| 研究生: |
高崇豪 Kao, Chung-Hao |
|---|---|
| 論文名稱: |
生醫鈦合金(Ti-13Nb-13Zr)在不同溫度下之撞擊特性與微觀結構分析 Impact response and microstructural evolution of Ti-13Nb-13Zr biomedical alloy under 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: | 2015 |
| 畢業學年度: | 103 |
| 語文別: | 中文 |
| 論文頁數: | 149 |
| 中文關鍵詞: | Ti-13Nb-13Zr合金 、高溫變形 、高應變速率 、α’麻田散鐵相 、差排密度 |
| 外文關鍵詞: | Ti-13Nb-13Zr alloy, high temperature deformation, high strain rate, α’ martensitic phase, dislocation density |
| 相關次數: | 點閱:84 下載:1 |
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本文主要是探討Ti-13Nb-13Zr生醫鈦合金在不同應變速率及溫度下之塑性變形行為與對應的差排結構及絕熱剪切破壞特性。利用壓縮式霍普金森桿撞擊試驗機及加熱裝置,分別於應變速率1000 s-1、2000 s-1、3000 s-1及實驗溫度25℃、650℃、800℃條件下,進行Ti-13Nb-13Zr合金之高速撞擊試驗,再利用(OM、SEM、TEM)對微觀結構進行分析。
實驗結果指出,Ti-13Nb-13Zr合金在相同溫度條件下,其塑流應力值會隨應變速率之增加而上升;在相同應變速率條件下,其塑流應力值會隨溫度之增加而下降,而應變速率敏感性係數則隨應變速率區間之增加而增加,隨溫度之增加而減少,溫度敏感性係數則隨應變速率上升或溫度降低而增加。藉由 Combine Johnson-Cook and Zerilli-Armstrong構成方程式,並加入理論溫升量修正,可精準的描述Ti-13Nb-13Zr合金於不同溫度及應變速率下的塑變行為。藉由光學顯微鏡觀測Ti-13Nb-13Zr合金,可知其α’麻田散鐵相含量及晶粒尺寸會隨著溫度與應變速率不同而有所改變。在掃描式電子顯微鏡分析上,可觀察到破壞面上不同區域會具有延性破壞組織如瘤狀物、韌窩形貌及脆性破壞組織如劈裂形貌。在穿透式電子顯微鏡則可觀測到差排密度會隨著應變速率上升和溫度降低而增加。而塑流應力值隨著差排密度、α’麻田散鐵相含量的增加及晶粒尺寸的降低有明顯增加的趨勢,其相互間的關聯性可進一步藉由一關係式,得出應力值與顯微結構之關係。
Dynamic impact response and microstructural characteristics of Ti-13Nb-13Zr alloy are investigated under strain rates ranging from 1×103 to 3×103 s−1 and different temperatures of 25ºC, 650ºC and 800ºC, respectively, using a compressive split-Hopkinson pressure bar. The results indicate that mechanical properties of Ti-13Nb-13Zr alloy are sensitive to temperature and strain rate. The flow stress, strain rate sensitivity and temperature sensitivity all increase with increasing strain rate, but decrease with increasing temperature. A Combined Johnson-Cook and Zerilli-Armstrong constitutive equation is used to describe the deformation behavior of Ti-13Nb-13Zr alloy under current tested conditions. Microstructural observations show that the dislocation density, α’ volume fraction and grain size are varied with strain rate and temperature. Based on the experimental results of mechanical properties and microstructural characteristics, it is found that the correlation between the dislocation density, α’ volume fraction, grain size and flow stress can be expressed using the general relation.
[1] M. A. Meyers, Dynamic behavior of materials: John Wiley & Sons, 1994.
[2] J. Davidson, A. Mishra, P. Kovacs, and R. Poggie, "New surface-hardened, low-modulus, corrosion-resistant Ti-13Nb-13Zr alloy for total hip arthroplasty," Bio-medical materials and engineering, vol. 4, pp. 231-243, 1994.
[3] C. Layens and M. Peters, "Titanium and titanium alloys: fundamentals and applications," ed: Wiley-VCH, 2003.
[4] 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.
[5] I. Weiss and S. Semiatin, "Thermomechanical processing of beta titanium alloys—an overview," Materials Science and Engineering: A, vol. 243, pp. 46-65, 1998.
[6] J. A. Davidson and A. K. Mishra, "Modulus of elasticity close to that of bone," ed: Google Patents, 1996.
[7] 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.
[8] B. Butcher and C. Karnes, "Strain‐Rate Effects in Metals," Journal of Applied Physics, vol. 37, pp. 402-411, 1966.
[9] F. E. Hauser, "Techniques for measuring stress-strain relations at high strain rates," Experimental Mechanics, vol. 6, pp. 395-402, 1966.
[10] 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.
[11] A. Mishra, J. Davidson, R. Poggie, P. Kovacs, and T. FitzGerald, "Mechanical and tribological properties and biocompatibility of diffusion hardened Ti-13Nb-13Zr-a new titanium alloy for surgical implants," ASTM Special Technical Publication, vol. 1272, pp. 96-116, 1996.
