The Modeling of Nitrogen Mass Transport in CoCr Alloys

1. Abrasonis, G., Riverie, J. P., Templier, C., Declemy, A., Pranevicius, L., & Milhet, X. (2005). Ion beam nitriding of single and polycrystalline austenitic stainless steel. Applied Physics, 97, 083531-10. DOI: 10.1063/1.1863455.10.1063/1.1863455Search in Google Scholar

2. Çelik, A., Bayrak, Ö., Alsaran, A., Kaymaz, İ., & Yetim, A.F. (2008). Effects of plasma nitriding on mechanical and tribological properties of CoCrMo alloy. Surface & Coatings Technology, 202(11), 2433–2438. DOI: 10.1016/j.surfcoat.2007.08.030.10.1016/j.surfcoat.2007.08.030Search in Google Scholar

3. Chollet, S., Pichon, L., Cormier, J., Dubois, J.B., Villechaise, P., Drouet, M., Declemy, A. & Templier, C. (2013). Plasma assisted nitriding of Ni - based superalloys with various microstructures. Surface and Coatings Technology, 235, 318 - 325. DOI: 10.1016/j.surfcoat.2013.07.060.10.1016/j.surfcoat.2013.07.060Search in Google Scholar

4. Crank, J., & Nicolson, P. (1996). A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type. Advances in Computational Mathematics, 6(1), 207 - 216. DOI: 10.1007/BF02127704.10.1007/BF02127704Search in Google Scholar

5. Ekolin, G. (1991). Finite difference methods for a nonlocal boundary value problem for the heat equation. BIT Numerical Mathematic, 31(2), 245 – 261. DOI: 10.1007/BF01931285.10.1007/BF01931285Search in Google Scholar

6. Galdikas, A., Petraitienė, A., & Moskaliovienė, T. (2015). Internal stress assisted nitrogen diffusion in plasma nitrided medical CoCr alloys. Vacuum, 119(1), 233 – 238. DOI: 10.1016/j.vacuum.2015.05.029.10.1016/j.vacuum.2015.05.029Search in Google Scholar

7. Galdikas, A. & Petraitiene, A. (2014). Modeling of nitrogen penetration in medical grade CoCrMo alloy during plasma nitriding. Materials Science (Medžiagotyra), 20(1), 25-30.10.5755/j01.ms.20.1.3458Search in Google Scholar

8. Harrison, P. (1996). Numerical solution to the general one – dimensional diffusion equation in semiconductor heterostructures. Basic solid state physics, 197(1), 81 – 90. DOI: 10.1002/pssb.2221970113.10.1002/pssb.2221970113Search in Google Scholar

9. Ichiki, R., Nagamatsu, H., Yasumatsu, Y., Iwao, T., Akamine, S., & Kanazawa, S. (2012). Nitriding of steel surface by spraying pulsed – arc plasma jet under atmospheric pressure. Materials Letters, 71, 134 – 136. DOI: 10.1016/j.matlet.2011.12.054.10.1016/j.matlet.2011.12.054Search in Google Scholar

10. Lutz, J. & Mändl, S. (2010). Reduced tribocorrosion of CoCr alloys in simulated body fluid after nitrogen insertion. Surface & Coatings Technology, 204(18-19), 3043 – 3046. DOI: 10.1016/j.surfcoat.2010.01.048.10.1016/j.surfcoat.2010.01.048Search in Google Scholar

11. Lutz, J., & Mändl, S. (2009). Effect of ion energy and chemistry on layer growth processes during nitriding of CoCr alloys. Nuclear Instruments and Methods in Physics Research B, 267(18-19), 1522–1525. DOI: 10.1016/j.nimb.2009.01.083.10.1016/j.nimb.2009.01.083Search in Google Scholar

12. Lutz, J., Lehmann, A. & Mändl, S. (2008). Nitrogen diffusion in medical CoCrNiW alloys after plasma immersion ion implantation. Surface & Coatings Technology, 202(15), 3747–37534. DOI: 10.1016/j.surfcoat.2008.01.020.10.1016/j.surfcoat.2008.01.020Search in Google Scholar

13. Lutz, J., Díaz, C., García, J. A., Blawert, C., & Mändl, S. (2011). Corrosion behavior of medical CoCr alloy after nitrogen plasma immersion ion implantation. Surface & Coatings Technology, 205(8-9), 3043–3049. DOI: 10.1016/j.surfcoat.2010.11.017.10.1016/j.surfcoat.2010.11.017Search in Google Scholar

14. Manova, D., Lutz J., Gerlach, J.W., Neumann, H., & Mändl, S. (2011). Relation between lattice expansion and nitrogen content in expanded phase in austenitic stainless steel and CoCr alloys. Surface & Coatings Technology, 205(2), S290–S293. DOI: 10.1016/j.surfcoat.2010.12.046.10.1016/j.surfcoat.2010.12.046Search in Google Scholar

15. Mändl, S., Díaz, C., Gerlach, J.W., & García, J.A. (2013). Near surface analysis of duplex PII treated CoCr alloys. Nuclear Instruments and Methods in Physics Research B, 307, 305-309. DOI: 10.1016/j.nimb.2012.11.052.10.1016/j.nimb.2012.11.052Search in Google Scholar

16. Martinavičius, A., Abrasonis, G., Möller, W., Templier, L., Rivière, J. P., Declémy, A. & Chumlyakov, Y. (2009). Anisotropic ion-enhanced diffusion during ion nitriding of single crystalline austenitic stainless steel. Journal of applied physics, 105, 093502-7. DOI: 10.1063/1.3120912.10.1063/1.3120912Search in Google Scholar

