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Prediction of Solute Concentration Profiles for Discontinuous Dissolution

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Published/Copyright: December 1, 2021
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 88 Issue 5

Abstract

The applicability of the Tu –Turnbull and Zieba–Paw-lowski diffusion models of discontinuous dissolution have been considered. The simulation procedure applied to the Ni-1.4 at.%. In alloy has shown a much better applicability of the Zieba –Pawlowski model than the Tu–Turn-bull model for the prediction of the In concentration profiles left behind the receding reaction front. This comes from the fact that in the Tu –Turnbull model the same ratio between migration velocity and grain boundary diffusivity is assumed for both discontinuous precipitation and dissolution processes. This is only true when the difference between temperatures of discontinuous precipitation and subsequent discontinuous dissolution is relatively small. It has also been shown that the results of simulation become better with an increase of the residual supersaturation of the depleted α lamellae as well as with an increase of the characteristic solute concentration left at the places where the β lamellae have just been dissolved.

Abstract

Die Anwendbarkeit der Diffusionsmodelle von Tu und Turnbull sowie Zieba und Pawlowski für den Prozeß der diskontinuierlichen Auflösung wurde geprüft. Die Simulation wurde für die Legierung Ni-1,4 At.-% In durchgeführt. Das Modell von Zieba und Pawlowski beschreibt den Verlauf der In-Konzentration in den aufgelösten α-Lamellen besser als das Modell von Tu und Turnbull. Dies liegt daran, daß im Modell von Tu und Turnbull für die diskontinuierliche Ausscheidung und Auflösung ein konstantes Verhältnis aus Wanderungsgeschwindigkeit und Korngrenzen-diffusivität angenommen wird. Dies trifft jedoch nur zu, wenn die Temperaturen für diskontinuierliche Ausscheidung und nachfolgende diskontinuierliche Auflösung nahe beieinanderliegen. Ferner wurde gezeigt, daß die Simulationsergebnisse besser sind, wenn die zurückbleibende Übersättigung der entleerten α-Lamellen und die charakteristische Konzentration an den Stellen der aufgelösten β-Lamellen relativ hoch sind.

P. Zieba Institute of Materials Science, Polish Academy of Sciences, 30-059 Cracow, Reymonta 25, Poland.
Djamel Bradai Université des Sciences et de la Technologie Houari Boumediene, Institute de Physique, El-Alia B.P. 32, Dar-el-Beida, 16111 Alger, Algeria
W. Gust Institut für Metallkunde, Universität Stuttgart, Seestr. 75, D-70174 Stuttgart, Germany

Literatur

1 Tu, K. N.; Turnbull, D. B.: Metall. Trans. A 2 (1971) 2509.10.1007/BF02814889Search in Google Scholar

2 Zieba, P.; Morgiel, J.: Scripta Metall. Mater. 30 (1994) 1177.10.1016/0956-716X(94)90335-2Search in Google Scholar

3 Zieba, P.; Pawlowski, A.: Mater. Sci. Eng. A 187 (1994) 57.10.1016/0921-5093(94)90331-XSearch in Google Scholar

4 Zieba, P.; Pawlowski, A.: Scripta Metall. 20 (1986) 1653.10.1016/0036-9748(86)90263-2Search in Google Scholar

5 Chuang, T. H.: „Untersuchungen zur diskontinuierlichen Ausscheidung und Auflösung in den Systemen Ni–In, Ni–Sn, Cu–In und Cu–Sb“, Dissertation, University of Stuttgart (1983).Search in Google Scholar

6 Zieba, P.: Role of Chemical Composition Changes in Discontinuous Phase Transformations, Scientific Bulletin of Silesian Technological University, Issue 1345, Metallurgy Series No. 51, Gli-wice (1996).Search in Google Scholar

7 Cahn, J. W.: Acta Metall. 7 (1959) 18.10.1016/0001-6160(59)90164-6Search in Google Scholar

8 Zieba, P.; Pawlowski, A.: Proc. VIIIth Conf. on Electron Microscopy in Solid State, Wroclaw-Szklarska Poreba, 20–23 April 1993, p. 213.Search in Google Scholar

9 Zieba, P.: Arch. Metallurgy 40 (1995) 131.Search in Google Scholar

10 Porter, D. A.; Edington, I. W.: Proc. Royal Soc. A 358 (1977) 335.Search in Google Scholar

11 Zieba, P.; Cliff, G.; Lorimer, G. W.: Acta Mater. 45 (1997) in press.10.1016/S1359-6454(96)00319-9Search in Google Scholar

12 Zieba, P.; Pawlowski, A.: Z. Metallkd. 86 (1995) 256.Search in Google Scholar

13 Zieba, P.; Pawlowski, A.. Arch. Metallurgy 41 (1996) 365.Search in Google Scholar
Received: 1996-12-09
Published Online: 2021-12-01

© 1997 Carl Hanser Verlag, München

Articles in the same Issue

  1. Frontmatter
  2. Aufsätze
  3. Gradient Materials: An Overview of a Novel Concept
  4. On the Systematics of Phase Equilibria in Complex Magnesium-Rare Earth Systems: Gd–Y–Mg System
  5. Discussion of the Al–Co Phase Diagram
  6. Phase Equilibria in the Al-rich Portion of the Ternary System Co– Ni –Al at 75 and 78 at.% Al
  7. Phases and Phase Equilibria in the Quaternary System Ti –Cu–Al –N at 850 °C
  8. Atom Probe Analysis of the First Stage of Tempering of Iron–Carbon–Nitrogen Martensite
  9. Deformation Behaviour and Two-way Shape Memory Effect of NiTi Alloys
  10. Physical Interpretation of a Viscoplastic Model Applied to High Temperature Performance of a Nickel-base Superalloy
  11. Prediction of Solute Concentration Profiles for Discontinuous Dissolution
  12. Interdiffusion in the Ti-rich Phases of the Ti – Al System
  13. Interdiffusion Studies in the System MgO–FeO
  14. Crystallization of MgO–B2O3–SiO2 Slag Observed by In Situ TEM
  15. Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
  16. Personen
  17. Buchbesprechungen
  18. P. Gümpel: Rostfreie Stähle
  19. Terminkalender
https://doi.org/10.3139/ijmr-1997-0074

Articles in the same Issue

  1. Frontmatter
  2. Aufsätze
  3. Gradient Materials: An Overview of a Novel Concept
  4. On the Systematics of Phase Equilibria in Complex Magnesium-Rare Earth Systems: Gd–Y–Mg System
  5. Discussion of the Al–Co Phase Diagram
  6. Phase Equilibria in the Al-rich Portion of the Ternary System Co– Ni –Al at 75 and 78 at.% Al
  7. Phases and Phase Equilibria in the Quaternary System Ti –Cu–Al –N at 850 °C
  8. Atom Probe Analysis of the First Stage of Tempering of Iron–Carbon–Nitrogen Martensite
  9. Deformation Behaviour and Two-way Shape Memory Effect of NiTi Alloys
  10. Physical Interpretation of a Viscoplastic Model Applied to High Temperature Performance of a Nickel-base Superalloy
  11. Prediction of Solute Concentration Profiles for Discontinuous Dissolution
  12. Interdiffusion in the Ti-rich Phases of the Ti – Al System
  13. Interdiffusion Studies in the System MgO–FeO
  14. Crystallization of MgO–B2O3–SiO2 Slag Observed by In Situ TEM
  15. Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
  16. Personen
  17. Buchbesprechungen
  18. P. Gümpel: Rostfreie Stähle
  19. Terminkalender
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