, pp. 933-938, 1994.
[47]Y. Hao et al., "Young’s modulus and mechanical properties of Ti-29Nb-13Ta-4.6 Zr in relation to α ″martensite," Metallurgical and Materials Transactions A, vol. 33, no. 10, pp. 3137-3144, 2002.
[48] P. Castany, M.Besse T. Gloriant, "In situ TEM study od dislocation slip in a metastable beta titanium alloy," SciVerse ScienceDirect Scripta Materialia 66(2012) 371-373.
[49] S. Esmaeili, L. Cheng, A. Deschamps, D. Lloyd, and W. Poole, "The deformation behaviour of AA6111 as a function of temperature and precipitation state," Materials Science and Engineering: A, vol. 319, pp. 461-465, 2001.
[50] B. Viguier, "Dislocation densities and strain hardening rate in some intermetallic compounds," Materials Science and Engineering: A, vol. 349, no. 1-2, pp. 132-135, 2003.
[51] D. Chu and J. Morris, "The influence of microstructure on work hardening in aluminum," Acta materialia, vol. 44, no. 7, pp. 2599-2610, 1996.
[52] U. Andrade, M. Meyers, and A. Chokshi, "Constitutive description of work-and shock-hardened copper," Scripta metallurgica et materialia, vol. 30, no. 7, pp. 933-938, 1994.
[53] Junheng Gao, Yuhe Huang, Dikai Guan, Alexander J. Knowles, Le Ma, David Dye, W. Mark Rainforth, "eformation mechanisms in a metastable beta titanium twinning induced plasticity alloy with high yield strength and high strain hardening rate," Acta Materialia(2018).
[54] W.-S. Lee and C.-Y. Liu, "Comparison of dynamic compressive flow behavior of mild and medium steels over wide temperature range," Metallurgical and materials Transactions A, vol. 36, no. 11, pp. 3175-3186, 2005.
[55]C. Zener and J. Hollomon, "Effect of strain rate upon plastic flow of steel," Journal of Applied physics, vol. 15, no. 1, pp. 22-32, 1944.
[56]J. Campbell and W. Ferguson, "The temperature and strain-rate dependence of the shear strength of mild steel," Philosophical Magazine, vol. 21, no. 169, pp. 63-82, 1970.
[57]S. Nag, R. Banerjee, H.L. Fraser, "Microstructural evolution and strengthening mechanisms in Ti-Nb-Zr-Ta, Ti-Mo-Zr-Fe and Ti-15Mo biocompatible alloys." Material Science and Engineering C 25(2005) 357-362
[58]Wei Qian Song, Shoujin Sun, Suming Zhu, Gui Wang, James Wang, Matthew S. Dargusch, "Compressive deformation behavior of a near-beta titanium alloy," Materials and Design 34(2012) 739-745.
[59]R. Ham, "The determination of dislocation densities in thin films," Philosophical Magazine, vol. 6, no. 69, pp. 1183-1184, 1961.
[60]Y. Tomota, P. Lukas, S. Harjo, J. H. Park, N. Tsuchida, and D. Neov, "In situ neutron diffraction study of IF and ultra low carbon steels upon tensile deformation," Acta Materialia, vol. 51, no. 3, pp. 819-830, 2003.
[61]Luis Gracia at al., "Simulation by Finite Elements of bone Remodelling After implantation of Femoral." Engineering and Architecture Faculty, University of Zaragoza,Spain.
[62]Masatoshi OBA, MD, Yutaka Inaba, MD, PhD, Naomi Kobayashi, MD, PhD, Hiroyuki Ike, MD, Yasuhide Hirata, MD, Masamitsu Tomioka, MD, Tomoyuki Saito, MD, PhD., "Influence Of Stem Size and Canal Geometry on The Fixation of Cementless Tapered-wedge Stems: Study of Finite Element Analyses and Postoperative Bone Mineral Density Change of The Femur." Yokohama City University, Yokohama, Kanagawa, Japan.
[63]C.H. Wang, C.D. Yang, M. Liu, X.Li, P. F. Hu, A. M. Russell, G. H. Cao, "Martensitic microstructures and mechanical properties of as-quenched metastable beta-type Ti-Mo alloys," J Mater Sci(2016)51:6886-6896.
[64]M. Kassner and K. Kyle, "Taylor hardening in five power law creep of metals and class M alloys," in Nano and Microstructural Design of Advanced Materials: Elsevier, 2003, pp. 255-271.
[65]M. Kassner, "A case for Taylor hardening during primary and steady-state creep in aluminium and type 304 stainless steel," Journal of Materials Science, vol. 25, no. 4, pp. 1997-2003, 1990
[66]J. Gubicza, N. Chinh, J. Lábár, S. Dobatkin, Z. Hegedűs, and T. Langdon, "Correlation between microstructure and mechanical properties of severely deformed metals," Journal of Alloys and Compounds, vol. 483, no. 1-2, pp. 271-274, 2009.
校內:2024-07-01公開