Simulation of the effects of different substrates, temperature, and substrate roughness on the mechanical properties of Al2O3 coating as tritium penetration barrier

  • Ze LiuEmail author
  • Fei Meng
  • Liang-Bi Yi


Residual thermal stress in the system is a serious problem that affects the application of tritium permeation barrier coatings in fusion reactors. The stress not only determines the adhesion between coating and substrate, but also changes the properties of the material. In this study, finite element analysis was used to investigate the relationship between the residual thermal stress and the mechanical properties of Al2O3 tritium penetration barrier systems. Moreover, the residual thermal stress influenced by factors such as different substrates, temperature, and substrate roughness was also analyzed. The calculation showed that the hardness and elastic modulus increased with increasing compressive stress. However, the hardness and elastic modulus decreased with increasing tensile stress. The systems composed of Al2O3 coatings and different substrates exhibited different trends in mechanical properties. As the temperature increased, the hardness and the elastic modulus increased in an Al2O3/316L stainless steel system; the trend was opposite in an Al2O3/Si system. Apart from this, the roughness of the substrate surface in the system could magnify the change in hardness and elastic modulus of the coating. Results showed that all these factors led to variation in the mechanical properties of Al2O3 tritium permeation barrier systems. Thus, the detailed reasons for the changes in mechanical properties of these materials need to be analyzed.


Finite element analysis Thermal stress Mechanical properties Al2O3 tritium penetration barrier systems Nanoindentation 


