journal article·2018-02Open access

Kinetics of vacancy annealing upon time-linear heating applied to dilatometry

R. Enzinger, Chr. Neubauer, J. Kotzurek, W. Sprengel, R. Würschum

Journal of Materials Science· Volume 53· Issue 4

Abstract

A kinetic model for the diffusion-controlled annealing of excess vacancies under the experimentally relevant, non-isothermal condition of time-linear heating is presented and applied to dilatometry. The evolution of the vacancy concentration with time is quantitatively analyzed, considering as ideal sinks either dislocations or grain boundaries of spherical- or cylindrical-shaped crystallites. The validity of the model is tested using dilatometry data that were obtained for ultrafine-grained Ni prepared by high-pressure torsion. The entire two-stage annealing curve of the dilatometric length change can be analyzed by combining the present kinetic model of vacancy annealing at grain boundaries with established non-isothermal kinetics of recrystallization.
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Research context

OpenAlex topics: Microstructure and mechanical properties · Microstructure and Mechanical Properties of Steels · High Temperature Alloys and Creep

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References (19)

Show source-provided references
1. Sprengel W, Oberdorfer B, Steyskal EM, Würschum R (2012) Dilatometry—a powerful tool for the study of defects in ultrafine-grained metals. J Mater Sci 47:7921–7925. doi: 10.1007/s10853-012-6460-910.1007/s10853-012-6460-9 ↗
2. Steyskal EM, Oberdorfer B, Sprengel W, Zehetbauer M, Pippan R, Würschum R (2012) Direct experimental determination of grain boundary excess volume in metals. Phys Rev Lett 108:05550410.1103/PhysRevLett.108.055504 ↗
3. Oberdorfer B, Setman D, Steyskal EM, Hohenwarter A, Sprengel W, Zehetbauer M, Pippan R, Würschum R (2014) Grain boundary excess volume and defect annealing of copper after high-pressure torsion. Acta Mater 68:189–19510.1016/j.actamat.2013.12.036 ↗
4. Kotzurek J, Steyskal EM, Oberdorfer B, Hohenwarter A, Pippan R, Sprengel W, Würschum R (2016) Direct measurement of vacancy relaxation by dilatometry. Appl Phys Lett 109:02190610.1063/1.4958895 ↗
5. Kotzurek J, Sprengel W, Krystian M, Simic S, Pölt P, Hohenwarter A, Pippan R, Würschum R (2017) Structural anisotropy in equal-channel angular extruded nickel revealed by dilatometric study of excess volume. Int J Mater Res (formerly Z Metallkd) 108:81–8810.3139/146.111463 ↗
6. Henderson DW (1979) Thermal analysis of non-isothermal crystallization kinetics in glass forming liquids. J Non Cryst Solids 30:301–31510.1016/0022-3093(79)90169-8 ↗
7. Louis E, Garcia-Cordovilla C (1984) On the determination of kinetic parameters through the peak temperature method for differential scanning calorimetry. J Therm Anal 29:1139–115010.1007/BF02188867 ↗
8. Oberdorfer B, Steyskal EM, Sprengel W, Pippan R, Zehetbauer M, Puff W, Würschum R (2011) Recrystallization kinetics of ultrafine-grained Ni studied by dilatometry. J Alloys Comp 509:S309–S31110.1016/j.jallcom.2010.12.130 ↗
9. Ozawa T (1973) Non-isothermal kinetics of diffusion and its application to thermal analysis. J Therm Anal 5:563–57610.1007/BF01904085 ↗
10. Seidman DN, Balluffi RW (1965) Sources of thermally generated vacancies in single-crystal and polycrystalline gold. Phys Rev 139:A1824–A184010.1103/PhysRev.139.A1824 ↗
11. Fischer F, Svoboda J, Appel F, Kozeschnik E (2011) Modeling of excess vacancy annihilation at different types of sinks. Acta Mater 59:3463–347210.1016/j.actamat.2011.02.020 ↗
12. Carslaw HS, Jaeger JC (1986) Conduction of heat in solids. Clarendon Press, Oxford
13. Olver FWJ et al (2010) NIST handbook of mathematical functions. Cambridge University Press, Cambridge
14. Crank J (1975) The mathematics of diffusion. Clarendon Press, Oxford
15. Doyle CD (1965) Series approximations to the equation of thermogravimetric data. Nature 207:290–29110.1038/207290a0 ↗
16. Ehrhart P, Ullmaier H (1991) New Series III/25, Atomic Defects in Metals, Landolt-Börnstein, Vol. 25, Springer10.1007/b37800 ↗
17. Pippan R, Scheriau S, Taylor A, Hafok M, Hohenwarter A, Bachmaier A (2010) Saturation of fragmentation during severe plastic deformation. Ann Rev Mater Res 40:319–34310.1146/annurev-matsci-070909-104445 ↗
18. Steyskal EM (2010) Untersuchung freier Volumen in submikrokristallinem Nickel mit der Methode der Dilatometrie, Master Thesis, Graz University of Technology
19. Svoboda J, Fischer F, Fratzl P, Kroupa A (2002) Diffusion in multi-component systems with no or dense sources and sinks for vacancies. Acta Mater 50:1369–138110.1016/S1359-6454(01)00443-8 ↗