[12] M. Geetha, U. Kamachi Mudali, A. K. Gogia, R. Asokamani, and B. Raj, "Influence of microstructure and alloying elements on corrosion behavior of Ti–13Nb–13Zr alloy," Corrosion Science, vol. 46, pp. 877-892, 2004.
[13] M. Geetha, A. Singh, K. Muraleedharan, A. Gogia, and R. Asokamani, "Effect of thermomechanical processing on microstructure of a Ti–13Nb–13Zr alloy," Journal of Alloys and Compounds, vol. 329, pp. 264-271, 2001.
[14] C. W. Lin, C. P. Ju, and J. H. Chern Lin, "A comparison of the fatigue behavior of cast Ti-7.5Mo with c.p. titanium, Ti-6Al-4V and Ti-13Nb-13Zr alloys," Biomaterials, vol. 26, pp. 2899-2907, Jun 2005.
[15] I. Cvijović-Alagić, Z. Cvijović, S. Mitrović, V. Panić, and M. Rakin, "Wear and corrosion behaviour of Ti–13Nb–13Zr and Ti–6Al–4V alloys in simulated physiological solution," Corrosion Science, vol. 53, pp. 796-808, 2011.
[16] G. Welsch, R. Boyer, and E. Collings, Materials properties handbook: titanium alloys: ASM international, 1993.
[17] M. J. Donachie, Titanium: a technical guide: ASM international, 2000.
[18] J. Park and R. S. Lakes, Biomaterials: an introduction: Springer Science & Business Media, 2007.
[19] S. Nag and R. Banerjee, "Fundamentals of medical implant materials," ASM handbook, vol. 23, pp. 6-17, 2012.
[20] L. Elias, S. Schneider, S. Schneider, H. Silva, and F. Malvisi, "Microstructural and mechanical characterization of biomedical Ti–Nb–Zr (–Ta) alloys," Materials Science and Engineering: A, vol. 432, pp. 108-112, 2006.
[21] M. Long and H. Rack, "Titanium alloys in total joint replacement—a materials science perspective," Biomaterials, vol. 19, pp. 1621-1639, 1998.
[22] K. Wang, "The use of titanium for medical applications in the USA," Materials Science and Engineering: A, vol. 213, pp. 134-137, 1996.
[23] M. Khan, R. Williams, and D. Williams, "The corrosion behaviour of Ti–6Al–4V, Ti–6Al–7Nb and Ti–13Nb–13Zr in protein solutions," Biomaterials, vol. 20, pp. 631-637, 1999.
[24] A. Choubey, B. Basu, and R. Balasubramaniam, "Tribological behaviour of Ti-based alloys in simulated body fluid solution at fretting contacts," Materials Science and Engineering: A, vol. 379, pp. 234-239, 2004.
[25] M. Geetha, A. K. Singh, A. K. Gogia, and R. Asokamani, "Effect of thermomechanical processing on evolution of various phases in Ti–Nb–Zr alloys," Journal of Alloys and Compounds, vol. 384, pp. 131-144, 2004.
[26] U. S. Lindholm, "High strain rate tests," Techniques of metals research, vol. 5, 1971.
[27] U. Lindholm and L. Yeakley, "High strain-rate testing: tension and compression," Experimental Mechanics, vol. 8, pp. 1-9, 1968.
[28] B. Dodd, Adiabatic shear localization: occurrence, theories, and applications: Pergamon Press, 1992.
[29] J. Achenbach, Wave propagation in elastic solids: Elsevier, 2012.
[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] J. Fagbulu and O. Ajaja, "Dislocation distributions and creep mechanisms," Journal of materials science letters, vol. 6, pp. 894-896, 1987.
[32] 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.
[33] J. Campbell, "Dynamic plasticity: macroscopic and microscopic aspects," Materials Science and Engineering, vol. 12, pp. 3-21, 1973.
[34] 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.
[35] R. Broudy, "Dislocations and Mechanical Properties of Crystals," Journal of the American Chemical Society, vol. 80, pp. 5009-5010, 1958.
[36] G. E. Dieter and D. Bacon, Mechanical metallurgy vol. 3: McGraw-Hill New York, 1986.
[37] H. Conrad, "Thermally activated deformation of metals," JOM, vol. 16, pp. 582-588, 1964.
[38] 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.
[39] 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.
[40] H. C. Rogers, "Adiabatic plastic deformation," Annual Review of Materials Science, vol. 9, pp. 283-311, 1979.
[41] M. E. Backman and S. A. Finnegan, "The propagation of adiabatic shear," in Metallurgical Effects at High Strain Rates, ed: Springer, 1973, pp. 531-543.
[42] W. Johnson, Impact strength of materials: Edward Arnold London, 1972.
[43] Z. Gronostajski, "The constitutive equations for FEM analysis," Journal of Materials Processing Technology, vol. 106, pp. 40-44, 2000.
[44] 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.
[45] L. W. Meyer, N. Herzig, T. Halle, F. Hahn, L. Krueger, and K. P. 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.
[46] D. Umbrello, R. M’Saoubi, and J. C. 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.