  1. 1.
    D. Levchuk, F. Koch, H. Maier et al., Deuterium permeation through Eurofer and α-alumina coated Eurofer. J. Nucl. Mater. 328, 103–106 (2004). CrossRefGoogle Scholar
  2. 2.
    A. Aiello, A. Ciampichetti, G. Benamati, An overview on tritium permeation barrier development for WCLL blanket concept. J. Nucl. Mater. 329, 1398–1402 (2004). CrossRefGoogle Scholar
  3. 3.
    T. Wang, J. Pu, C. Bo et al., Sol–gel prepared Al2O3 coatings for the application as tritium permeation barrier. Fusion Eng. Des. 85, 1068–1072 (2010). CrossRefGoogle Scholar
  4. 4.
    G. Benamati, C. Chabrol, A. Perujo, E. Rigal, H. Glasbrenner, Development of tritium permeation barriers on Al base in Europe. J. Nucl. Mater. 271, 391–395 (1999). CrossRefGoogle Scholar
  5. 5.
    X. Xiang, X. Wang, G.K. Guo et al., Preparation technique and alloying effect of aluminide coatings as tritium permeation barriers: a review. J. Hydrog. Energy 40, 3697–3707 (2015). CrossRefGoogle Scholar
  6. 6.
    T. Lee, W.K. Kim, Y.J. Lee et al., Effect of Al2O3 coatings prepared by RF sputtering on polyethylene separators for high-power lithium ion batteries. Macromol. Res. 22, 1190–1195 (2014). CrossRefGoogle Scholar
  7. 7.
    S. Kumar, D. Sarangi, P.N. Dixit et al., Diamond-like carbon films with extremely low stress. Thin Solid Films 346, 130–137 (1999). CrossRefGoogle Scholar
  8. 8.
    M. Ban, T. Hasegawa, S. Fujii et al., Stress and structural properties of diamond-like carbon films deposited by electron beam excited plasma CVD. Diam. Relat. Mater. 12, 47–56 (2003). CrossRefGoogle Scholar
  9. 9.
    Y. Oka, M. Kirinuki, Y. Nishimura et al., Measurement of residual stress in DLC films prepared by plasma-based ion implantation and deposition. Surf. Coat. Technol. 186, 141–145 (2004). CrossRefGoogle Scholar
  10. 10.
    V. Teixeira, Mechanical integrity in PVD coatings due to the presence of residual stresses. Thin Solid Films 392, 276–281 (2001). CrossRefGoogle Scholar
  11. 11.
    S. Zhang, H. Xie, X. Zeng et al., Residual stress characterization of diamond-like carbon coatings by an X-ray diffraction method. Surf. Coat. Technol. 122, 219–224 (1999). CrossRefGoogle Scholar
  12. 12.
    M.M. Morshed, B.P. McNamara, D.C. Cameron et al., Stress and adhesion in DLC coatings on 316L stainless steel deposited by a neutral beam source. J. Mater. Process. Technol. 141, 127–131 (2003). CrossRefGoogle Scholar
  13. 13.
    M.M. Morshed, D.C. Cameron, B.P. McNamara et al., DLC films deposited by a neutral beam source: adhesion to biological implant metals. Surf. Coat. Technol. 169, 254–257 (2003). CrossRefGoogle Scholar
  14. 14.
    A. Mani, P. Aubert, F. Mercier et al., Effects of residual stress on the mechanical and structural properties of TiC thin films grown by RF sputtering. Surf. Coat. Technol. 194, 190–195 (2005). CrossRefGoogle Scholar
  15. 15.
    M. Bai, K. Kato, N. Umehara et al., Nanoindentation and FEM study of the effect of internal stress on micro/nano mechanical property of thin CNx films. Thin Solid Films 377, 138–147 (2000). CrossRefGoogle Scholar
  16. 16.
    L. Karlsson, L. Hultman, J.E. Sundgren, Influence of residual stresses on the mechanical properties of TiCxN1–x (x = 0, 0.15, 0.45) thin films deposited by arc evaporation. Thin Solid Films 371, 167–177 (2000). CrossRefGoogle Scholar
  17. 17.
    R.C. Chang, F.Y. Chen, C.T. Chuang et al., Residual stresses of sputtering titanium thin films at various substrate temperatures. Nanosci. Nanotechnol. 10, 4562–4567 (2010). CrossRefGoogle Scholar
  18. 18.
    A. Mallik, B.C. Ray, Residual stress and nanomechanical properties of sonoelectrodeposited Cu films. Surf. Eng. 27, 551–556 (2011). CrossRefGoogle Scholar
  19. 19.
    O. Borrero-López, M. Hoffman, A. Bendavid et al., Substrate effects on the mechanical properties and contact damage of diamond-like carbon thin films. Diam. Relat. Mater. 19, 1273–1280 (2010). CrossRefGoogle Scholar
  20. 20.
    C. Wei, J.Y. Yen, Effect of film thickness and interlayer on the adhesion strength of diamond like carbon films on different substrates. Diam. Relat. Mater. 16, 1325–1330 (2007). CrossRefGoogle Scholar
  21. 21.
    D. Zhu, J. Chen, Thermal stress analysis on chemical vapor deposition tungsten coating as plasma facing material for EAST. J. Nucl. Mater. 455, 185–188 (2014). CrossRefGoogle Scholar
  22. 22.
    L.M. Jin, N.X. Wang, W.Q. Zhu et al., FEA-based structural optimization design of a side cooling collimating mirror at SSRF. Nucl. Sci. Tech. 28, 159 (2017). CrossRefGoogle Scholar
  23. 23.
    J.B. Yu, J.X. Chen, L. Kang et al., Thermal analysis and tests of W/Cu brazing for primary collimator scraper in CSNS/RCS. Nucl. Sci. Tech. 28, 46 (2017). CrossRefGoogle Scholar
