Evaluation of the effective diffusion coefficient of boron in the Fe2B phase in the presence of chemical stresses
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Zahra Nait Abdellah
, Mourad Keddam and Abdelhamid Elias
Abstract
In this work, the effective diffusion coefficient of boron in the Fe2B phase was evaluated by considering the effect of chemical stresses in the case of paste-boriding of AISI 4140 steel. Two kinetic approaches were proposed to evaluate the diffusion coefficient of boron in the Fe2B phase in the temperature range of 1 123–1 273 K, and considering the effect of the boride incubation times. By applying the mass balance equation at the (Fe2B/substrate) interface and the theory of elasticity, it is possible to determine the effective diffusion coefficient of boron in the Fe2B phase. The obtained value of activation energy of boron diffusion in the presence of chemical stresses was estimated as 158.78 kJ mol−1 using the experimental parabolic growth constants taken from the literature. In addition, the simulated values of effective diffusion coefficients of boron in the Fe2B phase are found to be sensitive to the change in the boriding temperature and to the increase in the upper boron content in the Fe2B phase within its composition range
References
[1] A.K.Sinha: J. Heat Treat.4 (1991) 437.Search in Google Scholar
[2] I.Campos-Silva, M.Ortiz-Domínguez, H.Cimenoglu, R.Escobar-Galindo, M.Keddam, M.Elías-Espinosa, N.López-Perrusquia: Surface Engineering27 (2011) 189.Search in Google Scholar
[3] M.Ortiz-Domínguez, I.Campos-Silva, E.Hernández-Sánchez, J.L.Nava-Sánchez, Martínez-Trinidad, M.Y.Jiménez-Reyes, O.Damián-Mejía: Int. J. Mater. Res.102 (2011) 429.Search in Google Scholar
[4] I.Campos-Silva, M.Ortiz-Domínguez, N.López-Perrusquia, A.Meneses-Amador, R.Escobar-Galindo, J.Martínez-Trinidad: Appl. Surf. Sci.256 (2010) 2372. 10.1016/j.apsusc.2009.10.070Search in Google Scholar
[5] J.C.M.Li: Metall. Trans. A9 (1978) 1353. 10.1007/BF02661808Search in Google Scholar
[6] S.Prussin: J. Appl. Phys.32 (1961) 1876. 10.1063/1.1728256Search in Google Scholar
[7] A.Galdikas, T.Moskalioviene: Surf. Coat. Technol.205 (2011) 3742. 10.1016/j.surfcoat.2011.01.040Search in Google Scholar
[8] L.G.Yu, X.J.Chen, K.A.Khor: Acta Mater.53 (2005) 2361. 10.1016/j.actamat.2005.01.043Search in Google Scholar
[9] M.Keddam, R.Chegroune: Applied Surf. Sci.256 (2010) 5025. 10.1016/j.apsusc.2010.03.048Search in Google Scholar
[10] J.Crank: The Mathematics of Diffusion, Second Edition, Oxford University Press, UK (1999).Search in Google Scholar
[11] I.Campos-Silva, M.Ortiz-Domínguez, O.Bravo-Bárcenas, M.A.Donu-Ruiz, D.Bravo-Bárcenas, C.Tapia-Quintero, M.Y.Jiménez-Reyes: Surf. Coat. Technol.205 (2010) 403. 10.1016/j.surfcoat.2010.06.068Search in Google Scholar
[12] C.M.Brakman, A.J.W.Gommers, E.J.Mittemeijer: J. Mater. Res.4 (1989) 1354. 10.1557/JMR.1989.1354Search in Google Scholar
[13] W.H.Press, B.P.Flannery, S.A.Teukolsky: Numerical recipes in Pascal: the art of scientific computing, Cambridge University (1989).Search in Google Scholar
[14] S.P.Timoshenko, J.N.Goodier: Theory of Elasticity, Third Edition, McGraw-Hill, New York (1970).Search in Google Scholar
[15] I.N.Frantzevich, F.F.Voronov, S.A.Bakuta: Elastic contants and elastic modulus for metals and non-metals: Handbook, First Ed. Naukova Dumka Press, Kiev (1982).Search in Google Scholar
[16] D.Golanski, A.Marczuk, T.Wierzchon: J. Mater. Sci. Lett.14 (1995) 1499. 10.1007/BF00633142Search in Google Scholar
[17] M.Ortiz-Domínguez, E.Hernandez-Sanchez, J.Martínez-Trinidad, M.Keddam, I.Campos-Silva: Kovove Mater.48 (2010) 1.Search in Google Scholar