[47] T. J. Holmquist and G. R. Johnson, "Determination of Constants and Comparison of Results for Various Constitutive Models," Le Journal de Physique IV, vol. 01, pp. C3-853-C3-860, 1991.
[48] Y. C. Lin and X.-M. Chen, "A combined Johnson–Cook and Zerilli–Armstrong model for hot compressed typical high-strength alloy steel," Computational Materials Science, vol. 49, pp. 628-633, 2010.
[49] Y. C. Lin and X.-M. Chen, "A critical review of experimental results and constitutive descriptions for metals and alloys in hot working," Materials & Design, vol. 32, pp. 1733-1759, 2011.
[50] F. J. Zerilli and R. W. Armstrong, "Dislocation‐mechanics‐based constitutive relations for material dynamics calculations," Journal of Applied Physics, vol. 61, pp. 1816-1825, 1987.
[51] F. J. Zerilli and R. W. Armstrong, "Constitutive equation for HCP metals and high strength alloy steels," High strain rate effects on polymer, metal and ceramic matrix composites and other advanced materials, pp. 121-126, 1995.
[52] F. H. Abed and G. Voyiadjis, "A consistent modified Zerilli-Armstrong flow stress model for BCC and FCC metals for elevated temperatures," Acta mechanica, vol. 175, pp. 1-18, 2005.
[53] V. Anbarasan, B. Jeya Ganesh, S. Raju, S. Murugesan, E. Mohandas, U. Kamachi Mudali, et al., "Thermal property characterization of a Ti–4wt.%Nb–4wt.%Zr alloy using drop and differential scanning calorimetry," Journal of Alloys and Compounds, vol. 463, pp. 160-167, 2008.
[54] D. Klahn, A. Mukherjee, and J. Dorn, "STRAIN-RATE EFFECTS," California Univ., Berkeley. Lawrence Radiation Lab.1970.
[55] 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.
[56] B. Viguier, "Dislocation densities and strain hardening rate in some intermetallic compounds," Materials Science and Engineering: A, vol. 349, pp. 132-135, 2003.
[57] D. Chu and J. Morris, "The influence of microstructure on work hardening in aluminum," Acta materialia, vol. 44, pp. 2599-2610, 1996.
[58] U. Andrade, M. Meyers, and A. H. Chokshi, "Constitutive description of work-and shock-hardened copper," Scripta metallurgica et materialia, vol. 30, pp. 933-938, 1994.
[59] L. Shi and D. Northwood, "The mechanical behavior of an AISI type 310 stainless steel," Acta metallurgica et materialia, vol. 43, pp. 453-460, 1995.
[60] C. Zener and J. Hollomon, "Effect of strain rate upon plastic flow of steel," Journal of Applied physics, vol. 15, pp. 22-32, 1944.
[61] A. Josephine Prabha, S. Raju, B. Jeyaganesh, A. K. Rai, M. Behera, M. Vijayalakshmi, et al., "Thermodynamics of α″→β phase transformation and heat capacity measurements in Ti–15at% Nb alloy," Physica B: Condensed Matter, vol. 406, pp. 4200-4209, 2011.
[62] R. Banerjee, S. Nag, and H. Fraser, "A novel combinatorial approach to the development of beta titanium alloys for orthopaedic implants," Materials Science and Engineering: C, vol. 25, pp. 282-289, 2005.
[63] S. Zhu, H. Yang, L. Guo, and X. Fan, "Effect of cooling rate on microstructure evolution during α/β heat treatment of TA15 titanium alloy," Materials Characterization, vol. 70, pp. 101-110, 2012.
[64] A. Shahan and A. K. Taheri, "Adiabatic shear bands in titanium and titanium alloys: a critical review," Materials & Design, vol. 14, pp. 243-250, 1993.
[65] W.-S. Lee and C.-F. Lin, "Effects of prestrain and strain rate on dynamic deformation characteristics of 304L stainless steel: Part 1—Mechanical behaviour," Materials science and technology, vol. 18, pp. 869-876, 2002.
[66] J. H. Giovanola, "Adiabatic shear banding under pure shear loading part ii: fractographic and metallographic observations," Mechanics of Materials, vol. 7, pp. 73-87, 1988.
[67] D. Moffat and D. Larbalestier, "The compctition between martensite and omega in quenched Ti-Nb alloys," Metallurgical Transactions A, vol. 19, pp. 1677-1686, 1988.
[68] R. Ham, "The determination of dislocation densities in thin films," Philosophical Magazine, vol. 6, pp. 1183-1184, 1961.
[69] 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, pp. 819-830, 2003.
[70] S.-L. Wang and L. Murr, "Effect of prestrain and stacking-fault energy on the application of the Hall-Petch relation in fcc metals and alloys," Metallography, vol. 13, pp. 203-224, 1980.
[71] C. Liang and C. Rogers, "One-dimensional thermomechanical constitutive relations for shape memory materials," Journal of intelligent material systems and structures, vol. 1, pp. 207-234, 1990.
[72] S. Semiatin and T. Bieler, "The effect of alpha platelet thickness on plastic flow during hot working of Ti–6Al–4V with a transformed microstructure," Acta Materialia, vol. 49, pp. 3565-3573, 2001.