تحلیل عوامل ترمودینامیکی مؤثر بر تشکیل محلول جامد فوق اشباع نانوساختار در دستگاه آلیاژی مس-آهن با آلیاژسازی مکانیکی

مهندسی متالورژی و مواد

مقاله 2، دوره 26، شماره 2 - شماره پیاپی 12، شهریور 1394، صفحه 23-36   

نوع مقاله: علمی و پژوهشی

شناسه دیجیتال (DOI): 10.22067/ma.v26i2.29014

نویسندگان

میلاد مجتهدی^* ؛ مسعود گودرزی؛ محمدرضا ابوطالبی

علم و صنعت ایران

چکیده

در این پژوهش، عوامل ترمودینامیکی مؤثر در تشکیل محلول های غیرتعادلی در فرایند آلیاژسازی مکانیکی تحلیل شده‌اند. انرژی فصل مشترک، انحنای فصل مشترک و انرژی ذخیره شده در فاز بی‌شکل، عواملی هستند که در این پژوهش بررسی ‌شده‌اند. برای این‌منظور، ابتدا یک مدل هندسی- آماری برای تحلیل مجموعه‌های نانوساختار دوفازی ارائه شد. سپس، نمونه هایی با نسبت وزنی برابر از مس و آهن به‌روش مکانیکی آلیاژسازی شدند و نتایج بررسی های عملی XRD و TEM با مدل سازی انجام شده ادغام شدند. به این ترتیبت، عوامل فوق‌الذکر در دستگاه آلیاژی مس- آهن تحلیل و مقایسه شدند. نشان داده شد که مقدار بالای حد حلالیّت در این دستگاه، با تشکیل مداوم مناطق چند نانومتری بی‌شکل و تبدیل آن‌ها به محلول جامد امکان‌پذیر است.

کلیدواژه‌ها

آلیاژسازی مکانیکی؛ ترمودینامیک؛ محلول جامد فوق اشباع؛ فصل مشترک؛ فاز آمورف

مراجع

Suryanarayana, C., "Mechanical alloying and milling", Marcel Dekker, New York, (2004).

2. Schwarz, R.B., Petrich, R.R. and Saw, C.K., "The synthesis of amorphous NiTi alloy powders by mechanical alloying", Journal of Non-Crystalline Solids, Vol 76, pp. 281-302, (1985).

3. Suryanarayana, C. and Froes, F.H., "Nanocrystalline titanium-magnesium alloys through mechanical alloying", Journal of Materials Research, Vol 5, pp. 1880-1886, (1990).

4. Yavari, A.R., Desre, P.J. and Benameur, T., "Mechanically driven alloying of immiscible elements", Physical Review Letters, Vol 68, pp. 2235-2238, (1992).

5. Dorofeev, G.A. and Elsukov, E.P., "Thermodynamic modeling of mechanical alloying in the Fe-Sn system", Inorganic Materials, Vol 36, pp. 1228-1234, (2000).

6. Dorofeev, G.A., Yelsukov, E. P., Ulyanov, A. L. and Konygin, G. N., "Thermodynamic simulation of mechanically alloyed solid solution formation in Fe-Sn system", Proceedings of the Materials Science Forum, Vol 343, pp. 585-590, Trans Tech Publ, (2000).

7. Kaloshkin, S., "Thermodynamic description of the phase transformation mechanism during mechanical alloying process", Proceedings of the Materials Science Forum, Vol 343, pp. 591-596, Trans Tech Publ, (2000).

8. Aguilar, C., Martinez, V., Navea, L., Pavez, O. and Santander, M., "Thermodynamic analysis of the change of solid solubility in a binary system processed by mechanical alloying", Journal of Alloys and Compounds, Vol 471, pp. 336-340, (2009).

9. Aguilar, C., Martinez, V. P., Palacios, J. M., Ordoñez, S., Pavez, O., "A thermodynamic approach to energy storage on mechanical alloying of the Cu-Cr system". Scripta Materialia, Vol 57, pp. 213-216, (2007).