  24. 24.
    A. Karimzadeh, M.R. Ayatollahi, M. Alizadeh, Finite element simulation of nano-indentation experiment on aluminum 1100. Comp. Mater. Sci. 81, 595–600 (2014). CrossRefGoogle Scholar
  25. 25.
    L. Gan, B. Ben-Nissan, The effects of mechanical properties of thin films on nano-indentation data: finite element analysis. Comp. Mater. Sci. 8, 273–281 (1997). CrossRefGoogle Scholar
  26. 26.
    X. Chen, J. Yan, A.M. Karlsson, On the determination of residual stress and mechanical properties by indentation. Mater. Sci. Eng., A 416, 139–149 (2006). CrossRefGoogle Scholar
  27. 27.
    M. Kot, W. Rakowski, J.M. Lackner et al., Analysis of spherical indentations of coating-substrate systems: experiments and finite element modeling. Mater. Des. 43, 99–111 (2013). CrossRefGoogle Scholar
  28. 28.
    A.C. Fischer-Cripps, Nanoindentation Instrumentation (Springer, New York, 2011)CrossRefGoogle Scholar
  29. 29.
    W.C. Oliver, G.M. Pharr, An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564–1583 (1992). CrossRefGoogle Scholar
  30. 30.
    M.F. Doerner, D.S. Gardner, W.D. Nix, Plastic properties of thin films on substrates as measured by submicron indentation hardness and substrate curvature techniques. J. Mater. Res. 1, 845–851 (1986). CrossRefGoogle Scholar
  31. 31.
    I.N. Sneddon, The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47–57 (1965). MathSciNetCrossRefzbMATHGoogle Scholar
  32. 32.
    R.B. King, Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23, 1657–1664 (1987). CrossRefzbMATHGoogle Scholar
  33. 33.
    R. Elsing, O. Knotek, U. Balting, Calculation of residual thermal stress in plasma-sprayed coatings. Surf. Coat. Technol. 43, 416–425 (1990). CrossRefGoogle Scholar
  34. 34.
    C. Wei, J.F. Yang, A finite element analysis of the effects of residual stress, substrate roughness and non-uniform stress distribution on the mechanical properties of diamond-like carbon films. Diam. Relat. Mater. 20, 839–844 (2011). CrossRefGoogle Scholar
  35. 35.
    W.X. Zhang, X.L. Fan, T.J. Wang, The surface cracking behavior in air plasma sprayed thermal barrier coating system incorporating interface roughness effect. Appl. Surf. Sci. 258, 811–817 (2011). CrossRefGoogle Scholar
  36. 36.
    M. Lichinchi, C. Lenardi, J. Haupt et al., Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 312, 240–248 (1998). CrossRefGoogle Scholar
  37. 37.
    Y. Wu, S. Zhu, T. Liu et al., The adhesion strength and deuterium permeation property of SiC films synthesized by magnetron sputtering. Appl. Surf. Sci. 307, 615–620 (2014). CrossRefGoogle Scholar
  38. 38.
    H. Liu, J. Tao, Y. Gautreau et al., Simulation of thermal stresses in SiC–Al2O3 composite tritium penetration barrier by finite-element analysis. Mater. Des. 30, 2785–2790 (2009). CrossRefGoogle Scholar
  39. 39.
    M. Grujicic, H. Zhao, Optimization of 316 stainless steel/alumina functionally graded material for reduction of damage induced by thermal residual stresses. Mater. Sci. Eng. A 252, 117–132 (1998). CrossRefGoogle Scholar
  40. 40.
    H. Pelletier, J. Krier, A. Cornet et al., Limits of using bilinear stress–strain curve for finite element modeling of nanoindentation response on bulk materials. Thin Solid Films 379, 147–155 (2000). CrossRefGoogle Scholar
  41. 41.
    Z. Liu, G.G. Yu, A.P. He et al., Simulation of thermal stress in Er2O3 and Al2O3 tritium penetration barriers by finite-element analysis. Plasma Sci. Technol 19, 095602 (2017). CrossRefGoogle Scholar
  42. 42.
    G. Cheng, D. Han, C. Liang, Influence of residual stress on mechanical properties of TiAlN thin films. Surf. Coat. Tech. 228, 328–330 (2013). CrossRefGoogle Scholar
  43. 43.
    D.J. Ward, A.F. Williams, Finite element simulation of the development of residual stress in IAPVD films. Thin Solid Films 355, 311–315 (1999). CrossRefGoogle Scholar
  44. 44.
    O. Sarikaya, Effect of some parameters on microstructure and hardness of alumina coatings prepared by the air plasma spraying process. Surf. Coat. Tech. 190, 388–393 (2005). CrossRefGoogle Scholar

Copyright information

© China Science Publishing & Media Ltd. (Science Press), Shanghai Institute of Applied Physics, the Chinese Academy of Sciences, Chinese Nuclear Society and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Key Laboratory for Radiation Physics and Technology of Ministry of Education, Institute of Nuclear Science and TechnologySichuan UniversityChengduChina
  2. 2.Chengdu Youfang Technology Co., LtdChengduChina
  3. 3.Southwestern Institute of PhysicsChengduChina

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