Analysis on high-temperature oxidation and growth stress of iron-based alloy using phase field method

doi:10.1007/s10483-011-1455-8

Abstract

Abstract: High-temperature oxidation is an important property to evaluate thermal protection materials. However, since oxidation is a complex process involving microstructure evolution, its quantitative analysis has always been a challenge. In this work, a phase field method (PFM) based on the thermodynamics theory is developed to simulate the oxidation behavior and oxidation induced growth stress. It involves microstructure evolution and solves the problem of quantitatively computational analysis for the oxidation behavior and growth stress. Employing this method, the diffusion process, oxidation performance, and stress evolution are predicted for Fe-Cr-Al-Y alloys. The numerical results agree well with the experimental data. The linear relationship between the maximum growth stress and the environment oxygen concentration is found. PFM provides a powerful tool to investigate high-temperature oxidation in complex environments.

2010 MSC Number:

74D05

YANG Fan;LIU Bin;FANG Dai-Ning. Analysis on high-temperature oxidation and growth stress of iron-based alloy using phase field method. Applied Mathematics and Mechanics (English Edition), 2011, 32(6): 757-764.

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References

[1] Kulkarni, A. J. and Zhou, M. Surface-effects-dominated thermal and mechanical responses of zinc
oxide nanobelts. Acta Mechanica Sinica, 22(3), 217–224 (2006)

[2] Li, W. G., Yang, F., and Fang, D. N. The temperature-dependent fracture strength model for
ultra-high temperature ceramics. Acta Mechanica Sinica, 26(2), 235–239 (2010)

[3] Kaufman, L., Clougher, E. V., and Berkowit, J. B. Oxidation characteristics of hafnium and
zirconium diboride. Transactions of the Metallurgical Society of AIME, 239(4), 458–466 (1967)

[4] Gee, S. M. and Little, J. A. Oxidation behavior and protection of carbon/carbon composites.
Journal of Materials Science, 26(4), 1093–1100 (1991)

[5] Opila, E., Levine, S., and Lorincz, J. Oxidation of ZrB2- and HfB2-based ultra-high temperature
ceramics: effect of Ta additions. Journal of Materials Science, 39(19), 5969–5977 (2004)

[6] Monteverde, F. The thermal stability in air of hot-pressed diboride matrix composites for uses at
ultra-high temperatures. Corrosion Science, 47(8), 2020–2033 (2005)

[7] Pilling, N. B. and Bedworth, R. E. The oxidation of metals at high temperatures. Journal of the
Institute of Metals, 29, 529–582 (1923)

[8] Wagner, C. The theory of the warm-up process. Zeitschrift fur Physikalische Chemie–Abteilung
B–Chemie der Elementarprozesse Aufbau der Materie, 21(1-2), 25–41 (1933)

[9] Markworth, A. J. Kinetics of anisothermal oxidation. Metallurgical Transactions A–Physical Metallurgy
and Materials Science, 8(12), 2014–2015 (1977)

[10] Parthasarathy, T. A., Rapp, R. A., Opeka, M., and Kerans, R. J. A model for the oxidation of
ZrB2, HfB2 and TiB2. Acta Materialia, 55(17), 5999–6010 (2007)

[11] Chou, K. C. and Hou, X. M. Kinetics of high-temperature oxidation of inorganic nonmetallic
materials. Journal of the American Ceramic Society, 92(3), 585–594 (2009)

[12] Hou, X. M. and Chou, K. C. Investigation of isothermal oxidation of AlN ceramics using different
kinetic model. Corrosion Science, 51(3), 556–561 (2009)

[13] Huntz, A. M. Stresses in NiO, Cr2O3 and Al2O3 oxide scales. Materials Science and Engineering
A–Structural Materials Properties Microstructure and Processing, 201(1-2), 211–228 (1995)

[14] Tolpygo, V. K. and Clarke, D. R. Competition between stress generation and relaxation during
oxidation of an Fe-Cr-Al-Y alloy. Oxidation of Metals, 49(1-2), 187–212 (1998)

[15] Chen, L. Q. and Shen, J. Applications of semi-implicit Fourier-spectral method to phase field
equations. Computer Physics Communications, 108(2-3), 147–158 (1998)

[16] Chen, L. Q. Phase-field models for microstructure evolution. Annual Review of Materials Research,
32, 113–140 (2002)

[17] Ma, X. Q., Shi, S. Q.,Woo, C. H., and Chen, L. Q. The phase field model for hydrogen diffusion and
γ-hydride precipitation in zirconium under non-uniformly applied stress. Mechanics of Materials,
38(1-2), 3–10 (2006)

[18] Guo, X. H., Shi, S. Q., and Qiao, L. J. Simulation of hydrogen diffusion and initiation of hydrogeninduced
cracking in PZT ferroelectric ceramics using a phase field model. Journal of the American
Ceramic Society, 90(9), 2868–2872 (2007)

[19] Song, Y. C., Soh, A. K., and Ni, Y. Phase field simulation of crack tip domain switching in
ferroelectrics. Journal of Physics D–Applied Physics, 40(4), 1175–1182 (2007)

[20] Shewmon, P. G. Diffusion in Solid, McGraw-Hill, New York (1963)

[21] Reddy, K. P. R., Smialek, J. L., and Cooper, A. R. O-18 tracer studies of Al2O3 scale formation
on NiCrAl alloys. Oxidation of Metals, 17(5-6), 429–449 (1982)