10. Sheibani, S., Heshmati-Manesh, S. and Ataie, A., "Structural investigation on nano-crystalline Cu-Cr supersaturated solid solution prepared by mechanical alloying", Journal of Alloys and Compounds, Vol 495 pp. 59-62, (2010).

11. Mula, S., Bahmanpour, H., Mal, S., Kang, P. C., Atwater, M., Jian, W., Scattergood, R. O. and Koch, C. C., "Thermodynamic feasibility of solid solubility extension of Nb in Cu and their thermal stability", Materials Science and Engineering A, Vol 539, pp. 330-336 (2012).

12. Xi, S., Zuo, K., Li, X., Ran, G. and Zhou, J., "Study on the solid solubility extension of Mo in Cu by mechanical alloying Cu with amorphous Cr(Mo)". Acta Materialia, Vol 56, pp. 6050-6060, (2008).

13. Sheibani, S., Heshmati-Manesh, S. and Ataie, A., "Influence of Al2O3 nanoparticles on solubility extension of Cr in Cu by mechanical alloying", Acta Materialia, Vol 58, pp. 6828–6834, (2010).

14. Shi, K., Shen, T., Xue, L., Chen, C. and Yan, Y., "Thermodynamic analysis of the extension of solid solubility of the Cu-Cr system processed by mechanical alloying", Advanced Materials Research, Vol 311-313, pp. 392-39, (2011).

15. Huang, J.Y., He, A. Q., Wu, Y. K., Ye, H. Q. and Li, D. X., "Structure evolution in the Cu-Fe system during mechanical alloying", Journal of Materials Science, Vol 31, pp. 4165-4169, (1996).

16. Yang, Y., Ma, X. and Dong, Y., "Extension of Solid Solubility by Mechanical Alloying in Fe-Cu System", Acta Metallurgica Sinica-Chinese Edition, Vol 28, pp. 403-403 (1992).

17. Huang, X. and Mashimo, T., "Metastable BCC and FCC alloy bulk bodies in Fe-Cu system prepared by mechanical alloying and shock compression", Journal of Alloys and Compounds, Vol 288, pp. 299-305, (1999).

18. Caglioti, G., Paoletti, A. and Ricci, F.P., "Choice of collimators for a crystal spectrometer for neutron diffraction", Nuclear Instruments, Vol 3, pp. 223-228 (1958).

19. Halder, N.C. and Wagner, C.N.J., "Separation of particle size and lattice strain in integral breadth measurements", Acta Crystallographica, Vol 20, pp. 312-313, (1966).

20. Langford, J.I. and Wilson, A.J.C.,"Scherrer after sixty years: A survey and some new results in the determination of crystallite size", J. Appl. Cryst., Vol 11, p p. 102-113,(1978).

21. Williamson, G.K. and Hall, W.H.,"X-ray line broadening from filed aluminium and wolfram", Acta Metallurgica, Vol 1, pp. 22-31,(1953).

22. Rietveld, H.M., "Line profiles of neutron powder-diffraction peaks for structure refinement", Acta Crystallographica, Vol 22. pp. 151-152,(1967).

23. de Keijser, T., Mittemeijer, E.J. and Rozendaal, H.C.F.,"The determination of crystallite-size and lattice-strain parameters in conjunction with the profile-refinement method for the determination of crystal structures", Journal of Applied Crystallography, Vol 16, p. 309-316,(1983).

24. Gaskell, D.R., "Introduction to the Thermodynamics of Materials", Taylor & Francis Group, (2003).

25. Loeff, P.I., Weeber, A.W. and Miedema, A.R., "Diagrams of formation enthalpies of amorphous alloys in comparison with the crystalline solid solution", Journal of the Less Common Metals, Vol 140, pp. 299-305, (1988).

26. Miedema, A., De Chatel, P. and De Boer, F., "Cohesion in alloys-fundamentals of a semi-empirical model", Physica B+C, Vol 100, pp. 1-28, (1980).