[18] K.Genel: Vacuum80 (2006) 451. 10.1016/j.vacuum.2005.07.013Search in Google Scholar
[19] I.Uslu, H.Comert, M.Ipek, F.G.Celebi, O.Ozdemir, C.Bindal: Mater. Design28 (2007) 1819. 10.1016/j.matdes.2006.04.019Search in Google Scholar
[20] O.Celik, N.Aydinbeyli, H.Gasan: Prakt. Metallogr.45 (2008) 334.Search in Google Scholar
[21] S.Sen, U.Sen, C.Bindal: Vacuum77 (2005) 195. 10.1016/j.vacuum.2004.09.005Search in Google Scholar
[22] I.Campos, O.Bautista, G.Ramirez, M.Islas, J.De La Parra, L.Zuniga: Appl. Surf. Sci.243 (2005) 429. 10.1016/j.apsusc.2004.09.099Search in Google Scholar
© 2013, Carl Hanser Verlag, München
Articles in the same Issue
- Contents
- Contents
- Original Contributions
- The thermodynamics of boron extraction from liquid silicon using SiO2–CaO–MgO slag treatment
- Viscosity estimation of semi-solid alloys based on thermal simulation compression tests
- Original Contributions
- Experimental study of phase equilibria in the “SnO”–CaO–SiO2 system in equilibrium with tin metal
- Prediction of the solidification path of Al-4.37Cu-27.02Mg ternary eutectic alloy with a unified microsegregation model coupled with Thermo-Calc
- Evaluation of the effective diffusion coefficient of boron in the Fe2B phase in the presence of chemical stresses
- Morphology evolution of γ′ precipitates in GTD-111 Ni-based superalloy with heat treatment parameters
- Hot forming of a new steel used in stamping dies and tooling
- Mechanical properties and corrosion behaviour of freestanding, precipitate-free magnesium WE43 thin films
- Sliding wear performance of Fe-, Ni- and Co-based hardfacing alloys for PTA cladding
- The suitability of selected austenitic stainless steels and hastelloy C276 alloys as substrates for thin film deposition using spray pyrolysis
- Synthesis, structural, optical and thermal analysis of nanostructured ZnO
- Electrical conductivity variation of (Bi2Te3)0.25(Sb2Te3)0.75 crystal grown using the zone melting method
- X-ray Absorption Near Edge Structure Studies of Pb1-xMnxTe(In, Ga) Systems
- DGM News
- DGM News
- Grain refining of aluminium alloys and silicon by means of boron-nitride particles
Articles in the same Issue
- Contents
- Contents
- Original Contributions
- The thermodynamics of boron extraction from liquid silicon using SiO2–CaO–MgO slag treatment
- Viscosity estimation of semi-solid alloys based on thermal simulation compression tests
- Original Contributions
- Experimental study of phase equilibria in the “SnO”–CaO–SiO2 system in equilibrium with tin metal
- Prediction of the solidification path of Al-4.37Cu-27.02Mg ternary eutectic alloy with a unified microsegregation model coupled with Thermo-Calc
- Evaluation of the effective diffusion coefficient of boron in the Fe2B phase in the presence of chemical stresses
- Morphology evolution of γ′ precipitates in GTD-111 Ni-based superalloy with heat treatment parameters
- Hot forming of a new steel used in stamping dies and tooling
- Mechanical properties and corrosion behaviour of freestanding, precipitate-free magnesium WE43 thin films
- Sliding wear performance of Fe-, Ni- and Co-based hardfacing alloys for PTA cladding
- The suitability of selected austenitic stainless steels and hastelloy C276 alloys as substrates for thin film deposition using spray pyrolysis
- Synthesis, structural, optical and thermal analysis of nanostructured ZnO
- Electrical conductivity variation of (Bi2Te3)0.25(Sb2Te3)0.75 crystal grown using the zone melting method
- X-ray Absorption Near Edge Structure Studies of Pb1-xMnxTe(In, Ga) Systems
- DGM News
- DGM News
- Grain refining of aluminium alloys and silicon by means of boron-nitride particles