The Components and Phases of Systems ‘Boron-Iron’ and ‘Boron-Carbon-Iron’

Krukovich, M. G.; Prusakov, B. A.; Sizov, I. G.

doi:10.1007/978-3-319-40012-9_3

Cited by 8 publications

(12 citation statements)

References 11 publications

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“…The concentration values considered for both limits are because the Fe 2 B phase exhibits a very narrow concentration range (of about 1 at.% B), as reported by Brakman et al [ 24 ]. The term

(=35 × 10 −4 wt.% B) represents the solubility limit of boron within the substrate, which can be neglected [ 25 , 26 ].

establishes the adsorbed boron concentration at the substrate surface [ 27 ].…”

Section: Methodsmentioning

confidence: 99%

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

et al. 2022

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Hard-coated surfacing of a few micrometers is widely applied to increase the efficiency of tools, e.g., for cutting, forming, and casting applications. Therefore, the base thermodiffusion surface treatment is a practical solution to these issues by hardening surface layers with interstitial elements such as carbon, nitrogen, and boron. In particular, within this study, the growth kinetics of an iron boride layer on ASTM 283 steel were investigated with two diffusion models of the powder-pack boriding technique in the temperature range of 1123–1273 K with different treatment periods. The first model, called the steady-state diffusion model, used the modified version of the mass balance equations at the Fe2B/substrate growth interface, the parabolic growth law, and the solution of Fick’s second law without time dependence. At the same time, the second diffusion model was based on Goodman’s method, also called the integral heat balance method. Afterward, the diffusion coefficient of boron in the Fe2B phase was calculated by fitting the experimental data to the models. Nevertheless, the estimated value for the activation energy of ASTM A238 steel in both diffusion models was coincident (168.2 kJ∙mol−1). A mathematical analysis was implemented by means of a power series (Taylor series) to explain this similarity. The SEM examinations showed a solid tendency to saw-tooth morphology at the growth interface with the formation of the Fe2B layer, whose presence was verified by XRD analysis. The tribological characterizations, including the tests of Rockwell-C indentation, pin-on-disc, and Vickers hardness test method, were used to analyze the antiwear features of the Fe2B layers. Finally, this value of energy was compared to the literature for its experimental validation.

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“…The concentration values considered for both limits are because the Fe 2 B phase exhibits a very narrow concentration range (of about 1 at.% B), as reported by Brakman et al [ 24 ]. The term

(=35 × 10 −4 wt.% B) represents the solubility limit of boron within the substrate, which can be neglected [ 25 , 26 ].

establishes the adsorbed boron concentration at the substrate surface [ 27 ].…”

Section: Methodsmentioning

confidence: 99%

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

et al. 2022

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“…The term C ads denotes the adsorbed boron concentration at the material surface [28]. C 0 is the solubility limit of boron within the material substrate which can be neglected (0 wt.%) [29,30]. The following assumptions considered during the establishment of diffusion model can be found elsewhere [23][24][25].…”

Section: The Integral Methodsmentioning

confidence: 99%

Analysis of the growth kinetics of Fe2B layers by the integral method

Кеддам¹,

Kulka

2018

J min metall B Metall

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In this study, an alternative approach based on the integral method was proposed to estimate the values of boron diffusion coefficients in the Fe 2 B layers grown at the surface of Armco iron. The set of differential algebraic equations (DAE) system was obtained to estimate the value of activation energy for boron diffusion when pack-boriding of Armco iron in the range of 1123 to 1273 K taking into account the boride incubation time. The present model has been validated by making a comparison between the experimental value of Fe 2 B layer thickness obtained at 1253 K for 5 h and the predicted results by using two different approaches. A good agreement was observed between these two set of data.

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“…C ads denotes the absorbed boron concentration at material surface [10]. C 0 is the solubility limit of boron within the material substrate which can be neglected (≈ 0 wt.%) [25,26].…”

Section: Modelmentioning

confidence: 99%

“…Using the equation ( 15), the growth rate constant k was calculated based on the experimental data of the layer thickness u and treatment time t. (25) where n denotes the number of experiments at each temperature, T is the boriding temperature and for each experiment i = 2 h, 4 h, 6 h... as in our data for example.…”

Section: Extracting Growth Rate Constantsmentioning

confidence: 99%

Impact of the diffusion coefficient calculation on predicting Fe₂B boride layer thickness

Mebarek

Кеддам

2022

Koroze a Ochrana Materialu

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In this study, a single-phase boride layer thickness Fe2B is predicted on two different substrates (Armco iron and XC38 steel) by following the integral method. This method is a mathematical model based on a system of differential algebraic equations that help to deduce the diffusion coefficient, which is the key factor on predicting the layer thickness. Literatures cover different diffusion coefficients for each substrate, albeit researchers usually extract from experimental data, variations of growth rate constants within only one time treatment and deduce the diffusion coefficient from them. This deduction is done via an estimation of a frequency factor and an activation energy from the growth rate constants. Therefore, our main aim is to illustrate the impact of the deduction of the diffusion coefficient on predicting the boride layer thickness. Lastly, the impact with and without incubation time on the boriding kinetics of both substrates was also examined.

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The Components and Phases of Systems ‘Boron-Iron’ and ‘Boron-Carbon-Iron’

Cited by 8 publications

References 11 publications

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

Analysis of the growth kinetics of Fe2B layers by the integral method

Impact of the diffusion coefficient calculation on predicting Fe₂B boride layer thickness

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The Components and Phases of Systems ‘Boron-Iron’ and ‘Boron-Carbon-Iron’

Cited by 8 publications

References 11 publications

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

Comparison and Analysis of Diffusion Models: Growth Kinetics of Diiron Boride Layers on ASTM A283 Steel

Analysis of the growth kinetics of Fe2B layers by the integral method

Impact of the diffusion coefficient calculation on predicting Fe2B boride layer thickness

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Impact of the diffusion coefficient calculation on predicting Fe₂B boride layer thickness