27. Bakker, H., Zhou, G. and Yang, H., "Mechanically driven disorder and phase transformations in alloys", Progr. Mater. Science, Vol 39, pp. 159-241 (1995).

28. Turchanin, M.A., Agraval, P.G. and Nikolaenko, I.V.,"Thermodynamics of alloys and phase equilibria in the copper-iron system", Journal of Phase Equilibria, Vol 24, pp. 307-319, (2003).

29. Mohamed, F.A., "A dislocation model for the minimum grain size obtainable by milling.", Acta Materialia,. Vol 51, pp. 4107-4119 (2003).

30. Zhao, Y.H., "Thermodynamic model for solid-state amorphization of pure elements by mechanical-milling", Journal of Non-Crystalline Solids, Vol 352, pp. 5578-5585, (2006).

31. Mojtahedi, M., Goodarzi, M., Aboutalebi, M. R., Ghaffari, M. and Soleimanian, V., "Investigation on the formation of Cu–Fe nano crystalline super-saturated solid solution developed by mechanical alloying", Journal of Alloys and Compounds, Vol 550, pp. 380-388 (2013).

32. Li, M. and Xu, T., "Topological and atomic scale characterization of grain boundary networks in polycrystalline and nanocrystalline materials", Progress in Materials Science, Vol 56, pp. 864-899 (2011).

33. Kuwano, H., Ouyang, H. and Fultz, B., "A Mössbauer spectrometry study of nanophase Cr-Fe synthesized by mechanical alloying: A measurement of grain boundary width", Nanostructured Materials, Vol 1, pp. 143-148, (1992).

34. Fultz, B. and Frase, H.N., "Grain boundaries of nanocrystalline materials - Their widths, compositions, and internal structures", Hyperfine Interactions, Vol 130, pp. 81-108 (2000).

35. Cahn, R.W. and Haasen, P., "Physical metallurgy" 4th ed. Vol. 1, North-Holland, (1996).

36. Chen, Q. and Jin, Z., "The Fe-Cu system: A thermodynamic evaluation", Metallurgical and Materials Transactions A, Vol 26, pp. 417-426, (1995).

37. Turchanin, M., "Thermodynamics of Liquid Alloys, and Stable and Metastable Phase Equilibria in the Copper-Iron System", Powder Metallurgy and Metal Ceramics, Vol 40, pp. 337-353, (2001).

38. Kaufman, L., "Coupled phase diagrams and thermochemical data for transition metal binary systems-III", Calphad, Vol 2, pp. 117-146, (1978).

39. Salje, G. and Feller-Kniepmeier, M., "The diffusion and solubility of copper in iron", Journal of Applied Physics, Vol 48, pp. 1833-1839, (1977).

40. Perez, M., Perrard, F., Massardier, V., Kleber, X., Deschamps, A., De Monestrol, H., Pareige, P and Covarel, G., "Low-temperature solubility of copper in iron: experimental study using thermoelectric power, small angle X-rayscattering and tomographic atom probe", Philosophical Magazine, Vol 85, pp. 2197-2210, (2005).

41. Salje, G. and Feller‐Kniepmeier, M., "The diffusion and solubility of iron in copper", Journal of Applied Physics, Vol 49, pp. 229-232 (1978).

42. Jiang, J.Z., Gente, C. and Bormann, R., "Mechanical alloying in the Fe-Cu system", Materials Science and Engineering A, Vol 242, pp. 268-277, (1998).

43. He, L. and Ma, E. "Processing and microhardness of bulk Cu-Fe nanocomposites", Nanostructured Materials, Vol 7, pp. 327-339 (1996).

44. Huang, J.Y., Yu, Y. D., Wu, Y. K., Li, D. X. and Ye, H. Q., "Microstructure and nanoscale composition analysis of the mechanical alloying of FexCu100 − x(X = 16, 60)", Acta Materialia, Vol.45, pp. 113-124, (1997).