17. Mischler, S. & Munoz, A. I. (2013). Wear of CoCrMo alloys used in metal-on-metal hip joints: a tribocorrosion appraisal. Wear, 297(1), 1081-1094. DOI: 10.1016/j.wear.2012.11.061.10.1016/j.wear.2012.11.061Search in Google Scholar

18. Moskalioviene, T., Galdikas, A., Rivière, J. P., & Pichon, L. (2011). Modeling of nitrogen penetration in polycrystalline AISI 316L austenitic stainless steel during plasma nitriding. Surface & Coatings Technology, 205(10), 3301-3306. DOI: 10.1016/j.surfcoat.2010.11.060.10.1016/j.surfcoat.2010.11.060Search in Google Scholar

19. Moskalioviene, T. & Galdikas, A. (2012). Stress induced and concentration dependent diffusion of nitrogen in plasma nitride austenitic stainless steel. Vacuum, 86(10), 1552-1557. DOI: 10.1016/j.vacuum.2012.03.026.10.1016/j.vacuum.2012.03.026Search in Google Scholar

20. Möller, W., Parascandola, S., Telbizova, T., Günzel, R., & Richter, E. (2001). Surface processes and diffusion mechanisms of ion nitriding of stainless steel and aluminum. Surface and Coatings Technology. 136(1-3), 73-79. DOI: 10.1016/S0257-8972(00)01015-X.10.1016/S0257-8972(00)01015-XSearch in Google Scholar

21. Okur, S. (2009). Structural compositional and mechanical characterization of plasma nitrited CoCrMo alloy. Master of Science Thesis in Physics, İzmir Institute of Technology.Search in Google Scholar

22. Öztürk, O., Fidan, M., & Mändl, S. (2013). MFM imaging of expanded austenite formed on 304 SS and CoCrMo alloys. Surface and Coatings Technology, 256(15), 15 - 22. DOI: 10.1016/j.surfcoat.2013.11.045.10.1016/j.surfcoat.2013.11.045Search in Google Scholar

23. Öztür, O., Türkan, U., & Eroğlu, A.E. (2006). Metal ion release from nitrogen ion implanted CoCrMo orthopedic implant material. Surface & Coatings Technology, 200(20-21), 5687–5697. DOI: 10.1016/j.surfcoat.2005.08.113.10.1016/j.surfcoat.2005.08.113Search in Google Scholar

24. Öztürk, O., Okur, S., Pichon, L., Liedke, M. O., & Riviere, J. P. (2011). Magnetic layer formation on plasma nitrided CoCrMo alloy. Surface & Coating Technology, 205, 280-285. DOI: 10.1016/j.surfcoat.2011.01.047.10.1016/j.surfcoat.2011.01.047Search in Google Scholar

25. Parascandola, S., Möler, W., & Williamson, D. L. (2000). The Nitrogen Transport in Austenitic Stainless Steel at Moderate Temperatures. Applied Physics Letters, 76(16), 2194 - 2196. DOI: 10.1063/1.126294.10.1063/1.126294Search in Google Scholar

26. Pichon, L., Okur, S., Özturk, O., Riviere, J.P., & Drouet, M. (2010). CoCrMo alloy treated by floating potential plasma assisted nitriding and plasma based ion implantation: Influence of the hydrogen content and of the ion energy on the nitrogen incorporation. Surface & Coatings Technology, 204(18 – 19), 2913–2918. DOI: 10.1016/j.surfcoat.2010.01.050.10.1016/j.surfcoat.2010.01.050Search in Google Scholar

27. Stinville, J. C., Templier, C., Villechaise, P. & Pichon, L. (2011). Swelling of 316L austenitic stainless steel induced by plasma nitriding. Journal of Material Science, 46(16), 5503-5511. DOI: 10.1007/s10853-011-5494-8.10.1007/s10853-011-5494-8Search in Google Scholar

28. Sweilam, N. H., Khader, M. M., & Mahdy, A. M. S. (2012). Crank – Nicolson finite difference method for solving time – fractional diffusion equation. Journal of Fractional Calculus and Applications. 2 (2), 1 – 9.Search in Google Scholar

29. Tadjeran, C., & Meerschaert, M. M. (2007). A second – order accurate numerical method for the two – dimensional fractional diffusion equation. Journal of Computational Physics. 220(2), 813 – 823. DOI: 10.1016/j.jcp.2006.05.030.10.1016/j.jcp.2006.05.030Search in Google Scholar

30. Wang, Q., Zhang, L. & Dong, J. (2010). Effects of Plasma Nitriding on Microstructure and Tribological Properties of CoCrMo Alloy Implant Materials. Journal of Bionic Engineering, 7(4), 337–344. DOI:10.1016/S1672-6529(10)60265-X.10.1016/S1672-6529(10)60265-XSearch in Google Scholar

31. Wang, Q., Huang, C., & Zhang, L. (2012). Microstructure and Tribological Properties of Plasma Nitriding Cast CoCrMo Alloy. Juornal of Material Science Technology, 28(1), 60-66. DOI: 10.1016/S1005-0302(12)60024-3.10.1016/S1005-0302(12)60024-3Search in Google Scholar

32. Wang, Q., Zhang, L., Shen, H. (2010). Microstructure analysis of plasma nitrided cast/forged CoCrMo alloys. Surface & Coatings Technology, 205(7), 2654-2660. DOI: 10.1016/j.surfcoat.2010.10.031.10.1016/j.surfcoat.2010.10.031Search in Google Scholar